Hot Plasma Composition Analyzer for the Magnetospheric Multiscale Mission
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Abstract
This paper describes the science motivation, measurement objectives, performance requirements, detailed design, approach and implementation, and calibration of the four Hot Plasma Composition Analyzers (HPCA) for the Magnetospheric Multiscale mission. The HPCA is based entirely on electrostatic optics combining an electrostatic energy analyzer with a carbon-foil based time-of-flight analyzer. In order to fulfill mission requirements, the HPCA incorporates three unique technologies that give it very wide dynamic range capabilities essential to measuring minor ion species in the presence of extremely high proton fluxes found in the region of magnetopause reconnection. Dynamic range is controlled primarily by a novel radio frequency system analogous to an RF mass spectrometer. The RF, in combination with capabilities for high TOF event processing rates and high current micro-channel plates, ensures the dynamic range and sensitivity needed for accurate measurements of ion fluxes between ∼1 eV and 40 keV that are expected in the region of reconnection events. A third technology enhances mass resolution in the presence of high proton flux.
In order to calibrate the four HPCA instruments we have developed a unique ion calibration system. The system delivers a multi-species beam resolved to M/ΔM∼100 and current densities between 0.05 and 200 pA/cm2 with a stability of ±5 %. The entire system is controlled by a dedicated computer synchronized with the HPCA ground support equipment. This approach results not only in accurate calibration but also in a comprehensive set of coordinated instrument and auxiliary data that makes analysis straightforward and ensures archival of all relevant data.
Keywords
Plasma ion composition Reconnection measurements Time-of-Flight mass spectrometryGlossary
- ASIC
Application specific integrated circuit
- CAPS
Cassini Plasma Spectrometer
- C&DH
Command and data handling
- CCSDS
Consultative Committee for Space Data Systems (a telemetry standard)
- CFD
Constant fraction discriminator
- CIDP
Central Instrument Data Processor
- CRU
Calibration Reference Unit
- DAC
Digital-to-analog converter
- DIS
Dual Ion Sensors
- EEPROM
Electrically Erasable Programmable Read-Only Memory
- EGSE
Electrical Ground Support Equipment
- EPD
Energetic Particle Detector
- EPIC
Energetic Plasma Ion Calibration system
- ESA
Electrostatic analyzer
- FC
Faraday cup
- FEE
Front-end electronics
- FM
HPCA Flight Model (1 through 4)
- FOV
Field-of-view
- FPGA
Field programmable gate array
- FPI
Fast Plasma Instrument
- FSW
Flight software
- FWHM
Full-width at half maximum
- HPCA
Hot Plasma Composition Analyzer
- HV
High voltage
- HVPS
High Voltage Power Supply
- LVPS
Low Voltage Power Supply
- Mbps
Megabits/second
- MCP
Microchannel-plate detector
- MMS
Magnetospheric Multiscale Mission
- PCB
Printed circuit board
- Rice
A lossless data compression technique named for Robert F. Rice
- RF
Radiofrequency
- SNR
Signal-to-noise ratio
- SOC
Science Operations Center
- SPARC
8-core 1.2 GHz Microprocessor
- TIDE
Thermal Ion Detector Experiment
- TOF
Time-of-flight
- TOFA
Time-of-flight Analyzer
- UHV
Ultra-high vacuum
Symbols
- A
Instrument aperture area
- Aeff
Instrument effective area
- AFC
Faraday cup aperture area
- B
Magnetic field strength
- c
Speed of light
- cA
Alfven velocity
- Cij(v)
Counting rate for species i at energy step j
- e
Electron charge
- E∗
Total ion energy inside TOF analyzer
- Ej
Ion energy at step j
- E/ΔE
Energy resolution
- ΔEfoil
Energy lost in carbon foil due to scattering
- Emax
Maximum ion energy scanned
- Emin
Minimum energy scanned
- fij(v)
Ion velocity distribution function for species i at energy step j
- Fij
Differential directional ion number flux
- Gv
Velocity-dependent geometric factor
- H
Perpendicular distance from foil center to MCP
- i
Species identifier
- j
Energy step number
- I0
Calibration ion beam current
- k
ESA analyzer constant
- kESA
Calibration reference unit ESA analyzer constant
- L
Ion path length from foil to MCP
- LC
Slant distance from a foil center to the MCP center
- L0
Slant distance from the foil normal to the MCP
- \(\mathcal{M}\)
Mach number
- Mi
Ion mass/charge for species i
- Mp
Proton mass
- M/q
Ion mass/charge ratio
- M/ΔM
Mass resolution
- N
Total ion number density
- NB
Calibration ion beam number density
- N′
Number density measured by a non-mass-discriminating electrostatic analyzer
- Ni
Number density of ion species i
- Pi
Ion pressure
- q
Total ion charge
- R
Radius on MCP of ion with path length L
- R0
Toroid major radius
- R1
Toroid minor radius
- RExit
Radius of the center of the ESA exit
- RFoil
Radius to the center of the carbon foils
- RMCP
Radius of the MCP sensitive area
- T
Ion time-of-flight
- T/ΔT
TOF resolution
- tmax
Maximum TOF through the TOF flight volume
- v
Velocity
- VB
Calibration ion beam velocity
- Vj
High voltage applied to ESA at energy step j
- Vacc
TOF acceleration voltage
- V0
Ion directional flow velocity
- vth
Ion thermal velocity
- α
Azimuthal angle
- β
Elevation angle
- Δα
Azimuthal angle resolution
- Δβ
Elevation angle resolution
- Δi
Ion inertial length for species i
- Δt
Measurement interval
- ΔVESA
Voltage applied to the CRU ESA
- εij
Species- and energy-dependent detector efficiency (≤1)
- ε0
Permittivity of free space
- γESA
ESA bending angle
- γ
Square root of the ratio of ion mass to proton mass
- κi
Fractional number density of heavy ions
- μ0
Vacuum permeability
- ρ
Ion mass density
- ρ′
Mass density measured by a non-mass-discriminating electrostatic analyzer
- Φ
Angle between foil normal and plane of MCP
- σij
Species- and energy-dependent losses due to grid and foil transmission (≤1)
- τFC
Faraday cup aperture grid transmission (<1)
- τij
Species- and energy-dependent transmission (≤1)
- Ωi
Ion cyclotron frequency for species i
- ωpi
Ion plasma frequency
1 Introduction
Magnetic reconnection is a fundamental universal plasma process that converts energy stored in magnetic fields into particle acceleration and heating. Despite many years of study, both remotely and in situ, this important process is still poorly understood, in part because detection techniques have not been up to the task of measuring key reconnection phenomena. The goal of the Hot Plasma Composition Analyzer (HPCA) investigation is to support the Magnetospheric Multiscale mission (MMS) by determining the ways in which key marker species found in the solar wind and Earth’s magnetosphere (H+, He++, He+ and O+) contribute to reconnection phenomena.
There is a large amount of literature dealing with experimental observations of reconnection as well as many papers on reconnection theory and simulations. We make no attempt to review this topic in any detail. In this volume Burch et al. (2014), Fuselier et al. (2014), and Hesse et al. (2014) give comprehensive reviews of reconnection phenomena and discuss the scientific objectives of the MMS mission. In addition to their reviews we have found papers by Shay et al. (2001), Kuznetsowa et al. (2001), Phan et al. (2003), and Drake et al. (2009) useful in formulating instrument science goals and requirements.
We begin with a short discussion of the ways in which plasma composition affects reconnection phenomena (see for example Drake et al. 2009), and why composition measurements are key to mission science objectives. We then present the specific objectives of the HPCA investigation, derive measurement and performance requirements based on these objectives, describe the design and implementation of the instrument, and present calibration data verifying HPCA performance.
By way of introduction, the HPCA is a time-of-flight (TOF) mass spectrometer designed to measure the velocity distributions of the four ion species (H+, He++, He+ and O+) known to be important in the reconnection process. The measurement technique is based on a combination of electrostatic energy-angle analysis with time-of-flight velocity analysis. The result is an accurate determination of the velocity distributions of the individual ion species. In order to meet the stringent scientific requirements of the MMS mission, the HPCA incorporates three new technologies. The first extends counting rate dynamic range by employing a novel radio frequency mass filter that allows minor species such as He++ and O+ to be measured accurately in the presence of intense proton fluxes found in the dayside magnetopause. The second ensures that TOF processing rates are high enough to overlap with the low end of the RF dynamic range, while the third enhances ion mass resolution.
2 Science Objectives
Upper panel: Models of magnetic field lines (white) and current density (red) in the region of the x-line during reconnection. Bottom panel: Models of the density of O+ (red) and H+ (blue) during reconnection. Ordinate and abscissa are given in units of ion inertial lengths. The vertical arrows in both panels show the relative scale size of ion inertial length of the two species. Note the concentration of O+ into narrow sheets in the lower panel as it is accelerated out of the reconnection exhaust region
Ions flow into the reconnection volume at relatively low speeds proportional to the ratio of the width to length of the region times the Alfven velocity (Fig. 1). Because of the thinness of the electron diffusion region this ratio is very small and typical inflow velocities are limited to ∼10 km/s. As reconnection proceeds ions drift into the electron dissipation region where they are demagnetized and accelerated by reconnection electric fields into the Alfven exhaust region, creating narrow jets. Ion energies, which are proportional to the product of the Alfven velocity times their mass (\(\sim m_{i}C_{A}^{2}\)), can be very high (∼100 keV) depending on plasma conditions.
Ions and electrons flowing into the ion diffusion region have large differences in gyroradii. Consequently they move very differently and tend to separate in the reconnecting volume where the magnetic field lines are tightly curved and ions become demagnetized. This leads to de-coupling of electron and ion motions particularly in the electron diffusion region where the magnetic field virtually disappears. Motions are then governed by reconnection electric fields. Because the electron scale lengths in reconnection are small, the much slower ions are relatively unimportant in the narrow electron diffusion region other than for charge conservation. Instead, the large gyroradii of the much heavier ions determine the overall size of the reconnection region that is related to the dimensional aspect ratio and the ion inertial length (Fig. 1).
The situation in reconnection is complicated not only by the large differences in gyroradii of H+ and O+, but also because of the variability in their relative number densities which depend on solar wind and geomagnetic activity (Geiss et al. 1978; Young et al. 1982). Yet one more reason that knowledge of ion composition is critical to understanding how ions control reconnection.
Another species-dependent phenomenon of interest is mass transport across the magnetopause during reconnection. Obviously it is impossible to calculate the mass density of plasma being transported without knowing the identity of the ions taking part. This leads to another important HPCA science objective, namely identification of the sources of plasma undergoing reconnection. Alpha particles (He++) are associated with a solar wind source, while He+ and O+ are terrestrial in origin, making them excellent markers. Protons may originate from either source making them useless as markers.
Here it is important to point out that the speed with which HPCA measures composition over three dimensions is one-half of a spacecraft spin period (nominally 10 s). However ion phenomena of major importance to reconnection can occur on much faster time scales (≪1 s). For this reason each MMS spacecraft carries four Dual Ion Sensors (DIS), part of the Fast Plasma Investigation (FPI). The DIS are capable of measuring 3-dimensional velocity distributions of the total plasma ion content at the very high rate of 150 ms per distribution. The energy and angular ranges and resolution of the DIS and HPCA match. Since composition is not expected to change on time scales much below 10 s there is a natural division of labor between the two instruments: FPI will provide high time resolution measurements of the ion distributions while HPCA will provide complementary data on ion composition. During analysis the two data sets can be combined to give an unprecedented view of composition-resolved plasma dynamics.
Because species-dependent effects are important, it is imperative that the composition of reconnecting plasmas is measured accurately over the full range of ion velocities (Paschmann et al. 1986). This leads to the overarching science objective of the HPCA investigation, namely measuring the velocity distributions of all significant ion species (H+, He++, He+, O+) taking part in reconnection. In the remainder of this section we discuss quantitative considerations that go into meeting this objective.
As noted above, the overall size of a reconnection region is determined by ion decoupling and diffusion across the magnetic field. The typical scale length for the diffusion region varies with the ion inertial length Δ i =c/ω pi =(ε 0 M i /Ne 2)1/2 (in cgs units), where ω pi is the ion plasma frequency, M i is ion mass/charge of species i, N is the total ion number density and ε 0 and e are the permittivity of free space and the magnitude of the electron charge respectively. With reference to Fig. 1, the difference between O+ and H+ inertial lengths on the scale of reconnection is considerable (a factor of four), illustrating the need for measurements of mass-resolved velocity distributions within the ion diffusion region.
Plasma parameters requiring composition measurements for their determination
| Science requirement | Equation | Measured parameters |
|---|---|---|
| Ion inertial length | c/ω pi =(ε 0 M i /N 0 e 2)1/2 | Mass, density |
| Ion cyclotron freq. | Ω i =eB/M i | Mass |
| Ion acceleration | \(E _{i} \sim M _{i} c_{A}^{2}\) | Mass |
| Alfven velocity | c A =B/(μ 0 N i M i )1/2 | Mass density |
| Wahlen condition | ΔV=f(M i N i ,P i ) | Mass density, ion pressure |
By way of a summary, Table 1 lists parameters for which ion identity and mass are essential to ensure measurement accuracy.
3 Measurement Objectives and Requirements
3.1 Measurement Objectives
-
Resolve plasma velocity distributions including flows and temperatures in the reconnection diffusion region within 10 s.
-
Detect the decoupling of ions from the magnetic field across the reconnection region.
-
Determine ion inflow and outflow velocities, plasma pressure gradients and ion anisotropies.
-
Measure mass flow rates across the magnetopause during reconnection.
3.2 Measurement Requirements
Schematic representation of the peak proton energy flux in the vicinity of magnetic reconnection taking place in the dense dayside magnetopause. The O+ distribution is characteristic of the low density magnetotail
The intense proton fluxes contrast with very diffuse O+ and other minor ion distributions found in the magnetotail. The idealized distribution peaks at ∼3×105 keV/cm sr keV at energies ∼5 keV. Although covering the peak energy is critical, Fig. 2 makes clear that a full characterization of minor species distributions requires measurements of energy flux down to ∼104 keV/cm sr keV at energies up to ∼30 keV.
Plasma flows in the magnetosheath, magnetopause and reconnection also put requirements on instrument angular resolution. The half-angle range of the velocity anisotropy of a flowing distribution is roughly Δθ 1/2∼v th /V 0∼1/(ion Mach number). The latter is expected to be ∼2 or less in the low latitude boundary layer. Then Δθ 1/2∼ 0.5 radians ∼30° which requires a resolution of ∼10° to define the flow.
- 1.
Ion energy from 10 eV to 30 keV with a resolution of 20 %
- 2.
Ion arrival directions over 4π sr resolved into ∼20∘×20∘ pixels
- 3.
Ion energy flux from ∼104 to ∼3×109 keV/cm sr keV
- 4.
Ion velocity distributions resolved into H+, He++, He+ and O+
- 5.
Complete this suite of measurements within 10 s (1/2 spacecraft spin period)
4 Performance Requirements
From the above list of measurement requirements we can derive corresponding performance requirements that will determine the detailed design of the instrument.
The four ion species of interest have mass/charge (M i /q) ratios of i=1, 2, 4 and 16 which requires relatively low mass resolution M/ΔM=4 for separation. Because the HPCA is a time-of-flight instrument we need TOF resolution T/ΔT=2M/ΔM=8.
The requirement that HPCA measure ion velocities in the reconnection region sets angle and energy resolution as does the goal of acquiring 3-D distributions in 10 s. HPCA energy resolution ΔE/E must be ≤20 % over the range ∼10 eV to 30 keV. Because it is easily achieved and requires only a small increase in resources, we chose to set the energy range at ∼1 eV to 40 keV. In order to evenly sample energy and angle, the spacecraft spin is divided into 32 equally spaced 11.25° azimuthal intervals each lasting 625 ms during which the energy range is swept. We can estimate the number of logarithmically-spaced steps per energy scan as \(\mathcal{N}= (E/\Delta E) \ln (E_{\max}/E_{\min}) = 53\). Operationally it is desirable to use a binary number of steps so we chose \(\mathcal{N}= 64\) which gives a spacing interval ΔE/E=0.17 at stepping rate of 9.7656 ms. Allowing for high voltage settling times gives the sampling interval live time τ=8.95 ms.
Ion flows can be resolved with an angular resolution Δα∼10∘ which happens to be the typical resolution of ESA optics. However, in order to achieve evenly distributed azimuthal samples we set Δα=11.25∘.
Given the nominal MMS spacecraft spin rate of 3 rpm (20 s per revolution) a top-hat analyzer with a field-of-regard of 360° in the plane containing the spacecraft spin axis will cover 4π sr in 10 s. Ion optical considerations lead to a choice of 16 elevation samples for a resolution Δβ=22.5∘ and a pixel size of Δα×Δβ=11.25∘×22.5∘.
HPCA sensitivity is driven by the need to obtain accurate measurements of low density O+ in the magnetotail. We know from prototype testing that HPCA is capable of a per-pixel geometric factor G∼ few ×10−4 cm2 sr s keV/keV. This is a reasonable rough value that would meet science requirements for the following reason. Based on Fig. 2 we choose a minimum flux ∼5×104 keV/cm2 s sr keV to be measured over 4π sr in 1/2 of a spin period. For a precision (not accuracy) of ∼10 % we require a counting rate C −1/2∼0.1 amounting to ∼100 counts per 10 s spin period or C∼10 counts/s. Using Eq. (5) and setting Δt=1s, we estimate the required geometric factor G∼C/F∼(10 counts/s)/(5×104 keV/cm2 s sr keV)∼2×10−4 keV cm2 s sr/keV.
With a per-pixel geometric factor ∼2×10−4 keV cm2 s sr/keV, proton fluxes encountered in the dayside magnetopause can produce very high counting rates, creating problems for both the MCP (due to strip current limitations) and the TOF electronics (due to dead time effects). As we noted above, it is likely that fluxes even higher than those in Fig. 2 will be encountered during the mission. We will use ∼3×109 keV/cm2 s sr keV as a guideline for the peak proton energy flux and add a reasonable margin ∼2× to the upper limit the instrument can tolerate.
A per-pixel geometric factor of 2×10−4 keV cm2 s sr/keV near the peak H+ energy flux gives ∼106 counts/s per sr. At any given instant however, a relatively low Mach number flow could result in total flux reaching the MCP from all directions as high as ∼10 times this rate or ∼107 counts/s. Adding a factor of two margin of safety requires that the MCP and TOF electronics respond accurately to rates spread over the MCP as high as 2×107 s−1.
HPCA performance requirements
| Parameter | Variable | Required Value |
|---|---|---|
| Sensitivity | Energy-dependent geometric factor | 3×10−3 cm2 sr keV/keV (total) |
| Maximum potential counting rate | 20 MHz | |
| Mass/charge | Range | 1 to 16 amu/e |
| Resolution (M/ΔM) | 4 at FWHM | |
| Energy/charge | Range | 10 eV to 40 keV |
| Resolution (ΔE/E) | ≤0.2 FWFM | |
| Energy range scan rate | 64 log-spaced samples per 0.625 s | |
| Angle | Field-of-regard | 11.25° × 360° |
| Field-of-view resolution | 11.25° azimuth × 22.5° elevation FWFM | |
| Number of pixels over 4π sr | 32 azimuth × 16 elevation | |
| Dynamic range | Maximum detectable energy flux | ∼3×109 keV/cm2 sr s keV of H+ |
| Minimum detectable energy flux | ∼3×104 keV/cm2 sr s keV of H+ | |
| Dynamic range | ≳105 | |
| Timing | 3-D velocity distribution | \(\frac{1}{2}\) spacecraft spin (10 s) |
| 2-D energy-elevation scan | 625 ms | |
| Single sample all elevations | 8.95 ms |
5 Instrument Overview
Because of its complexity, we introduce the HPCA in this section by taking a high level tour of the instrument. In Sect. 6 we will work through the design in detail.
The HPCA combines an electrostatic energy analyzer (ESA) with a carbon foil based TOF analyzer (TOFA) to measure ion energy/charge, angle of arrival, and mass/charge (Young 1989; Gloeckler 1990; Wuest 1998). In the remainder of the paper energy/charge and mass/charge are referred to as “energy” and “mass” respectively unless otherwise noted.
Over the past 20 years our group has developed several plasma composition analyzers based on TOF (Young et al. 1989, 1990, 2004, 2007; Moore et al. 1995; McComas et al. 1998). In order to solve the sensitivity and dynamic range issues discussed in the previous section, the HPCA incorporates several innovations in both ion optics and TOF electronics that lead to significant improvements in performance compared to earlier instruments. In this section we present an overview of the HPCA as a system beginning with the sensor and working through to the electronics and instrument operation.
Cutaway drawing of the HPCA showing its FOV and internal features. The red line is a typical ion trajectory passing through the collimator, electrostatic analyzer and TOF analyzer to the microchannel plate detector
Elevation cross-section of the HPCA sensor and electronics
Schematic drawing of the HPCA sensor showing the main optical design elements together with characteristic ion and electron trajectories. The ion trajectories through the ESA are shown with the RF field operating to deflect protons (black trajectories) while transmitting O+ (red trajectories)
The sensor is a rotationally symmetric ‘tophat’ ESA combined with a carbon-foil based TOFA. Ions enter through a grounded grid and collimator and then are guided by the tophat electric field into the ESA. High fluxes of protons entering the ESA can be selectively attenuated by a radiofrequency (RF) electric field coupled to the DC field that selects ion energy/charge.
Ions exiting the ESA are accelerated by −15 kV and then penetrate ultra-thin carbon foils (∼1 μg/cm2) into the TOFA. Ions fly through the nearly field-free TOFA where they strike an MCP detector, resulting in an electron cloud that reaches a segmented anode. Ion charge is distributed on two anode delay lines, one of which records elevation while the other records the radial position of ions hitting the MCP. The latter information is used to correct the TOF measurement, improving mass resolution.
Delay times and ion TOF are measured by three time-to-digital converters (TDCs) that in combination give the elevation, radial position, energy and TOF for each ion. An FPGA then bins the TDC data and sends it to the Command and Data Handling (C&DH) system that compresses and packages the data before transmitting it to the Instrument Suite’s Central Instrument Data Processor (CIDP).
Graphic rendering of the assembled HPCA flight unit showing details of the external thermal control system (MLI attach ring and heaters) as well as the purge line into the base of the MCP stack
Photograph of the completed HPCA Flight Model 1
MMS spacecraft showing the location of the HPCA in Bay 6 on the instrument deck
This completes the general description of HPCA design features and functionality. In the following sections we discuss in detail the design and implementation of the ion optics and electronics.
6 Detailed Design
The sensor design is described in terms of first order optics, i.e., only the principal trajectories are considered. In addition to being the simplest way to discuss the optics, our early design efforts centered on first order optics to allow many alternatives to be explored rapidly. Final design features were determined by numerical simulations.
6.1 Electrostatic Analyzer (ESA)
6.1.1 Ion Optics
We will describe the optics in the sense that particles fly through the ESA and TOFA to the detector (Fig. 5). Relative locations will be referenced as though the instrument was sitting vertically. Thus the collimator is “above” the ESA, which is above the TOFA, etc. We defer a description of the RF subsystem to Sect. 6.4 where the problem of dynamic range is addressed.
Characteristic ion and electron trajectories viewed in the same plane as Fig. 5. Black lines are ions; red lines inside the TOFA correspond to both ions and neutrals. Blue lines leaving the top MCP are electron trajectories. Lines that appear to go outside of the ESA result from projection of 3-dimensional trajectories on the 2-dimensional plot
Characteristic ion and electron trajectories viewed in the plane orthogonal to Fig. 9. Trajectory colors are the same
Characteristic ion trajectories through the ESA and TOF regions as seen from above the collimator. Black rays are ions passing through the ESA while red rays have penetrated the foil and are inside the TOF analyzer
Ions enter HPCA via a collimator that consists of two parallel, electrically grounded disks held together by eight posts whose cross sections are designed to prevent scattering of incoming ions in elevation. The collimator has edges that trim the azimuthal FOV and limit trajectories entering with energies outside the ESA passband. A high transmission grid is mounted slightly inboard of the collimator to prevent RF emissions escaping that might cause electrical interference with the spacecraft.
Spectrogram showing a simulation of the relative number of ions able to start at the carbon foil and reach the collimator entrance via the ESA. Horizontal dimensions are centered on an elevation pixel. Vertical dimensions are height above an arbitrary reference point in the SIMION ray tracing program
The ESA is comprised of two concentric mildly toroidal shells. The grounded outer shell supports the collimator assembly while the inner operates at a negative voltage proportional to ion energy/charge. The inner shell is divided into two parts: the upper carries only the ESA DC voltage while the lower carries combined DC and RF voltages. This assembly, including the RF distribution network (Fig. 4), is suspended above the TOFA by a thin conical insulator made of the low-outgassing polymer Ultem 1000. In order to suppress any possible electromagnetic interference, the local RF distribution network resides within the inner ESA shell. High voltage is delivered to the inner shell via hollow spokes that support the inner shell assembly. Posts supporting the collimator, and spokes supporting the inner ESA, were designed to minimize blockage of the elevation pixels. That feature, together with elevation focusing (Fig. 10), resulted in the full theoretical passband of 22.5° being maintained.
Key dimensions of the sensor optics. Table 3 gives the final numerical values
These first order equations show the dependence of sensitivity and resolution on sensor geometry and suggest design tradeoffs. In particular, sensitivity is proportional to \(R_{0}^{2}\), which quickly drives up instrument size for a given resolution (k=constant). For a given instrument size (fixed R 0) resolution drives sensitivity even faster: doubling resolution decreases sensitivity by nearly an order of magnitude. Increasing resolution (smaller k) has the advantage of reducing the amount of high voltage on the inner ESA shell for a given particle energy (15).
Key HPCA optical dimensions
| Parameter | Symbol | Dimension |
|---|---|---|
| Outer collimator radius | – | 77.58 mm |
| ESA poloidal radius | R 0 | 47.56 mm |
| ESA poloidal minor radius | R 1 | 11.89 mm |
| ESA toroidal radius | R 0+R 1 | 59.45 mm |
| ESA toroidal/poloidal ratio | R 0/R 1 | 4.0 |
| ESA shell gap | ΔR | 4.00 mm |
| Top-hat spacing | Z 0 | 16.20 mm |
| ESA bending angle | γ ESA | 128° |
| Angle between ESA exit and foil normal | Φ | 51.44° |
| Distance grounded lens to TOFA foil | d | 12.08 mm |
| Central foil radius | R Foil | 36.66 mm |
| Height of TOFA flight region | H | 24.62 mm |
| Distance from foil normal to MCP | L 0 | 31.4 mm |
| Distance from foil to MCP center | L C | 44.16 mm |
| Sensor height | — | 169 mm |
6.1.2 ESA Electronics
Schematic diagram of high voltage distribution inside the sensor
6.2 Time-of-Flight Analyzer (TOFA)
6.2.1 Ion Optics
The TOFA consists of a cylindrical volume topped by 16 equally-spaced carbon foils biased at −15 kV (Fig. 5). Ions exiting the ESA are accelerated by −15 kV across a gap between the ESA and TOFA into carbon foils (∼1 μg/cm2) mounted on 90 % transmissive 333 lines-per-inch grids. The post-acceleration of −15 kV ensures that all ion species, including those with external energies as low as a few eV, are able to penetrate the foils. Ions exit the foils either positively or negatively charged or as neutrals. (In what follows we continue to refer to the particles as “ions.”) The TOFA optics are designed so that charge state doesn’t appreciably affect trajectories inside the analyzer.
Numerical simulation of the trajectories of electrons leaving the carbon foils being focused down on to the top MCP. Colors represent relative energy. Blue corresponds to ∼zero eV while red is ∼1.4 keV
Numerical simulations showing the footprint of electrons leaving the foils in Fig. 15 and striking the top MCP. Note that all of the electron images fall within the anodes outlined in white
The foil image on the top MCP is transmitted to the bottom MCP by focused secondary electrons (Figs. 5, 9, 16). Electron focusing in the TOFA, and from the top to the bottom MCP, is critical because the sharpness of elevation passbands depends on preventing electrons emitted by one foil from crossing over onto the adjacent image. Three-dimensional focusing is achieved by carefully shaping the back of the foil holders and by a cylindrical electrode held at −13.8 kV (Fig. 14). Figure 15 shows numerical simulations of electron trajectories leaving the foils and travelling through the flight region to the top MCP.
The bottom MCP is mounted 16.6 mm below the top MCP. The electric field between the two is designed to accelerate and tightly focus electrons on to the bottom MCP. The combined MCPs have a gain of ∼107 at nominal operating voltages of ∼800 V across each plate. Separating the two MCPs in this way solves the problem of decoupling the signal from the top MCP at −13.6 kV to the low-voltage signal electronics associated with the bottom MCP without using large capacitors (Young et al. 2004, 2007). Prior to installation the MCPs are burned in with a UV source until ∼0.1 C of charge is extracted and the gain is stable with respect to the amount of charge extracted.
The cable carrying −15 kV from the HV supply to the TOFA is routed via a 30 kV-rated HV capacitor and HV distribution network located in a small volume inside the TOFA housing (Fig. 14). This area was particularly susceptible to HV breakdown so considerable effort was put into designing the network and surrounding region using field-tracing software as well as a large amount of testing in the flight configuration.
High voltage and signal cables pass through a sealed bulkhead separating the electronics compartment from the sensor. The bulkhead is designed to prevent sensor contamination by outgassing of the electronics. Chemical cleanliness is further ensured by a purge tube that runs along the exterior of the instrument (Fig. 6) and into the sensor at the location of the TOF analyzer. The purge rate is 0.5 to 1.0 liters/minute of high purity N 2 with the red-tag cover on and 1.0 to 2.0 liters/minute with it off. Purge continues until liftoff.
Schematic diagram of the delay line anodes and TOF electronics
Photographs of the top (left) and bottom (right) of the anode board. The top side contains the charge-collection anode pads while the bottom contains pre-amps and delay line components
Charge arriving on the start anode splits into two pulses (Start_1 and Start_2) travelling in opposite directions around the start delay line. (Note that we use the convention that an underscore such as ‘Start_1’ indicates a signal. Those without an underscore such as ‘Delay 1’ indicate a circuit component.) The pulses arrive at two amplifiers separated by a time interval proportional to the position of the incident charge on the anode and thus to the ion’s elevation angle. Inductive and capacitive components that couple the delay line elements code for elevation with a resolution of 32 positions although only 16 are reported in telemetry.
Similarly, the charge cloud hitting the stop anode splits into Stop_1 and Stop_2 pulses that travel along the radial delay line made up of concentric electrodes (Fig. 18) that code for 16 radial positions of which 8 are reported. Time separation of the two signals encodes the ion’s radial position. In addition to position information, the average difference between Start and Stop signals gives the ion TOF from which mass is calculated. In what follows we describe in detail the position and TOF measurements.
Schematic of ion trajectories between the carbon foils and the MCP and anodes
In considering the TOFA design it was important to bound ion flight times since they set requirements on both analyzer geometry and on high-speed TOF electronics. The fastest ion passing through the TOFA is H+ travelling at maximum velocity (corresponding to E 0=40 keV) along the shortest path H (for the purposes of initial estimation H≈2.5 cm). Neglecting the small amount of energy lost in the foil, the shortest H+ flight time is 7.7 ns which leads to an acceptable lower limit of 5.0 ns.
The slowest ion through the flight region is O+ at E 0∼1 eV incident on the ESA. Here another operational constraint comes into play. In case there are problems operating at the highest acceleration voltage of −15 kV we want the TOF to be able to function at voltages as low as V acc=−12 kV. At that voltage we would have degraded but acceptable mass resolution. At −12 kV O+ would lose about 5 keV in the foil (Allegrini et al. 2006) so that E ∗≈7 keV. Then T max≈138 ns giving L max≈4.0 cm. It is relatively easy for the TOFA electronics to measure longer times-of-flight so the upper bound was set at 256 ns. This leads to a maximum allowable upper limit on path length across the TOFA of 7.4 cm. In summary, ion times-of-flight between 5 and 256 ns provide acceptable timing limits for the electronics and dimensions for the optical geometry (viz., 2.5 to 7.4 cm from foils to MCP).
One important point about plasma mass spectrometers flown in the Earth’s magnetosphere is that attaining high mass resolution per se is not important. Since the target ion species are well known (H+, He++, He+, and O+) only enough resolution is needed to identify these ions. This simplifies the mass spectrometer design and reduces resources significantly compared to a high resolution device designed solely for mass spectrometry.
There is no practical means of reducing the contribution of energy spread to peak broadening. However it is possible to correct for some of the path length differences if the ion position on the MCP is known. Knowing the radial position allows a corrected path length to be calculated. However for this to work the position of each ion must be determined individually and “on the fly” as each event occurs—statistical measurements, which are much easier to make, will not suffice.
6.2.2 TOF Measurement and Position Encoding
With reference to Fig. 17 (Paschalidis et al. 2010), electrons leaving the foils following ion impact produce two signals (Start_1 and Start_2). Some nanoseconds later ions strike the MCP producing Stop_1 and Stop_2 signals. These are delayed 23 ns and 36 ns (Delay 1 and Delay 2 in Fig. 17) respectively in order to ensure that no timing ambiguities arise between starts and stops. Start and stop signals pass through constant fraction discriminators (CFD) to the three ASICS (CFD thresholds can be adjusted in flight). The TOF1 and TOF2 ASICS (Paschalidis et al. 2002) then measure the delays between opposite ends of the start and stop delay lines and pass this information to the FPGA (Fig. 17).
Ion TOF and position calculations then proceed as follows. The uncorrected TOF is measured by the TOF1 and TOF2 ASICs using the delay T 1 between the time a start pulse reaches the Start_1 end of the anode, and the time the corresponding stop pulse reaches the center of the stop anode (Stop_1) plus Delay_1 (Fig. 17). Similarly T 2 corresponds to the delay between the time the start pulse reaches the Start_2 end of the anode, and the time the stop pulse reaches the outer ring of the stop anode (Stop_2) plus Delay_2.
TOF spectrum for four ion species and background (\(\mathrm{H}_{2}^{+}\) is a substitute for He++ and N+ is a substitute for O+). Red areas demarcate bins that define ion species and background. The peak at ∼200 ns corresponds to \(\mathrm{N}_{2}^{+}\)
Normalized TOF spectra from the prototype HPCA. Data were taken using eight discrete annular rings to detect stop events rather than the delay line technique incorporated in the Flight Models
At this point in the data flow ions have been binned according to TOF (512 channels) and elevation (16 angles). Additional counters record the number of raw start and stop events and the number of valid coincident events processed by the FPGA. Start and stop counters have dead times of <250 ns, which allows them to be used to correct for the slower 2 μs dead time associated with coincident TOF signal processing. Processed events are then transmitted to the C&DH system once each spectrum (625 ms). The next steps in data processing take place in the C&DH system discussed in Sect. 8.2.
6.3 Optimization of the Combined ESA/TOFA Optics
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ESA radius, gap between toroidal shells, and bending angle
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High voltage gap between the ESA exit and TOFA entrance
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Ion path length from the foils to the MCP
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Radius of commercially available MCPs
6.4 Dynamic Range
6.4.1 Introduction
As discussed earlier, intense proton fluxes can potentially produce counting rates as high as 20 MHz at the nominal peak of the energy distribution (Fig. 2). This creates two problems related to dynamic range. The first is potential current saturation of the MCP resulting in reduced gain and lost signal. The second is the potential inability of the TOF processing electronics to keep up with high rates corresponding to coincident rate dead times ∼100 ns. At such high rates uncorrelated (“accidental”) start and stop events can tie up the processing capability of TOF electronics, resulting in high rates of cross-talk between adjacent TOF channels. In particular the high proton signal will completely drown out minor species such as He++ and O+.
One solution might be to place two different sized apertures at locations around the entrance: Large apertures for low fluxes and small apertures (e.g. ∼1 % of the large) for intense fluxes. However the large apertures would still transmit the same flux per unit area to the detector, causing local saturation, while the smaller apertures would reduce the sensitivity of half (or more) of the instrument, making minor species detection more difficult.
The ideal solution is to reduce proton fluxes to manageable levels while maintaining minor species fluxes close to ambient levels. This approach requires placing what is, in effect, a low-resolution mass spectrometer in front of the primary TOF mass spectrometer in order to separate protons from minor species (He++, He+ and O+). Such an arrangement could attenuate intense proton fluxes while transmitting heavier species. Burch et al. (2005) have developed what is essentially a low-resolution mass filter using a radiofrequency (RF) technique similar to the principle behind quadrupole mass spectrometers.
To get some idea of the requirements for the RF system, assume that the maximum total proton flux reaching the MCP is 2×107 ions/s. If each ion produces on average 2 electrons from a foil then the number of particles striking the MCP is ∼6×107 s−1 (including the incoming ion). In order to have optimal signal amplitudes for the TOF electronics the HPCA MCP is operated at a gain of ∼107. At this rate and gain the signal current exiting the bottom MCP is ∼(6×107 particles/s ×107 electrons/particle) ×1.6×10−19 C/particle ∼10−4 C/s=100 μA. In order to have a linear output, the MCP signal current should be limited to <10 % of strip current (MCP bias voltage divided by resistance). This amounts to an MCP resistance of ∼10 MΩ for the bottom MCP which is what led us to choose the Hammamatsu Type 1942-04 MCP whose resistance can be specified. For HPCA we chose ∼70 MΩ for the top MCP and 12 MΩ for the bottom.
A second issue is current density on the MCP. The tight focusing of electrons (about 0.25 cm2 per pixel in Fig. 16) can lead to current densities ∼100 μA/cm2 which the selected MCP is able to support over a few pixels. A third problem area is the TOF electronics processing rate. We are using the best available custom ASICs, designed and built by APL (Paschalidis et al. 2002). The dead time for processing valid TOF and position location events is ∼2 μs which puts a practical limit of ∼0.5 MHz for accurate measurement.
In summary, based on considerations of MCP current saturation and TOF processing speed the RF system needs to reduce proton fluxes by at least a factor of ten.
6.4.2 Attenuation Using Radio Frequency Selection
H+ and O+ trajectories responding to an RF electric field between two conducting parallel plates located at y=±1.0 and parallel to the x-axis. Trajectories are identified by the phase angles at which ions enter the RF field
In the HPCA, as in all ESAs, a DC voltage corresponding to the desired energy is applied to the inner dome (see Eq. (15)). A sinusoidal RF voltage of selectable amplitude and frequency is added to the DC voltage and applied to the lower part of the ESA (Fig. 5). Protons entering with a given energy move through the ESA in a length of time corresponding to about one-half an RF oscillation period. The protons experience a slowly varying field that deflects them to the side of the ESA. The number deflected, and hence the amount of attenuation, depends on the choice of RF amplitude and frequency.
Heavier ions such as O+ with the same energy as protons travel more slowly through the ESA, encountering multiple oscillations of the electric field which modify the trajectory slightly but tend to cancel out (Fig. 22), allowing ions to travel through the ESA with minimum deflection. In the ray-trace simulation shown in Fig. 5, H+ and O+ ions enter the ESA with the same energy. Protons (black trajectories) immediately hit the lower part of the ESA to which RF + DC voltage is applied. Oxygen ions (red trajectories) are transmitted without appreciable losses. Intermediate mass ions (He++ and He+) are partially attenuated.
The highest proton fluxes found in the magnetosheath extend from approximately 0.5 to 4 keV (Fig. 2). Therefore RF attenuation is designed to operate over this range. Although the choice of frequencies is limited to 16 fixed steps, the amplitude can be set precisely by a 12-bit digital-to-analog converter (DAC). While the ESA uses 63 steps to cover the energy range 1 eV to 40 keV, the RF is applied to only 14 of those steps covering 0.5 keV to 4.0 keV.
Attenuation response of five ion species incident on the prototype ESA at 1.0 keV. Attenuation steps are arbitrary combinations of frequency and amplitude chosen to demonstrate attenuation for a range of mass/charge from 1 to 28
RF peak-to-peak voltage and frequency
| ESA Step No. | DC Voltage (V) | Ion Energy (eV) | RF Frequency (MHz) | RF Amplitude (Vpp) |
|---|---|---|---|---|
| 36 | −94.7 | 515.9 | 5.1 | 127 |
| 37 | −111.7 | 608.5 | 5.1 | 127 |
| 38 | −131.7 | 717.8 | 5.1 | 127 |
| 39 | −155.4 | 846.7 | 5.1 | 127 |
| 40 | −183.3 | 998.8 | 5.2 | 131 |
| 41 | −216.2 | 1178.2 | 5.4 | 135 |
| 42 | −255.0 | 1389.8 | 5.5 | 152 |
| 43 | −300.8 | 1639.3 | 5.8 | 177 |
| 44 | −354.8 | 1933.7 | 5.9 | 245 |
| 45 | −418.5 | 2281.0 | 6.1 | 294 |
| 46 | −493.7 | 2690.6 | 6.1 | 377 |
| 47 | −582.3 | 3173.8 | 6.1 | 377 |
| 48 | −686.9 | 3743.7 | 6.1 | 377 |
| 49 | −810.3 | 4416.0 | 6.1 | 377 |
Figure 23 demonstrates proton attenuation by factors up to ∼330. The data also indicate that at these settings solar wind He++, for which \(\mathrm{H}_{2}^{+}\) is a stand-in, is attenuated by a factor of 10 or less at ∼1 keV. The peak of the He++ distribution is roughly four times higher where attenuation will be considerably reduced. In any case the loss in counting rate of He++ is compensated by an improvement in signal-to-noise ratio (SNR). Finally, as expected from theory and ray-tracing, heavy ions such as N+ (a stand-in for O+) and \(\mathrm{N}_{2}^{+}\) are transmitted without any attenuation.
Azimuth-energy passband at 0.995 keV without (a) and with (b) RF applied. Passbands at 3.159 keV without (c) and with (d) RF. The RF settings at 0.995 keV are 5.1 MHz and 225 Vpp. For 3.159 keV they are 6.1 MHz and 400 Vpp. The normalized scale for transmitted flux is on the right
6.4.3 High Counting Rate Capability
The RF system will be operated continuously in Fast Survey mode over the pre-selected parts of the orbit where reconnection is judged likely to occur (see Sect. 8.1.2 for a full discussion of HPCA modes). On other parts of the orbit HPCA will be operated in Slow Survey mode. In this operational scenario there are three ways in which proton fluxes might exceed the planned maximum rates. The first is where the flux maximum is above model rates in Fig. 2. The second is when reconnection occurs outside the pre-planned regions—during a strong magnetic storm, for example, when the magnetosphere collapses and the instrument is not in an RF mode. The third is when large fluxes are encountered in Slow Survey mode. Although RF is by far the best way to increase dynamic range in planned scenarios, it is also important to have some back-up capability to detect and process events at as high rates as possible.
Start_1, Stop_1, TOF1 and TOF3 counting rates plotted over a linear range vs. Faraday cup current in pA
Full range of Start_1, Stop_1, TOF1 and TOF3 counting rates plotted with the same dead times as in Fig. 25
7 Electronics
7.1 Electronics Housing
The electronics housing (Figs. 3 and 4) holds six printed circuit boards (PCBs) arranged parallel to the spacecraft deck to provide the best thermal pathway for dissipating heat to the spacecraft and surroundings. Conventional circuits such as HV, low voltage, and digital processing communicate through connections to the main backplane. In order to isolate RF pickup in the digital and low-level signal circuits, the RF LVPS and RF generator boards are located in a separate shielded compartment with its own shielded backplane.
The structure of the electronics housing carries the mechanical load of the cantilevered sensor and provides all mechanical and thermal interfaces to the spacecraft deck (Fig. 4). This design simplifies mounting but requires a very rigid structure to support the sensor compartment. To that end, the housing is machined out of a single block of aluminum with removable walls on top (for HV access) and at the rear (for PCB mounting and removal). During vacuum testing there is relatively little time for the unit to outgas completely so a high-throughput ventilated cover is substituted for the normal solid top wall.
Typical wall thickness of the aluminum housing is 3.8 mm primarily for radiation shielding. Ray tracing of penetrating radiation showed that the estimated worst case dose is 15.6 krads aluminum equivalent (including a factor of two margin) at the upper MCP. The MCP is not susceptible to radiation damage nor will the radiation cause enough background to be of concern. The 15.6 krad dose easily meets the MMS radiation requirements of 30 krad with a factor of two margin. Active electronic components in particular receive estimated doses of only 6.9 krads or less, again including a factor of two margin.
7.2 Electrical System
Block diagram of the electrical system. Gray areas represent individual printed circuit boards or optical subsystems
7.2.1 Command and Data Handling
Block diagram of the C&DH board showing interfaces to the other subsystems
Schematic of data products produced during Fast Survey mode. In Burst mode the data rate is 180 kbits/s
7.2.2 Time-of-Flight
Much of the TOFA functionality was discussed in Sect. 6.2.2. This section presents details about implementation of the electronics (refer to the block diagram in Fig. 17).
Twenty-four discrete amplifiers and discriminators would have been needed for conventional position encoding methods, which would run up against both volume and power limitations. Our delay line solution discussed earlier requires only 4 low-power amplifiers and discriminators. The former are mounted on the anode board while the latter are located in the TOF ASICs (Figures 17 and 18).
Aliveness and functionality tests of the TOF board are carried out with four built-in pulsers capable of stimulating the anodes and signal chain at rates between 24 kHz and 6 MHz. Pulse amplitudes can be varied as can delays between pulses at intervals of 40 ns to produce an artificial TOF spectrum. Stimulation of all start and stop positions constitutes a complete test of the integrated TOF system.
In addition to science data in the form of ion TOF and elevation and radial positions, the TOF FPGA transmits the number of single events (Start_1, Start_2, Stop_1, Stop_2), valid events for each of the three TOF chips, and the number of times the FPGA state machine was initiated. “Ground truth” data used to check TOF processing is provided by recording the last 1024 valid “direct events” per sample. Direct-event data consist of TOF1, TOF2 and TOF3 values for individual events. These can be checked against the processed position and TOF measurements.
7.2.3 Power System
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PCB 1: dual-range ESA HV stepping supply; TOF, MCP1 and MCP2 HV supplies
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PCB 2: DC low voltage power supply
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PCB 3: RF low voltage power supply
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PCB 4: RF generator
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PCB 5: RF network (located inside the ESA structure)
Schematic of the HPCA power system
Low Voltage Power Supply (LVPS)
Power lines from the CIDP provide the LVPS with nominal +31 VDC (volts DC) via two redundant lines. The LVPS then converts primary power into eleven secondary voltages needed by the various subsystems (counting ± VDC as two voltages). The primary power is isolated from secondary power through a transformer.
The LVPS is comprised of voltage converters 1 and 2. Converter 1 is a fly-back topology operating at a 200 kHz switching frequency. It produces two sets of ±12 VDC outputs (one each for the HVPS and C&DH boards) and a programmable voltage from 0 to −50 VDC (for the Anode Grid). Converter 2, also a fly-back topology, produces two +3.3 VDC outputs (for the C&DH and TOF boards), and two +5 VDC outputs (for the TOF and FEE boards). Four other voltages are generated for low dropout regulators from the various low voltage supplies. The switch-mode converters used in the LVPS are synchronized to other converters in the electronics compartment. The overall LVPS efficiency is approximately 66 % due to the use of linear regulators and production of many relatively low voltages.
High Voltage Power Supplies (HVPS)
Summary of HVPS performance
| Supply | Output Voltage | Control (Bits) | Peak Output Current | Accuracy (Full Scale) | Full Scale Pk. to Pk. Ripple | |
|---|---|---|---|---|---|---|
| ESA | Low | −0.21 V to −70.28 V | 12 | 2 mA | ±0.003 % | 0.01 % |
| High | −70.28 V to −7000 V | ±0.001 % | ||||
| TOFA Top | −15.0 kV | 12 | −45 μA | ±0.01 % | 0.00 % | |
| TOFA Bottom | −12.75 kV tap from −15 kV supply | None–scales with TOFA −15 KV | −45 μA | ±0.01 % | 0.00 % | |
| Bottom MCP | −1.8 kV | 12 | −225 μA | ±0.01 % | 0.00 % | |
The HV supplies share several important features. The first is a provision for operating in a divide-by-ten (V/10) mode in which all high voltages are limited to 10 % of their nominal values. The V/10 mode allows supplies to be safely commanded and operated at atmospheric pressure during bench tests and final checkout on the spacecraft. A second provision is HV enable/disable functionality controlled by the C&DH. This promotes instrument safety by forcing the operator to make a conscious decision to bring up high voltage. All of the supplies are controlled by 12-bit DACs. The supplies themselves output 0.0 V to −4.5 V to analog monitors that are digitized and reported in telemetry once per 625 ms sample. In particular this feature is used to monitor the ESA stepping voltage at each point in the scan in order to verify that ion energy is being measured accurately.
The ESA HV supply is a two-part system comprised of driver and voltage multiplier sections together with a stepping control section. In order to achieve the precision required for the ESA the supply is dual range. The low range covers −0.21 V to −70.28 V while the high range covers −70.28 V to −6936 V. In any given scan mode switching from one range to the next is seamless. The accuracy of ESA voltages is ±0.001 % of the top step value. This translates into the same accuracy in ion energy measurements. The ESA nominally covers the 1 eV to 40 keV energy range using 63 log-spaced steps (Sect. 6.1.2) plus a 64th step that gives the supply time to fly back from the highest to lowest voltage. In order to keep an even cadence of 64 steps per 625 ms, the supply switches voltages from step to step in settling times that vary from 0.500 ms to 19.770 ms depending on the size of the step.
High voltage to the TOFA optics is provided by a programmable supply controlled by a 12-bit DAC. The primary output voltage is −15.0 kV. In addition −12.75 kV is provided by a tap on the multiplier string (Fig. 14) to establish the electric field needed for electron focusing and to provide the correct bias voltage to the upper MCP.
RF Low Voltage Supply and RF Generator
The RF LVPS receives power via separate redundant +31 VDC lines from the CIDP (Fig. 30). Having separate LV power for the RF system isolates it from the rest of the instrument and spacecraft electronics. Further isolation is provided by partitioning the two RF boards from the rest of the electronics enclosure and introducing a separate communications backplane.
An important feature of the RF generator is a load-averaging supply that outputs nominal +80 V DC to feed the variable voltage supply needed by the RF Generator. The load-averaging supply has large storage capacitance that can deliver the significant amount of power needed during the RF duty cycle. The latter covers 22 % of the normal ESA sweep period corresponding to the 14 RF energy steps in Table 4.
The RF generator is a high-power RF oscillator whose resonant frequency is controlled by the series resonance of an inductance formed by a ferrite core toroidal transformer and a selectable capacitance. The capacitance consists of a static parasitic component made up primarily of the ESA domes and power cables plus an additional four capacitors that are switched to select the RF oscillation frequency. The capacitors are scaled in a pseudo-binary fashion to yield 16 different frequencies between 5.5 and 9.9 MHz (Table 4). The transformer provides the highest frequency when no capacitors are switched in. Adding capacitors lowers the frequency but increases power dissipation due to the increase in RF current. However the supply is designed such that the extra capacitors needed for the lowest frequencies are used in lower peak-to-peak voltage range, thus minimizing the amount of power dissipated by the RF supply to an average ∼4.3 W.
The RF output voltage is carried by a low-capacitance cable to the RF distribution network located inside the ESA inner shell (Figs. 14 and 30). This network couples the ESA DC stepping voltage to the upper inner dome while also coupling the RF voltage to the DC voltage going to the lower inner dome (Fig. 5). There is less than 1 % parasitic coupling of RF voltage from the lower to the upper inner dome so incoming ion trajectories are not disturbed by the RF field nor, in combination with the collimator grid, does RF escape the instrument.
An important feature of the RF design is a structural geometry that effectively forms a Faraday shield to protect the signal electronics from RF pickup. The RF is hundreds to thousands of times larger than the analog detector signals which would otherwise be overwhelmed. The shield is made up of the grounded MCP housing and a capacitively bypassed grid placed between the lower MCP and the anode. During tests with the RF system operating no pickup was detected by the HPCA’s very sensitive low-level signal electronics. Moreover the HPCA passed all environmental tests and met all of the very stringent mission electromagnetic interference requirements.
8 Operation
8.1 Instrument Operation
8.1.1 Sample Timing
Data sampling is designed to obtain even coverage of the entire sky (4π sr) in 10 s. Timing, pixel resolution and coverage were discussed in Sect. 4 and summarized in Table 2. Those considerations also determine the rate at which full resolution data are generated [16 (azimuthal) × 16 (elevation) × 64 (energy) × 5 (ion species + background) = 81,920 data words per 10 s]. In fact the actual internal data rates, which include transfer of three sets of TOF spectra binned into 512 samples every 625 ms, are over a thousand times faster.
Acquisition of azimuthal samples is not synced to the spacecraft rotation period. HPCA stepping is allowed to free-run and, since the spacecraft spin rate varies little from 3 rpm, there is little effect on velocity distribution sampling. The slight shift in look directions caused by variation in spacecraft spin rate can be removed easily during data analysis.
Each voltage (or equivalently energy) step involves a number of actions by the C&DH FPGA which (1) sets ESA and RF power supply voltage levels and RF frequency based on pre-programmed tables, (2) waits for ESA voltages to settle, and (3) directs the TOFA electronics to collect TOF and singles data for each step. At each step TOF data from the previous step are sent from the TOFA FPGA to the C&DH FPGA. During Step 0 the ESA HV slews from high to low voltage and any data generated during that step is not saved.
TOF boundaries as a function of energy for four ion species plus background
8.1.2 Operational Modes
High level block diagram of the HPCA FSW system illustrating its relation to the CIDP, the Mission Operation Center (MOC), the Science Operations Center (SOC) and the HPCA ground system
When power is first applied, the HPCA goes into a “Boot” state using software stored in PROM. If the instrument passes software self-tests then it proceeds into a “Safe” state running under science mode software stored in EEPROM. At this point the instrument can be commanded out of Safe mode and into a mode in which high voltages can be enabled. With high voltage enabled and applied, if a self-protect mode is triggered by an incident such as excessively high counting rates, or a watchdog reset event occurs (e.g., no command arrives from the CIDP for 30 s), then the instrument will immediately return to Safe State and protect itself by setting all HV supplies to zero volts in a few seconds. It then reverts to the Boot State to await further instructions.
The instrument can only enter the HV-enabled state by telecommand. From this point on the HPCA is fully functional and ESA, TOFA, MCP and RF supplies can be operated using a selection of tables stored in memory. The TOFA and C&DH subsystems are also operational and science and housekeeping data can be collected, formatted and transmitted. The source of low voltage power to the RF supply is controlled separately by the CIDP. HPCA cannot command on the RF LVPS power directly, but does control the LVPS output levels once the CIDP switch is on.
Science modes are defined by setting the range of ESA voltages to be scanned and the science data products to be returned. The voltage scans are table-driven and just about any combination of voltages (i.e., ion energies) can be selected. For example, instead of using the standard 63 log-spaced stepping intervals, linear scans or scans in which only every other log-spaced step is scanned are all possible subject only to limitations imposed by the ESA power supply slew rates.
On orbit HPCA collects and transmits data according to spacecraft position in the orbit and the modes agreed to by the MMS science team. As discussed in Sect. 7.2.1, the HPCA generates three distinct data sets: Slow Survey, Fast Survey, and Burst. Slow Survey data are highly compressed, Fast Survey Data are much less compressed, and Burst Data are minimally compressed. Survey data products are automatically transmitted to the ground. Burst data (only collected during Fast Survey mode) are stored in the CIDP.
Science downlink data rate allocations
| Mode | % of Time Operated | % of HPCA Data Transmitted | Data Allocation Rate | Daily Allocation |
|---|---|---|---|---|
| Slow Survey | ∼50 % | 7.4 % | 0.8 kbit/s | ∼34 Mbit |
| Fast Survey | ∼50 % | 51.3 % | 5.6 kbit/s | 236 Mbit |
| Fast Survey (Burst) | 1.25 % | 41.3 % | 180 kbit/s | ∼190 Mbit |
| TOTAL | 100 % | 100 % | N/A | ∼460 Mbit |
Demonstration of the MCP protection feedback loop using the EPIC ion beam. Data were taken with FM1 over a period of approximately 33 minutes. The beam current limit was set by telecommand as were the automatic delays
There are several other operational modes designed for specific events that do not involve science, including calibration and maneuver modes. The standard calibration mode generally operates following spacecraft exit from the Fast Survey portion of the orbit in coordination with other particle instruments such as DIS.
8.2 On-Board Data Processing
The TOF measurement process was described in Sect. 6.2.2 and sample timing in Sect. 8.1.1. This section discusses data processing from the operational point of view including what happens once data reaches the C&DH system.
Fast Survey mode is the worst-case data volume and processing load that the system must handle to generate both Fast Survey and Burst data products. Figure 29 represents the raw data products contained in each sample taken during a single energy step. Slow Survey data products are a subset of the Fast Survey products.
The command sequence needed to enter Fast Survey is received by the C&DH from the CIDP and passed to the SPARC-8 processor via the FPGA registers (Fig. 28). The flight software reads and executes the commands, performs any final FPGA and software configuration activities, and then switches to Fast Survey mode. Before data acquisition begins the FPGA transmits the necessary configuration settings to the TOF subsystem based on configuration settings stored in EEPROM. Because only infrequent changes are anticipated to most of the configuration settings, the normal way to adjust instrument behavior will be to upload new configuration tables. New table values will be applied the next time science operations are initiated.
Science data processing is divided into three distinct parts (Fig. 28). Part 1 is the high-speed pipeline which controls TOF data collection, reads raw data from the TOF board into the FPGA, performs primary data decimation in the FPGA, reads the partially decimated data into the SPARC-8 memory, and performs secondary decimation in FSW. The handoff of the data between the FPGA and the FSW uses the science data acquisition ping/pong memory. Operations are synchronized such that the FPGA is writing into one-half of the memory while the SPARC-8 is reading from the other half.
Part 2 consists of a sequence of operations performed on each data product as it becomes available (rather than holding data in the pipeline) and generates each science data message sent to the CIDP. The rate at which these data are processed is determined by decimation factors set by ground command. At the highest rate, Part 2 processing may occur more frequently than once per azimuthal sample (625 ms). Once a set of decimated data is available to the software (based on currently selected decimation factors), the Part 1 pipeline is directed to a second data buffer in the SPARC-8 memory, and data in the first memory are then processed (Part 2 processing). This second step consists of performing lossy compression and recomposing the data for subsequent operations. The next stage is lossless compression, which ends with the data ready for inclusion in a CCSDS packet together with housekeeping information and check sums. In Part 3 of the process the completed packet is handed back to the FPGA for transmission to the CIDP.
8.3 On-Board Data Decimation and Compression
Depending on the desired telemetry rate, data are decimated by co-adding over the appropriate parameters such as elevation, azimuth and energy bins. The extent of decimation is set by parameters that determine the number of elements of each parameter to be summed. For example adjacent elevation channels may be summed together two, four, or eight at a time. Likewise adjacent energy steps or azimuthal sectors may be summed together any number of times so long as the number is binary. The summations of course degrade velocity space pixel resolution but still permit equally spaced samples and comparable smearing of all three velocity distribution elements.
The decimation process is distributed between the FPGA and the flight software running in the SPARC-8. Since the TOF and elevation spectra arrive every sample they are summed in the FPGA. Energy and azimuth sampling is much slower so the arrays can be summed in the SPARC-8 by the flight software.
Following decimation, data products are organized into packets that are compressed by a factor of two by the FSW. Two compression methods are used. First, the (decimated) number of counts in the TOF histogram is summed over the counts corresponding to the four ion species and background. These and the logical data products are reduced from 32 to 16 bits using a lossy logarithmic compression technique.
After lossy compression, lossless (Rice method) compression is applied to the data. Some small products (e.g., trigger data) are not compressed. Compressed data are combined with non-compressible data (such as time stamps) and formed into CCSDS telemetry packets ready for transmission to the CIDP (Fig. 28). The C&DH FSW interleaves the science telemetry packets with housekeeping, heartbeat, trigger data, and other packets generated by the FSW such that whole messages are transmitted to the CIDP.
One last data stream to be discussed is used only during ground activities when the instrument is connected to the Electrical Ground Support Equipment (EGSE; see Sect. 9.1), primarily during calibration. The stream is very high rate (∼27 Mbit/s) and is transmitted directly from the C&DH to the EGSE. The stream does not go through the much slower CIDP connection and hence is available only during ground test. Its purpose is to extract every piece of data generated by the HPCA at full resolution in order to diagnose and calibrate performance in full detail.
With high-speed data it is possible to calibrate the instrument and to check all functionality. In parallel the normal Fast Survey stream including burst data is also generated and collected. Subsequent analysis and verification can then be carried out by comparing the all-inclusive high-speed data with compressed science data sent via the CIDP simulator included in the EGSE.
8.4 Ground Operations
8.4.1 Commanding
Schematic of the HPCA ground system showing the production and exchange between the SOC and SwRI of Level 0 through Level 3 data
8.4.2 Data Processing
Figure 34 shows more detail of the ground system and operations. Raw (Level 0) science data arrive at the MMS SOC from NASA ground stations and are streamed from there to SwRI within 30 minutes of receipt. Within another 30 minutes these data are processed automatically by HPCA ground system software into a form that provides the scientists located at the SOC with Level 1B′ data suitable for quick perusal that allows choice of the burst periods to be down-linked on the next spacecraft pass. More complete, but still uncalibrated “quick-look” data (Level 1B), are delivered by SwRI to the SOC within 23 hours of the first receipt of data. Intermediate products, termed Level 1A, are used to produce higher order data products but are not themselves delivered outside SwRI. All Level 1 data are produced with a cadence of 10 s.
Calibration factors are applied to Level 1B data to generate Level 2 products that consist of physical parameters such as velocity distribution functions and moments such as density, flow velocity and temperature for all four ion species. These are provided on the highest available time resolution: 10 s for 3-dimensional parameters such as velocity and 625 ms for 2-D snapshots of elevation, energy, and mass. The final step in data production is Level 3 where the in situ magnetic field and similar auxiliary data are used to derive parameters such as pitch angle distributions, plasma beta, and the Alfven velocity. Additional products such as synthesized energy spectra can be obtained by combining HPCA data (at energies <40 keV) with Energetic Particle Detector (EPD) data above that energy. Both Level 2 and 3 data sets will be delivered to the SOC within 30 days.
The bottom of Fig. 34 indicates that additional calibration data may be taken with the HPCA Engineering Qualification Model (EQM), which has been reworked to be as nearly identical to the flight models as possible—particularly in the critical area of the RF generator, the anodes, and the TOF electronics. The reason for upgrading the EQM to flight performance levels is that it could well be required in case unusual phenomena are encountered outside the anticipated normal range of performance. One example would be unusually high and rapidly varying ion fluxes that exceed dynamic range capabilities.
9 Calibration System
9.1 Introduction
Schematic diagram of the EPIC calibration system. Red arrows linking the optical elements within the Ion Gun Vacuum Chamber indicate the path of the ion beam. All other arrows indicate electrical connections or data flow
An important component of the calibration system is the HPCA’s Electrical Ground Support Equipment (EGSE), which acts as a power source, control system, and data collection and processing system. Although it supports ordinary engineering tests, once the EGSE is synchronized with the EPIC facility electronics the two coordinate facility functions with HPCA operations. For example, once the calibration system positions HPCA in the correct orientation with respect to the incoming ion beam, the pre-selected instrument measurement cycle commences automatically. After data are taken they are transferred to a central display and archival computer along with ancillary calibration data. Then the next run is set up and the procedure continues until a measurement cycle (e.g. an energy-angle scan) is completed.
-
Center and resolution of azimuthal response,
-
Center and resolution of elevation response,
-
Center and resolution of energy response,
-
Center and resolution of TOF peaks,
-
Association of TOF with ion M/q and species,
-
Pixel and total sensitivity as a function of energy and ion species.
9.2 Ion Source and Beam
The calibration system is divided into five main components (Fig. 35): (1) an ion source and associated beam formation optics mounted in an isolated HV enclosure, (2) a motion system that positions and rotates the instrument across the ion beam, (3) a beam Calibration Reference Unit (CRU) mounted on the same platform as the HPCA, (4) an ultra-high vacuum (UHV) chamber and pumps, and (5) a control and data acquisition computer system synced to the HPCA EGSE.
Graphic depicting the EPIC ion source and ion beam system
Photograph of the ion source, beam line, and UHV calibration chamber
Once the ion source and beam line are mounted on the optical bench (Fig. 36), the bench is turned upside down and bolted on top of the box-like beam high-vacuum chamber running from lower left to upper right in the photograph (Fig. 37). This gives easy access to the beam line for changing source filaments.
-
Electron bombardment ion source and a series of focusing and accelerating lenses that form the initial beam (source lenses are not shown).
-
A series of three quadrupole lenses (Q1 through Q3) that shape and rotate the beam prior to the E×B Wien filter.
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X- and Y-focusing plates (not shown) that align the beam with the E×B filter.
-
Aperture lenses BC1, B, and BC2 that match the beam cross-section to the shape of the E×B filter aperture.
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An E×B Wien velocity filter that uses an electromagnet to select ion species. A set of E-field correction shims within the Wien filter help reduce aberrations that tend to defocus the beam.
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A second set of quadrupole lenses Q4 through Q6 that reshape the beam for the final element.
-
Point-to-parallel beam expansion optics (EXPN) that center and shape the beam to match the HPCA aperture.
Schematic of ion trajectories travelling through the ion beam system. Upper trajectories are travelling in the vertical plane; lower trajectories are in the horizontal plane
Ion beam current measured over a period of 3 hours using the EPIC Faraday cup. During this period the ion source was under the control of a feedback loop from the CEM monitor (Fig. 36) to the source controller
Mass spectrum taken by scanning the magnet in the E×B velocity filter
Beam parameters are set by voltages and currents controlled and monitored by a dedicated computer. Once they are set up manually, voltage and current settings needed to reproduce an ion beam with specific energy, ion species, cross-section profile, and intensity can be saved in a beam “snapshot” file. When executed later the snapshot file sets the voltages and currents needed to accurately recreate the same set of beam parameters. By saving snapshots any type of beam can be set up quickly and accurately, saving a considerable amount of time during calibration.
9.3 Motion System
HPCA views a wide range of azimuth and elevation directions. Calibration requires that the corresponding angular passbands and their centers be measured. Since ion beams covering all angles simultaneously do not exist, the highly parallel ion beam produced by EPIC is aimed at the center of the instrument aperture while the HPCA is rotated about azimuth and elevation axes centered on the instrument’s optical axis (Fig. 13).
Block diagram of the EPIC motion system
Photograph of the HPCA mounted on the motion platform about to be moved into the UHV calibration chamber
The motion platform can rotate HPCA ±180° about the Y-axis, equivalent to a complete scan in elevation, and ±12° about the Z-axis, equivalent to a scan across the azimuth FOV (Fig. 41). Both axes have a resolution of better than 0.1°. As the motion platform moves along the Y-axis, the center of rotation moves with it. Thus the apertures of the CRU sensors swing in small arcs when the platform is rotated, requiring corrections to obtain their location.
By convention, counterclockwise rotation about the Z-axis results in positive azimuthal displacement. Similarly, counterclockwise rotation about the Y-axis (the HPCA symmetry axis) results in positive elevation displacement. In this coordinate system, when the rotational center of the motion system coincides with the nominal beam center the position coordinates are (X,Y,Z)=(0,0,0), and angle coordinates are (AZ, EL) = (0°, 0°). Following positioning commands from the central computer the system moves and then settles within a few seconds after which the position is recorded and the HPCA begins to take data.
9.4 Calibration Reference Unit
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A Faraday cup designed to measure beam currents >0.1 pA.
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A high-resolution cylindrical ESA, which measures beam energy and passband width, the location and width of the beam along the Y-axis, the beam’s angle of incidence, and the beam current.
-
A beam imager that measures uniformity and location relative to the X- and Y-axes.
Three-dimensional drawing of the CRU and sensors
Photograph of the CRU looking into the sensor apertures
9.4.1 Faraday Cup
ESA CEM counting rate plotted as a function of the Faraday cup current
ESA CEM counting rates plotted as a function of FC current for 10 ion species selected from the mass spectrum in Fig. 40. Going from left to right the species are not in order of mass/charge but rather are in order of increasing beam current
9.4.2 High Resolution CRU ESA
-
Central energy, energy spread, and energy uniformity
-
Azimuthal angle of incidence and angular spread
-
Position of beam center and cross-section along the Y-axis
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Counting rate across the beam cross-section.
9.4.3 Beam Imager
Image of the ion beam taken with the Beam Imaging Solutions Model 40 (BOS-40). The beam profiles are obtained by summing across the image. Data are normalized to the camera’s intensity resolution of 8 bits
10 HPCA Calibration
10.1 Introduction
This section describes the methods of calibration and related data analysis. Calibration in situ in space in a highly variable environment is virtually impossible although it has been tried. Thus calibration must be performed in a ground laboratory with accurate reference standards. The primary goal of calibration is to relate instrument measurements to those made with an accurately defined ion beam of known energy, composition, angular direction, cross-sectional area and intensity.
Because it is impossible to measure every parameter at highest resolution (e.g., every energy and angle step), calibration must be carried out over a sparsely sampled phase space that is nonetheless dense and regular enough to permit interpolation or extrapolation when necessary. Examples include the entire 63-step energy range where there is not enough time to set up a beam at every step. Moreover beam energy of the EPIC system cannot be extended to the lowest energy range <100 eV. Thus simulations play an important role in filling in the missing data points during analysis.
In addition to beam measurements, calibration has other important goals related to HPCA functionality. Primarily these are to verify that HPCA in fact meets all performance requirements in Table 2 and to verify that HPCA meets all engineering requirements such as power consumption, FSW standards, and creation and transmission of data products. Cross-calibration with other MMS instruments is an important goal but is not addressed here.
10.2 Calibration Process
Calibration consists of measuring HPCA counting rates in the various detector channels (Start, Stop, TOF1, etc.) as a function of instrument state parameters (voltages, discrimination levels, etc.) in response to known ion beam parameters (incidence angle, species, energy, current). The relationship between instrument state and beam parameters defines the set of calibration constants. The objective of calibration is to determine those constants.
Measurement parameters and required calibration system properties
| Measurement | System coverage | Coverage resolution |
|---|---|---|
| Effective aperture area | ∼0.1 to 10 pA/cm2 | N/A |
| Elevation centers | 0°, 22.5°, 45°, …,360° | 2° steps |
| Elevation passband | 22.5° FWFM | 2° steps |
| Azimuthal passband | ±10° FWFM | 1° steps |
| Mass range | 1 to 16 amu | H+, \(\mathrm{H}_{2}^{+}\), He+, O+ |
| Mass resolution | 4 (M/ΔM) FWHM | H+, \(\mathrm{H}_{2}^{+}\), He+, O+ |
| Energy range & steps | 10 eV/q to 40 keV/q | 95, 302, 961, 3059, 9741, 33040 eV |
| Energy resolution | 0.17 (ΔE/E) FWHM | E 0±0.01ΔE/E 0 |
| TOF range | 1 to 250 ns | H+, 40Ar+ |
| MCP gain | >3×106 | Any energy, species, or current |
| RF passbands | 524 to 4259 eV | 496, 814, 1337, 2197, 4259 eV |
| RF transmission species | H+, \(\mathrm{He}_{2}^{+}\), He+, O+ | H+, \(\mathrm{H}_{2}^{+}\), He+, O+ |
| Dead time | ∼10−13 to 10−10 A/cm2 | N/A |
In addition to the primary calibration constants in Table 7 there are a number of auxiliary parameters to be determined as well. These include, for example, MCP gain as a function of bias voltage, and the performance of the amplifiers and discriminators. Checking that starts, stops and valid-events data match the primary TOF measurements also falls into this category. Calibration system auxiliary data to be collected in coordination with HPCA operations include beam energy, beam current, ion source pressure, and Residual Gas Analyzer (RGA) scans to monitor the composition of background gas in the chamber.
In order to speed up calibration (time = schedule = money), only a limited selection of parameter values were measured, each with approximately the same density of points. Snapshot scripts were used for both beam and instrument settings making calibration as nearly identical as possible from one instrument to the next.
The procedure for performing a calibration step was to set up the ion beam in the appropriate configuration and then capture its characteristics using the CRU. If the beam species was changed from one run to the next then the E×B filter was swept to establish composition. Once the beam was set up the HPCA ESA was commanded to perform a micro-energy scan in which the ESA energy passband was covered in a series of 64 micro-steps (∼1 % of the passband width) out to ±20 % of the beam center. By micro-stepping the ESA we obtain a detailed energy passband at every calibration point. This is particularly important when characterizing the HPCA’s azimuth-energy passband. It is also of interest when covering the elevation passband in order to make certain that there is no cross-coupling between elevation and energy.
When a parameter had to be characterized across the entire energy range we used a selection of seven logarithmically equal-spaced energy steps separated by a factor of approximately three (Table 7). However it still was not possible to sample all of the measurement space (e.g., all angles) even at these few energies so a single energy of 3.159 keV was chosen for most angle samples because it is in the central part of the energy range where the −15 kV acceleration potential still has some effect on ion trajectories. (At very low energies ion trajectories into the TOFA are entirely dominated by the electric field created by −15 kV, while at the highest energies the field has little effect on trajectories.)
11 Calibration Results
Summary of calibration results at 3159 eV
| Parameter | Requirement | FM1 | FM2 | FM3 | FM4 |
|---|---|---|---|---|---|
| Total geometric factor [cm2 sr eV/eV] | 3.0×10−3 | 2.3×10−3 | 2.5×10−3 | 3.6×10−3 | 3.6×10−3 |
| Pixel geometric factor [cm2 sr eV/eV] | ∼2×10−4 | 1.5×10−4 | 1.5×10−4 | 2.2×10−4 | 2.3×10−4 |
| Effective aperture [cm2 cts/ion] | ∼4×10−2 | 3.8×10−2 | 4.3×10−2 | 7.2×10−2 | 7.1×10−2 |
| Mass range [amu/q] | 1 to 16 | 1 to 28 | 1 to 28 | 1 to 28 | 1 to 28 |
| Mass resolution [M/ΔM FWHM] | 4 | >4 | >4 | >4 | >4 |
| Energy range [eV] | 10 to 30,000 | 31 to 32,040 | 98 to 32,040 | 98 to 32,040 | 98 to 32,040 |
| Energy resolution [ΔE/E] | ≤0.2 | 0.12±0.01 | 0.10±0.01 | 0.10±0.01 | 0.096±0.2 |
| Analyzer constant | 5.45±0.1 | 5.45 | 5.45 | 5.39 | 5.40 |
| Azimuth passband FWHM | 8° ± 1.0° | 7.6° ± 0.3° | 7.7° ± 0.3° | 7.1° ± 0.4° | 7.1° ± 0.2° |
| Elevation passband centers separation | 22.5° ± 0.1° | 22.6° ± 0.2° | 22.5° ± 0.9° | 22.5° ± 0.3° | 22.5° ± 0.3° |
| Elevation passband FWHM | 22.5° ± 2.5° | 24.0° ± 0.7° | 24.8° ± 0.7° | 23.1° ± 0.7° | 23.8° ± 0.7° |
| RF H+ attenuation 0.5 to 2.5 keV | ≥30× | >30 | >30 | >30 | >30 |
| RF H+ attenuation E≥2.5 keV | ≥8× | >8× @ 3.2 keV | >8× @ 3.2 keV | >8× @ 3.2 keV | >8× @ 3.2 keV |
| Singles dead time [μs] | ≤1.0 | 0.2 | 0.2 | 0.7 | 0.8 |
| Coincidence dead time [μs] | ≤3.0 | 2.5 | 2.7 | 2.5 | 3.0 |
11.1 Geometric Factor
Summation of calibration results as a function of energy over the full energy range. Data are from an HPCA FM1 start counter showing the dependence of four calibration parameters (GF, A eff, Δβ, and 〈ΔαΔE/E〉) on energy from 30 eV through 32 keV
Effective area of FM3 Anode 14 plotted against MCP voltage. The beam energy was 1.0 keV
11.2 Mass Range and Resolution
Figure 20 shows a sample TOF spectrum at 3.159 keV plotted on a log scale to show that all species are separated at ∼10 % of peak height, easily meeting the resolution requirement of M/ΔM=4 at FWHM. The areas marked in red delineate TOF channel boundaries used for ion species selection. It is also evident from Fig. 20 that although there is a noise floor that increases at low masses, the signal peak to noise ratio is always >10. Figure 31 shows measured TOF channel boundaries over the entire energy range.
Plot of ion TOF vs. (M/q)1/2 for H+, \(\mathrm{H}_{2}^{+}\), He+, N+, O+, and \(\mathrm{N}_{2}^{+}\). Data were taken at the pre-programmed energy step of 2.269 keV
Experimental data in Fig. 50 differ slightly from theory because of an offset of 7.27 ns in the flight model delay line. Calibrating out the offset by subtracting 7.27 ns makes the two fits nearly identical. The difference between the N+ TOF peak at 85 ns for 1.0 keV ions (Fig. 23) vs. 75 ns here (including the TOF offset) is due to use of one amplifier per ring for data in Fig. 23 vs. flight configuration delay lines in Fig. 50. (Data in Fig. 23 could only be obtained with separate amplifiers—not the delay lines in flight configuration.)
11.3 Azimuth-Energy Passband
Azimuthal angle vs. energy passband taken at 32 keV
Individual passbands summed over energy and angle using data from Fig. 51. Dots are data taken with the EPIC ion beam while lines are simulations
Seven energy passbands covering center energies from 1639 to 4399 eV. The ratio of energy (top scale) to applied voltage on the ESA (bottom scale) gives an analyzer constant of 5.45
11.4 Analyzer Constant
Comparison of the incident ion energy measured at every beam setting with the high resolution ESA micro-stepped voltage scans (Fig. 53) yields a very accurate measurement of the analyzer constant of 5.45 which is within expected error limits (Table 8).
11.5 Elevation Passband
Elevation passbands for each of 16 anodes. Counts are normalized to 1.0. Numbers above some of the passbands refer to start anodes which are referenced to the sensor structure
11.6 RF Attenuation
During calibration the amount of attenuation as a function of RF settings was taken for all four species (H+, \(\mathrm{H}_{2}^{+}\), He+, N+) at five energies out of the 14 within the RF operating range (Table 4). Figure 23 is an example of a family of attenuation curves for protons taken with the prototype at 1.0 keV (the approximate location of peak proton flux in Fig. 2). In Fig. 23 flux attenuation is plotted as normalized counting rate summed over proton TOF channels vs. peak-to-peak RF voltage for a range of frequencies. These data show that the requirement for proton attenuation >30 is easily achieved over the full range of frequencies (Table 8). Using calibration data of this type, a table of frequency vs. amplitude as a function of energy has been created that can be used to command any desired attenuation. In addition to total flux, the shapes of the passbands of attenuated fluxes are recorded (Fig. 24) allowing accurate reconstruction of velocity distributions.
As mentioned earlier, attenuation has an effect on the azimuth-energy passband (Fig. 24). The large reduction in transmitted flux at both energies in the figure is apparent from the color scale on the right. In addition to attenuating ion fluxes however, the RF field also shifts the main passbands to lower voltages by about 13 % and to lower azimuths by −2°. The shifts are caused by asymmetries in the ESA electric field introduced by the RF (refer back to trajectories in Fig. 9). Using this calibration information the small shifts in energy and FOV passbands can be taken into account during analysis. Figures 24c and 24d show similar responses for 3.159 keV, which is near the upper end of the RF operating range. As expected there is less attenuation than in the 0.995 keV case. However, by this point proton fluxes have fallen by roughly an order of magnitude. The RF also creates side lobes on the distributions (Figs. 24b and 24d) but they have negligible intensity and can be ignored or corrected in analysis.
11.7 Resources
HPCA allocated and measured resources for FM1
| Resource | Allocation | Measurement |
|---|---|---|
| Fast Survey Power (W) | 15.93 | 14.48 |
| Slow Survey Power (W) | 11.47 | 10.43 |
| Mass (kg) | 9.89 | 8.91 |
12 Summary and Conclusions
HPCA is a novel instrument designed to meet the demanding measurement requirements of the MMS mission. The HPCA will contribute significantly to the definitive investigation of magnetic reconnection under all conditions wherever it might occur. Calibration has shown that the HPCA optics, detector, electronics and software perform as required, allowing it to produce accurate results over the full range of operating conditions. Performance requirements presented in Table 2 are all met and, in particular, the requirement for high dynamic range so critical to successful measurements of minor species, is met with reserves. Calibration also demonstrates that the performance of all four units is very nearly the same. At this point all four flight models of the HPCA have been delivered and integrated on their respective spacecraft with one slight mismatch in the unit numbering scheme: FM 1 and 2 are on Observatories 1 and 2; FM 3 is on Observatory 4 and FM 4 on Observatory 3.
Notes
Acknowledgements
Development of the HPCA has been an ongoing effort at SwRI for the past 10 years. We acknowledge generous support by the SwRI Internal Research program. We wish to thank members of the staff at SwRI, in particular W.C. Gibson and R.K. Black for their management skills directing the SwRI portions of the mission. We thank APL staff members and the APL internal research program for supporting development of the TOF ASICs and TOF board. At LMATC we particularly wish to thank Alex Price. We also acknowledge the support of members of the MMS project staff who helped with accommodating HPCA on the MMS spacecraft. HPCA was developed under NASA MMS contract NNG04EB99C. Work at APL was performed under SwRI subcontract 599789Q and at Lockheed Martin under SwRI subcontract 899039BT.
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