Abstract
This chapter introduces a new form of magnetometer which combines precision cavity optomechanical measurement with magnetostrictive material response. Such magnetometers can be fabricated on-chip and function both at room temperature and in earths magnetic field. Firstly, we derive the fundamental limit to sensitivity due to the thermomechanical fluctuations of the system, showing that sensitivity exceeding the current state-of-the-art is in-principle possible. We then show that bandwidths in the megahertz range are feasible. Then, we discuss the experimental implementation of these magnetometers, with demonstrated sensitivity at the level of 200 picotesla and tens of micrometer resolution. Finally, we compare both theory and experiments to the state-of-the-art. The sensitivity of current devices is less than a factor of 100 away from the best similarly sized cryogenic SQUID magnetometers, while theory suggests that sensitivity over an order of magnitude superior to those devices is possible.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The name “Terfenol” derives from terbium, iron (Fe) and the the abbreviation NOL for the Naval Ordinance Laboratory.
- 2.
If we define the measurement strength as the inverse of the on-resonance measurement accuracy B N,min.
- 3.
They can even exceed this limit utilising quantum correlations between photons.
References
F. Bucholtz et al., High frequency fibre optic magnetometer with 70 fT Hz−1/2 resolution. Electron. Lett. 25(25), 1719–1720 (1989)
R. Osiander et al., A microelectromechanical-based magnetostrictive magnetometer. Appl. Phys. Lett. 69(19), 2930 (1996)
Y. Hui et al., High resolution magnetometer based on a high frequency magnetoelectric MEMS-CMOS oscillator. J Microelectromech S 24, 1 (2015)
S. Forstner et al., Cavity optomechanical magnetometer. Phys. Rev. Lett. 108, 120801 (2012)
S. Forstner et al., Ultrasensitive optical magnetometry. Adv. Mater. 26, 6348 (2014)
D.L. Sage et al., Efficient photon detection from color centers in a diamond optical waveguide. Phys. Rev. B Rapid 85, 121202(R) (2012)
S. Forstner et al., Sensitivity of cavity optomechanical field sensors. Proc SPIE 8439, 84390U (2012)
L.P. Ichkitidze et al., Magnetic field sensors in medical diagnostics. Biomed. Eng. 48(6), 305–309 (2015)
A. Edelstein, Advances in magnetometry. J. Phys.: Condens. Matter 19, 165217 (2007)
A. Laraoui et al., Diamond nitrogen-vacancy center as a probe of random fluctuations in a nuclear spin ensemble. Phys. Rev. B 84, 104301 (2011)
D. Rühmer et al., Vector fluxgate magnetometer for high operation temperatures up to 250 °C. Sens. Actuat. A-Phys. 228(1), 118–124 (2015)
H. Can, U. Topal, Design of ring core fluxgate magnetometer as attitude control sensor for low and high orbit satellites. J. Supercond. Nov. Magn. 28(3), 1093–1096 (2015)
I. Kovacic, M.J. Brennan, The Duffing Equation: Nonlinear Oscillators and Their Behavior (Wiley, London, 2011)
M.B. Moffett et al., Characterization of Terfenol-D for magnetostrictive transducers. J. Acoust. Sec. Am. 89(3), 1448–1455 (1991)
G. Engdahl, Handbook of Gieant Magnetostrictive Materials (Academic Press, San Diego, 2000)
A. Schliesser et al., Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the Heisenberg uncertainty limit. Nat. Phys. 5, 509–514 (2009)
W.P. Bowen, G.J. Milburn, Quantum Optomechanics (CRC Press, Taylor & Francis Publishing, London, 2015)
C.W. Gardiner, M.J. Collett, Input and output in damped quantum systems: quantum stochastic differential equations and the master equation. Phys. Rev. A 31, 3761 (1985)
T.P. Purdy et al., Observation of radiation pressure shot noise on a macroscopic object. Science 339(6121), 801–804 (2013)
S. Schreppler et al., Optically measuring force near the standard quantum limit. Science 344(6191), 1486–1489 (2014)
L. Ding et al., High frequency GaAs nano-optomechanical disk resonator. Phys. Rev. Lett. 105, 263903 (2010)
L.D. Landau, E.M. Lifshitz, Theory of Elasticity, 2nd edn. (Pergamon Press, New York, 1970)
M.H. Saad, Elasticity: Theory, Applications, and Numerics, 3nd edn. (Academic Press, New York, 2014)
D.K. Armani et al., Ultra-high-Q toroid microcavity on a chip. Nature 421, 925–928 (2003)
T.J. Kippenberg et al., Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity. Phys. Rev. Lett. 95, 033901 (2005)
D.M. Dagenais et al., Elimination of residual signals and reduction of noise in a low-frequency magnetic fiber sensor. Appl. Phys. Lett. 53, 1474 (1988)
M. Sawicki et al., Sensitive SQUID magnetometry for studying nanomagnetism. Semicond. Sci. Technol. 26(6), 064006 (2011)
H.B. Dang et al., Ultrahigh sensitivity magnetic field and magnetization measurements with an atomic magnetometer. Appl. Phys. Lett. 97, 151110 (2010)
M.V. Romalis, H.B. Dang, Atomic magnetometers for materials characterization. Mater. Today 14(6), 258–262 (2011)
D. Budker, M. Romalis, Optical magnetometry. Nat. Phys. 3, 227–234 (2007)
G. Balasubramanian et al., Ultralong spin coherence time in isotopically engineered diamond. Nat. Mater. 8, 383–387 (2009)
T. Wolf et al., A subpicotesla diamond magnetometer. arXiv:1411.6553 [quant-ph] (2014)
V. Shah et al., Subpicotesla atomic magnetometry with a microfabricated vapour cell. Nat. Photon. 1, 649–652 (2007)
J.R. Kirtley et al., High-resolution scanning SQUID microscope. Appl. Phys. Lett. 66(9), 1138–1140 (1995)
F. Baudenbacher et al., Monolithic low-transition-temperature superconducting magnetometers for high resolution imaging magnetic fields of room temperature samples. Appl. Phys. Lett. 82(20), 3487–3489 (2003)
M.I. Faley et al., A new generation of the HTS multilayer dc-SQUID magnetometers and gradiometers. J. Phys: Conf. Ser. 43(1), 1199–1202 (2006)
A. Sandhu et al., Nano and micro Hall-effect sensors for room-temperature scanning hall probe microscopy. Microelectron. Eng. 73–74, 524–528 (2004)
A. Sandhu et al., 50 nm hall sensors for room temperature scanning hall probe microscopy. Jpn. J. Appl. Phys. 43(2), 777–778 (2004)
J.R. Maze et al., Nanoscale magnetic sensing with an individual electronic spin in diamond. Nature 455(2), 644–648 (2008)
L.M. Pham et al., Magnetic field imaging with nitrogen-vacancy ensembles. New J. Phys. 13, 045021 (2011)
K. Jensen et al., Cavity-enhanced room-temperature magnetometry using absorption by nitrogen-vacancy centers in diamond. Phys. Rev. Lett. 112, 160802 (2014)
V.M. Acosta et al., Broadband magnetometry by infrared-absorption detection of nitrogen-vacancy ensembles in diamond. Appl. Phys. Lett. 97(17), 174104 (2010)
M. Vengalattore et al., High-resolution magnetometry with a Spinor Bose-Einstein condensate. Phys. Rev. Lett. 98(20), 200801 (2007)
D. Shuxiang et al., Ultrahigh magnetic field sensitivity in laminates of TERFENOL-D and Pb(Mg1/3Nb2/3)O3-PbTiO3 crystals. Appl. Phys. Lett. 83(11), 2265 (2003)
S. Forstner et al., Sensitivity and performance of cavity optomechanical field sensors. Photonic Sens. 2(3), 259–270 (2012)
V. Demas, T.J. Lowery, Magnetic resonance for in vitro medical diagnostics: superparamagnetic nanoparticle-based magnetic relaxation switches. New J. Phys. 13, 025005 (2011)
S. Steinert et al., Magnetic spin imaging under ambient conditions with sub-cellular resolution. Nat. Commun. 4, 1607 (2013)
L.S. Bouchard et al., Detection of the Meissner effect with a diamond magnetometer. New J. Phys. 13, 025017 (2011)
M.S. Chang et al., Observation of Spinor dynamics in optically trapped Rb87 Bose-Einstein condensates. Phys. Rev. Lett. 92, 140403 (2004)
K.B. Blagoev et al., Modelling the magnetic signature of neuronal tissue. Neuroimage 37, 137–148 (2007)
M.P. Ledbetter et al., Near-zero-field nuclear magnetic resonance. Phys. Rev. Lett. 107(10), 107601 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bowen, W.P., Yu, C. (2017). Cavity Optomechanical Magnetometers. In: Grosz, A., Haji-Sheikh, M., Mukhopadhyay, S. (eds) High Sensitivity Magnetometers. Smart Sensors, Measurement and Instrumentation, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-34070-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-34070-8_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-34068-5
Online ISBN: 978-3-319-34070-8
eBook Packages: EngineeringEngineering (R0)