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Monte carlo analysis of a free electron laser in a storage ring

  • Photophysics, Laser Chemistry
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Abstract

This paper contains studies of the operation of a one-dimensional storage ring free-electron laser (FEL) using a Monte Carlo technique to generate the electron energy fluctuations produced by the FEL. The energy and phase equations of motion have been numerically integrated to calculate equilibrium values of: a) electron energy spread, b) electron phase spread (e.g. electron bunch length), and c) efficiency of conversion of electron energy into laser radiation. The operation of the storage ring free-electron laser was studied for five different FEL magnet designs. It is found that a “one-dimensional” storage ring free-electron laser can operate on a steady-state basis only with reduced overall efficiency due to the inability of the system to damp effectively the electron energy fluctuations produced by the FEL. Results of operation of a SRFEL in a pulsed mode are also presented.

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Abbreviations

U rf :

Energy received by an electron from the rf cavity [J]

U FEL :

Amount of FEL energy radiated by the electron in one revolution [J]

U SYN :

Amount of synchrotron energy radiated by the synchronous electron in one revolution [J]

V :

U rf/mc 2

δγ :

U FEL/mc 2

γ n :

Normalized electron energy during itsn th revolution in the ring

t n :

Time of electron arrival to the rf cavity (SEC)

γ s :

Normalized energy of the synchronous electron

t s :

Time of arrival of the synchronous electron to the rf cavity (SEC)

γ R :

Normalized FEL resonance energy

θ n :

Optical phase of the electron at the FEL during itsn th revolution

Φ:

rf cavity phase constant

∝:

Momentum compaction factor for the SRFEL

T :

Revolution time of the synchronous electron (SEC)

σ:

Normalized electron RMS energy spread

τRms :

Electron bunch length (SEC)

1/N s :

Synchrotron energy damping rate

1/N D :

SRFEL effective energy damping rate

N :

Number of storage ring revolutions

a k :

Energy autocorrelation function

\(\overline {\delta \Gamma }\) :

Normalized mean SRFEL energy radiated by the electron per revolution

S :

Optical power density [w/m2]

λ:

Optical wavelength [m]

λ0 :

FEL magnet period [m]

B :

FEL magnetic field [Tesla]

v Z :

Longitudinal electron velocity along FEL interaction region

v ZR :

Longitudinal FEL resonance velocity

References

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Author notes

  1. L. R. Elias

    Present address: Quantum Institute, University of California at Santa Barbara, 93106, Santa Barbara, CA, USA

Authors and Affiliations

  1. High Energy Physics Laboratory, Stanford University, 94305, Stanford, CA, USA

    L. R. Elias, J. M. J. Madey & T. I. Smith

Authors
  1. L. R. Elias
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  2. J. M. J. Madey
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  3. T. I. Smith
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Additional information

Work supported by U.S. Army BMD-ATC, under contract number DASG 60-77-C-0083.

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Elias, L.R., Madey, J.M.J. & Smith, T.I. Monte carlo analysis of a free electron laser in a storage ring. Appl. Phys. 23, 273–282 (1980). https://doi.org/10.1007/BF00914911

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