Abstract
The gain mechanism can also be used as an oscillator by feedback of a portion of the output signal. An oscillator may be self-excited in the sense that radiation will spontaneously grow from noise if the gain on traversing the wiggler exceeds the losses. An oscillator may also be mode-locked by the injection of a large-amplitude signal with a frequency within the gain band. Since the gain in the interaction region increases with beam current, there is a threshold value of current (known as the start current) below which the gain is exceeded by the losses in the cavity and the radiation will not grow. If the beam current exceeds this threshold, spontaneous noise in the electron beam will be amplified and will grow exponentially in time until the radiation in the oscillator reaches saturation. There are a number of reasons for constructing an oscillator as opposed to an amplifier. First, it may be that no source is available to drive an amplifier. Second, the amplification in one pass through the wiggler may be too small. An amplifier with a small gain is of little practical value. However, if most of the output signal can be fed back to the input, a useful oscillator can be constructed. As a general rule, one finds that shorter-wavelength devices which rely on relatively high-energy but low-current electron beam sources fall into this category and tend to be oscillators because of their inherent low gain. In this chapter we discuss the general theory underlying free-electron laser oscillators.
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References
W.B. Colson, S.K. Ride, The free-electron laser, Maxwell’s equations driven by single particle currents, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, vol. 7, ed. by S.F. Jacobs, H.S. Pilloff, M. Sargent, M.O. Scully, R. Spitzer (Addison-Wesley, Reading, 1980), p. 377
Y.L. Bogomolov, V.L. Bratman, N.S. Ginzburg, M.I. Petelin, A.D. Yunakovsky, Nonstationary generation in free-electron lasers. Opt. Commun. 36, 209 (1981)
N.M. Kroll, P.L. Morton, M.N. Rosenbluth, Free-electron lasers with variable parameter wigglers. IEEE J. Quantum Electron. QE-17, 1436 (1981)
N.S. Ginzburg, M.I. Petelin, Multifrequency generation in free-electron lasers with quasi-optical resonantors. Int. J. Electron. 59, 291 (1985)
H. Al-Abawi, F.A. Hopf, G.T. Moore, M.O. Scully, Coherent transients in the free-electron laser: laser lethargy and coherence brightening. Opt. Commun. 30, 235 (1979)
S.S. Yu, W.M. Sharp, W.M. Fawley, E.T. Scharlemann, A.M. Sessler, E.J. Sternbach, Waveguide suppression of the free-electron laser sideband instability. Nucl. Instr. Meth. A259, 219 (1987)
W.B. Colson, J. Blau, Parameterizing physical effects in free-electron lasers. Nucl. Instr. Meth. A272, 386 (1988)
B. Levush, T.M. Antonsen Jr., Regions of stability of free-electron laser oscillators. Nucl. Instr. Meth. A272, 375 (1988)
W.B. Colson, Classical free-electron laser theory, in The Laser Handbook: Free-Electron Lasers, vol. 6, ed. by W.B. Colson, C. Pellegrini, A. Renieri (North Holland, Amsterdam, 1990), p. 115
J.R. Pierce, Traveling Wave Tubes (Van Nostrand, New York, 1950)
R.E. Collin, Foundations for Microwave Engineering (McGraw-Hill, New York, 1966)
F.A. Hopf, P. Meystre, G.T. Moore, M.O. Scully, Nonlinear theory of free-electron devices, in Physics of Quantum Electronics: Novel Sources of Coherent Radiation, vol. 5, ed. by S.F. Jacobs, M. Sargent, M.O. Scully (Addison-Wesley, Reading, 1978). p. 41
T.M. Antonsen Jr., B. Levush, Mode competition and supression in free-electron laser oscillators. Phys. Fluids B 1, 1097 (1989)
W.B. Colson, R.A. Freedman, Synchrotron instability for long pulses in free-electron lasers. Opt. Commun. 46, 37 (1983)
W.B. Colson, The trapped particle instability in free-electron laser oscillators and amplifiers. Nucl. Instr. Meth. A250, 168 (1986)
J. Masud, T.C. Marshall, S.P. Schlesinger, F.G. Yee, W.M. Fawley, E.T. Scharlemann, S.S. Yu, A.M. Sessler, E.J. Sternbach, Sideband control in a millimeter-wave free-electron laser. Phys. Rev. Lett. 58, 763 (1987)
R.W. Warren, J.C. Goldstein, B.E. Newnam, Spiking mode operation for a uniform-period wiggler. Nucl. Instr. Meth. A250, 19 (1986)
R.W. Warren, J.E. Sollid, D.W. Feldman, W.E. Stein, W.J. Johnson, A.H. Lumpkin, J.C. Goldstein, Near-ideal lasing with a uniform wiggler. Nucl. Instr. Meth. A285, 1 (1989)
G.S. Nusinovich, The mode interaction in free-electron lasers. Sov. Phys. Tech. Phys. 6, 848 (1980)
E.R. Stanford, T.M. Antonsen Jr., The effect of dispersion on mode competition in free-electron laser oscillators. Nucl. Instr. Meth. A304, 659 (1991)
T.M. Antonsen Jr., B. Levush, Mode competition and control in free-electron laser oscillators. Phys. Rev. Lett. 62, 1488 (1989)
N.S. Ginzburg, S.P. Kuznetsov, T.M. Fedoseeva, Theory of transients in backward wave tubes. Radiofizika 21, 1037 (1978)
P. Sprangle, C.M. Tang, I.B. Bernstein, Initiation of a pulsed beam free-electron laser. Phys. Rev. Lett. 50, 1775 (1983)
K.J. Kim, An analysis of self amplified spontaneous emission. Nucl. Instr. Meth. A250, 396 (1986)
W. Becker, J. Gea-Banacloche, M.O. Scully, Intrinsic linewidth of a free-electron laser. Phys. Rev. A 33, 2174 (1986)
A. Friedman, A. Gover, G. Kurizki, S. Ruschin, A. Yariv, Spontaneous and stimulated emission from quasi-free electrons. Rev. Mod. Phys. 60, 471 (1988)
R.W. Warren, J.C. Goldstein, The generation and suppression of synchrotron sidebands. Nucl. Instr. Meth. A272, 155 (1988)
L.R. Elias, R.J. Hu, G.J. Ramian, The UCSB electrostatic accelerator free-electron laser: first operation. Nucl. Instr. Meth. A237, 203 (1985)
T.M. Antonsen Jr., B. Levush, Spectral characteristics of a free-electron laser with time-dependent beam energy. Phys Fluids B 2, 2791 (1990)
R.L. Liboff, Introduction to the Theory of Kinetic Equations (Wiley, New York, 1969)
A. Amir, R.J. Hu, F. Kielmann, J. Mertz, L.R. Elias, Injection locking experiment at the UCSB free-electron laser. Nucl. Instr. Meth. A272, 174 (1988)
L.R. Elias, G.J. Ramian, J. Hu, A. Amir, Observation of single mode operation in a free-electron laser. Phys. Rev. Lett. 57, 424 (1986)
B.G. Danly, S.G. Evangelides, T.S. Chu, R.J. Tempkin, G.J. Ramian, J. Hu, Direct spectral measurements of a quasi-cw free-electron laser. Phys. Rev. Lett. 65, 2251 (1990)
B. Levush, T.M. Antonsen Jr., Nonlinear mode competition and coherence in low gain free-electron laser oscillators. Nucl. Instr. Meth. A285, 136 (1989)
I. Kimmel, L.R. Elias, Long-pulse free-electron lasers as sources of monochromatic radiation. Nucl. Instr. Meth. A272, 368 (1988)
V.N. Litvenenko, N.A. Vinokurov, Lasing spectrum and temporal structure in storage ring free-electron lasers: theory and experiment. Nucl. Instr. Meth. A304, 66 (1991)
G. Dattoli, A. Renieri, Classical multimode theory of the free-electron laser. Lett. Nuovo Cimento 59B, 1 (1979)
W.B. Colson, Optical pulse evolution in the Stanford free-electron laser and in a tapered undulator, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, vol. 8, ed. by S.F. Jacobs, G.T. Moore, H.S. Pilloff, M. Sargent, M.O. Scully, R. Spitzer (Addison-Wesley, Reading, 1982), p. 457
G. Dattoli, T. Hermsen, A. Renieri, A. Torre, J.C. Gallardo, Lethargy of laser oscillations and supermodes in free-electron lasers: I. Phys. Rev. A 37, 4326 (1988)
G. Dattoli, T. Hermsen, L. Mezi, A. Renieri, A. Torre, Lethargy of laser oscillations and supermodes in free-electron lasers: II-quantitative analysis. Phys. Rev. A 37, 4334 (1988)
J.C. Goldstein, B.E. Newnam, R.W. Warren, R.L. Sheffield, Comparison of the results of theoretical calculations with experimental measurements from the Los Alamos free-electron laser oscillator experiment. Nucl. Instr. Meth. A250, 4 (1986)
P. Elleaume, Storage ring free-electron laser theory. Nucl Instr. Meth A237, 28 (1985)
N.M. Kroll, Excitation of hypersonic vibrations by means of photoelastic coupling of high intensity light waves to elastic waves. J. Appl. Phys. 36, 34 (1965)
D. Pesme, G. Laval, R. Pellat, Parametric instabilities in bounded plasmas. Phys. Rev. Lett. 31, 203 (1973)
A. Renieri, Storage ring operation of a free-electron laser: the amplifier. Nuovo Cimento 53B, 160 (1979)
G. Dattoli, A. Renieri, Storage ring operation of a free-electron laser: the oscillator. Nuovo Cimento 59B, 1 (1980)
J.C. Goldstein, Evolution of long pulses in a tapered wiggler free-electron laser, in Free-Electron Generators of Coherent Radiation, Proc. SPIE 453 ed. by C.A. Brau, S.F. Jacobs, M.O. Scully (Bellingham, 1984), p. 2
W.B. Colson, J.L. Richardson, Multimode theory of free-electron laser oscillators. Phys. Rev. Lett. 50, 1050 (1983)
J.C. Goldstein, B.D. McVey, B.E. Carlsten, L.E. Thode, Integrated numerical modeling of free-electron laser oscillators. Nucl Instr. Meth. A285, 192 (1989)
J.C. Goldstein, B.D. McVey, R.L. Tokar, C.J. Elliot, M.J. Schmidt, B.E. Carlsten, L.E. Thode, Simulation codes for modeling free-electron laser oscillators, in Modeling and Simulation of Laser Systems, Proc. SPIE, vol. 1042, ed. by D.L. Bullock (Bellingham, 1989), p. 28
S. Riyopoulos, P. Sprangle, C.M. Tang, A. Ting, Reflection matrix for optical resonantors in free-electron laser oscillators. Nucl. Instr. Meth. A272, 543 (1988)
D. Iracane, J.L. Ferrer, An optimal basis equation for solving the time-dependent Schrödinger equation: simulation of guiding and multifrequency mechanisms. Nucl. Instr. Meth. A296, 417 (1990)
D.A.G. Deacon, J.M. Ortega, The storage ring free-electron laser, in The Laser Handbook: Free-Electron Lasers, vol. 6, ed. by W.B. Colson, C. Pellegrini, A. Renieri (North Holland, Amsterdam, 1990), p. 345
J.M.J. Madey, Relationship between mean radiated energy, mean squared radiated energy, and spontaneous power spectrum in a power series expansion of the equation of motion in a free-electron laser. Nuovo Cimento 50B, 64 (1979)
A.A. Vedenov, E.P. Velikov, R.Z. Sagdeev, Nonlinear oscillations of rarified plasma. Nucl. Fusion 1, 82 (1961)
W.E. Drummond, D. Pines, Nonlinear stability of plasma oscillations. Nucl. Fusion Suppl. 3, 1049 (1962)
T. Taguchi, K. Mima, T. Mochizuki, Saturation mechanism and improvement of conversion efficiency of the free-electron laser. Phys. Rev. Lett. 46, 824 (1981)
N.S. Ginzburg, M.A. Shapiro, Quasilinear theory of multimode free-electron lasers with an inhomogeneous frequency broadening. Opt. Commun. 40, 215 (1982)
D.A. Edwards, M.J. Syphers, An introduction to the physics of particle accelerators, in Physics of Particle Accelerators, vol. 1, ed. by M. Month, M. Dienes (American Institute of Physics Conference Proceedings #184, New York, 1989), p. 2
N.A. Vinokurov, A.N. Skrinsky, Optical range klystron oscillator using ultrarelativistic electrons. Preprint 77-59 of the Institute of Nuclear Physics, Novosibirsk (1977)
N.A. Vinokurov, A.N. Skrinsky, On ultimate power of the optical klystron installed on electron storage ring. Preprint 77-67 of the Institute of Nuclear Physics, Novosibirsk (1977)
D.A.G. Deacon, J.M.J. Madey, Isochronous storage ring laser: a possible solution to the electron heating problem in recirculating free-electron lasers. Phys. Rev. Lett. 44, 449 (1980)
A. Van Steenbergen, Accelerators and storage rings for free-electron lasers, in The Laser Handbook: Free-Electron Lasers, vol. 6, ed. by W.B. Colson, C. Pellegrini, A. Renieri (North Holland, Amsterdam, 1990), p. 417
W.M. Manheimer, T.H. Dupree, Weak turbulence theory of velocity space diffusion and nonlinear Landau damping of waves. Phys. Fluids 11, 2709 (1968)
S. Krinsky, J.M. Wang, P. Luchini, Madey’s gain spread theorem for the free-electron laser and the theory of stochastic processes. J. Appl. Phys. 53, 5453 (1982)
M. Billardon, P. Elleaume, J.M. Ortega, C. Bazin, M. Bergher, M. Velghe, Y. Petroff, D.A.G. Deacon, K.E. Robinson, J.M.J. Madey, First operation of a storage ring free-electron laser. Phys. Rev. Lett. 51, 1652 (1983)
P. Elleaume, Macrotemporal structure of free-electron lasers. J. Phys. 45, 997 (1984)
P. Elleaume, Optical klystron spontaneous emission and gain, in Physics of Quantum Electronics: Free-Electron Generators of Coherent Radiation, vol. 8, ed. by S.F. Jacobs, G.T. Moore, H.S. Pilloff, M. Sargent, M.O. Scully, R. Spitzer (Addison-Wesley, Reading, 1982), p. 119
C.C. Shih, M.Z. Caponi, An optimized multicomponent wiggler design for a free-electron laser. IEEE J. Quantum Electron. QE-19, 369 (1983)
P. Elleaume, Free-electron laser undulators, electron trajectories and spontaneous emission, in The Laser Handbook: Free-Electron Lasers, vol. 6, ed. by W.B. Colson, C. Pellegrini, A. Renieri (North Holland, Amsterdam, 1990), p. 91
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Freund, H.P., Antonsen, T.M. (2018). Oscillator Configurations. In: Principles of Free Electron Lasers . Springer, Cham. https://doi.org/10.1007/978-3-319-75106-1_9
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