Renormalized Resonant Conditions for a Hybrid Weakly-Relativistic Waveguide Free-Electron Laser

Goryashko, Vitaliy; Ilyenko, K.; Opanasenko, A. N.

doi:10.1615/telecomradeng.v65.i11.50

Cited by 2 publications

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“…Analytical linear in the microwave field theory of beamwave interaction for a hybrid planar FEL amplifier can be constructed along the same lines as the highly successful theory of gyrotron provided analytical expressions for singleparticle trajectories of electrons in the combined pump magnetostatic field are known [3][4][5] . Solutions to the corresponding nonlinear equations are found numerically.…”

Section: Resultsmentioning

confidence: 99%

Free-electron laser with resonant pumping

Ilyenko

Goryashko

Opanasenko

2008

2008 33rd International Conference on Infrared, Millimeter and Terahertz Waves

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We find the boundaries of regular and chaotic dynamics zones around the magnetoresonance for a hybrid planar free-electron laser amplifier. For the zones of regular dynamics the maximal magnetoresonant gain is calculated analytically and is shown to be in a good agreement with non-linear numerical simulations. It is also analytically demonstrated that in the vicinity of magnetoresonance the gain is independent of the spatial amplitude of undulator magnetic field. Moreover, we find that in the zone of regular dynamics above the magnetoresonance the efficiency of amplification achieves its maximal value and is less prone to the influence of space-charge effects.

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Section: Resultsmentioning

confidence: 99%

Free-electron laser with resonant pumping

Ilyenko

Goryashko

Opanasenko

2008

2008 33rd International Conference on Infrared, Millimeter and Terahertz Waves

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“…We focus our attention on the operation of FEM around the magnetoresonant regime caused by the guide magnetic field usually used in FEM setups to enhance the efficiency of beam-microwave interaction and provide transverse confinement of electron beam. The study is based upon analytical asymptotically exact expressions for electron trajectories developed recently [17,18] as well as on the use of direct numerical simulations. More specifically, in the adopted approach we highlight the fundamental role of nonlinear dynamical system describing motion of electrons in the combined magnetostatic spatially periodic (undulator) and uniform guide magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…FIG. 17: In the top figure solid black (gain G) and red (frequency f ) lines are obtained from analytical expressions(18) and(20); the dots of respective colors are the results of direct numerical simulation of Eqs. (21) and (22).…”

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confidence: 99%

Hybrid Planar FEM in Magnetoresonance Regime: Control of Dynamical Chaos

Goryashko,

Ilyenko,

Opanasenko

2008

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We establish the influence of nonlinear electron dynamics in the magnetostatic field of a hybrid planar free-electron maser on its gain and interaction efficiency. Even for the 'ideal' undulator magnetic field the presence of uniform longitudinal (guide) magnetic field potentially leads to the existence of chaotic zone around certain (magnetoresonant) value of the guide magnetic field. The width of the chaotic zone is given by the Chirikov resonance-overlap criterion applied to the normal undulator and cyclotron frequencies with respect to the coupling induced by the undulator magnetic field. Using analytical asymptotically exact solutions for trajectories of individual test electrons, we show that the magnetoresonant multiplier in electron trajectories is also present in the expression for the gain. The same Chirikov resonance-overlap criterion allows us to estimate analytically the maximal magnetoresonant gain of a hybrid planar free-electron maser showing that, in spite of the well-known drop in the gain for the exact magnetoresonance, the operation regime in the zone of regular dynamics slightly above the magnetoresonant value of the guide magnetic field is the preferable one.

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Renormalized Resonant Conditions for a Hybrid Weakly-Relativistic Waveguide Free-Electron Laser

Cited by 2 publications

References 0 publications

Free-electron laser with resonant pumping

Free-electron laser with resonant pumping

Hybrid Planar FEM in Magnetoresonance Regime: Control of Dynamical Chaos

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