Magnetostatic Resonance in Hybrid Planar Ubitron

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

doi:10.1109/crmico.2006.256383

Cited by 2 publications

(2 citation statements)

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“…In particular, in Ref. [41] such an approach was constructed for interaction of an electron beam with a mode of an arbitrary regular waveguide in a hybrid FEM as a perturbation theory in the microwave fieldsẼ andB (B k , B ? ) cjẼj=jṽj, jBj).…”

Section: Linear Amplification: Magnetostatic Resonance and Maximamentioning

confidence: 99%

Hybrid planar free-electron maser in the magnetoresonance regime

Goryashko

Ilyenko

Opanasenko

2009

Phys. Rev. ST Accel. Beams

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We study the operation regime of a hybrid planar free-electron maser (FEM) amplifier near the magnetoresonant value of the uniform longitudinal (guide) magnetic field. Using analytical expressions for individual test electron trajectories and normal frequencies of their three-dimensional oscillations in the magnetostatic field of the hybrid planar FEM, an analytical condition of chaotization of motion is established and shown to be 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. It is also shown analytically that, in spite of the well-known drop for the exact magnetoresonance, the gain attains its maximal value in the zone of regular dynamics slightly above the magnetoresonant value of the guide magnetic field. Under the condition of undulator resonance, it is practically independent of the amplitude of the undulator magnetic field and the wavelength of amplified signal. To account for spacecharge effects, we propose a theoretical model of a weakly relativistic FEM, which accommodates not only potential but also rotational parts of the nonradiated electromagnetic field of a moving charged particle. It turns out that the rotational part of nonradiated field diminishes the defocusing influence of the potential part on the beam bunching. Numeric simulation of the nonlinear stage of amplification is fulfilled, taking into consideration adiabatic entrance of the electron beam to the interaction region and initial electron velocity spread. We find that nonradiated field and initial electron velocity spread do not influence essentially the efficiency of hybrid planar FEM amplification if parameters of the beammicrowave interaction correspond to the operational regime in the zone of regular dynamics near the magnetoresonance.

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Section: Linear Amplification: Magnetostatic Resonance and Maximamentioning

confidence: 99%

Hybrid planar free-electron maser in the magnetoresonance regime

Goryashko

Ilyenko

Opanasenko

2009

Phys. Rev. ST Accel. Beams

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“…In particular, in Ref. [37] such an approach was constructed for interaction of an electron beam with a mode of an arbitrary regular waveguide in a hybrid FEM. It should be noted that analytical theory of this type is valid not only far away from the magnetoresonance (Ω 0 ≈ Ω , cf.…”

Section: Linear Amplification: Magnetostatic Resonance and Maximal Gainmentioning

confidence: 99%

Hybrid Planar FEM in Magnetoresonance Regime: Control of Dynamical Chaos

Goryashko,

Ilyenko,

Opanasenko

2008

Preprint

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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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Magnetostatic Resonance in Hybrid Planar Ubitron

Cited by 2 publications

References 0 publications

Hybrid planar free-electron maser in the magnetoresonance regime

Hybrid planar free-electron maser in the magnetoresonance regime

Hybrid Planar FEM in Magnetoresonance Regime: Control of Dynamical Chaos

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