Pfc/ja-86-45 Compton and Raman Free Electron Laser Stability Properties for a Warm Electron Beam Propagating through a Helical Magnetic Wiggler
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چکیده
This paper gives an extensive analytical and numerical characterization of the growth rate curves (imaginary frequency versus wavenumber) derived from the free electron laser dispersion relation for a warm relativistic electron beam propagating through a constantamplitude helical magnetic wiggler field. The electron beam is treated as infinite in transverse extent. A detailed mathematical analysis is given of the exact dispersion relation and its Compton approximation for the case of a waterbag equilibrium distribution function (uniform distribution in axial momentum pz). Applicability of the waterbag results to the case of a Gaussian equilibrium distribution in p. is tested numerically. One result of the waterbag analysis is a set of validity conditions for the Compton approximation. Numerical and analytical results indicate that these conditions are applicable to the Gaussian case far outside the parameter range where the individual waterbag and corresponding Gaussian growth rate curves agree.
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Self-Fields Effects on Gain in a Helical Wiggler Free Electron Laser with Ion-Channel Guiding and Axial Magnetic Field
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تاریخ انتشار 2014