Dispersion relation and growth in a free-electron laser with planar wiggler and in-channel guiding

UH Hwang, H Mehdian, JE Willett, YM Aktas - Physics of Plasmas, 2002 - pubs.aip.org
A theory of a planar wiggler free-electron laser with ion-channel guiding is developed. An
analysis of the quasi-steady-state electron trajectories is first obtained by solving the
equations of motion for an electron in the ion-channel electrostatic field and the wiggler
magnetostatic field. Next a sixth-degree polynomial dispersion equation for electromagnetic
and space-charge waves in the wiggler is derived. Numerical solutions of the polynomial
equation yield the complex wave number as a function of the frequency of the waves. These …
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