Effects of wiggler and axial guide fields on the relativistic high-frequency waves in a cylindrical plasma waveguide

An analysis of the azimuthally symmetrical, high frequency eigenmodes of a cylindrical metallic waveguide completely filled with a one-dimensional helical wiggler and relativistic magnetized plasma is presented. A relativistic nonlinear wave equation is derived in a form including the coupling of EH and HE modes due to the finite axial and wiggler magnetic fields. This treatment shows that the dispersion curves are dependent on dγ∕dt and Bw, ignored in previous works. The difference between relativistic modes with effects of wiggler field and nonrelativistic cases is shown. This study is benefiting to improve the devices for generation of high-power electromagnetic radiation, charged particle acceleration, and other applications of plasma waveguide.