Title :
Dispersion Equation of Hybrid Planar Ubitron
Author :
Ilyenko, Kostyantyn ; Goryashko, Vitaliy ; Opanasenko, Anatoliy
Author_Institution :
Nat. Acad. of Sci. of Ukraine, Kharkov
Abstract :
In the linear in the microwave field approximation the dispersion relation for an arbitrary waveguide loaded with a thing electron beam moving in external spatially-periodic magnetostatic field of a planar ubitron and uniform guide magnetic field is obtained. Non-perturbed electron trajectories are found as solutions to a non-linear system of equations via an asymptotic expansion in the small ratio of the amplitude of the undulator magnetic field to the magnitude of the guide magnetic field. As solutions to the travelling wave amplification problem, we calculated the amplification band, spatial growth rate and made an efficiency estimate taking into account magnetostatic resonance.
Keywords :
electron beams; magnetic fields; microwave tubes; nonlinear equations; travelling wave amplifiers; wigglers; arbitrary waveguide; asymptotic expansion; dispersion equation; electron beam; external spatially-periodic magnetostatic field; hybrid planar ubitron; magnetostatic resonance; microwave field approximation; nonlinear system; nonperturbed electron trajectories; travelling wave amplification problem; undulator magnetic field; Electron beams; Equations; Magnetic analysis; Magnetic fields; Magnetic resonance; Magnetostatic waves; Physics; Planar waveguides; Tellurium; Undulators; equations of excitation; magnetostatic resonance; resonant conditions;
Conference_Titel :
Vacuum Electronics Conference, 2007. IVEC '07. IEEE International
Conference_Location :
Kitakyushu
Print_ISBN :
1-4244-0633-1
DOI :
10.1109/IVELEC.2007.4283330
