Abstract
In this work, a formula for the amplification parameter (analogous to the Pierce parameter in travelling-wave tube theory) of regular waveguide modes is deduced in the case of induced scattering by an electron beam with an arbitrary electron density distribution in the cross section. The presence of an axial magnetic field transporting a beam along the interaction region is taken into account. Obtained results can be used for calculation of the amplification in free electron lasers with electromagnetic, magnetostatic or electrostatic pump and a definite beam transverse profile. In particular, expressions for amplification coefficients in the case of a thin-wall hollow electron beam propagating in a cylindrical waveguide, that takes into account the excitation of beam waves (space charge in TWT theory), are found. An analysis of the dependence of amplification on the guiding magnetic field value and hollow beam radius is carried out.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
