Abstract
The paper presents the results of a one-dimensional linear theory of the FEL amplifier with planar undulator. The analytic solution of the initial problem is found with Laplace transformation techniques taking into account space charge fields and energy spread of the particles in the beam. The asymptotic gain formula for the case of the Gaussian energy spread is derived. It is shown that all the analytic relations (eigenvalue equation, asymptotic formula for the gain, etc.) written down in the reduced form completely coincide in both cases: for planar and helical undulator.
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.
