2020/06/16 by Andrew Charman, Charman, A. E., J. S. Wurtele +3
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Laser-Plasma Interactions and Diagnostics #Optics (physics.optics) #Particle Accelerators and Free-Electron Lasers
paper · pdf · doi:10.48550/arxiv.2006.12248
openalex publication_date 2020/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Within the framework of a Hilbert space theory, we develop a maximum-``power'' variational principle (MPVP) applicable to classical spontaneous electromagnetic radiation from relativistic electron beams or other prescribed classical current sources. A simple proof is summarized for the case of three-dimensional fields propagating in vacuum, and specialization to the important case of paraxial optics is also discussed. The techniques have been developed to model undulator radiation from relativistic electron beams, but are more broadly applicable to synchrotron or other radiation problems, and may generalize to certain structured media. We illustrate applications with a simple, mostly analytic example involving spontaneous undulator radiation (requiring a few additional approximations), as well as a mostly numerical example involving x-ray generation via high harmonic generation in sequenced undulators