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Dispersion Equation for Smith-Purcell FEL

2017/02/01 by M. A. Kutlan, Kutlan, M. A.
Engineering · Materials Science · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Laser Design and Applications #Magneto-Optical Properties and Applications #Optical Coatings and Gratings

paper · pdf · doi:10.48550/arxiv.1702.00242

openalex publication_date 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the grating, which has depth of grooves as a small parameter, the dispersion equation of the Smith-Purcell instability was obtained. It was found that the condition of the Thompson or the Raman regimes of excitation does not depend on beam current but depends on the height of the beam above grating surface. The growth rate of instability in both cases is proportional to the square root of the electron beam current.

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