Abstract
A method of numerical analysis of linear and nonlinear nonstationary processes in relativistic Cerenkov generators based on periodic superdimensional waveguides is proposed. The main idea lies in considering a nonregular waveguide as a sequence of wave transformers and using a cross-section method. Configurations of eigenwave fields of periodic waveguides with a high-current relativistic electron beam are considered. The processes of generation development in a section of a relativistic multiwave generator are studied. We show that the system frequency is proved to be determined by the longitudinal resonances of surface waves and internal feedback.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 6, pp. 119–139, 2009.
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Nifanov, A.S., Slepkov, A.I. The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators. J Math Sci 172, 837–851 (2011). https://doi.org/10.1007/s10958-011-0227-8
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DOI: https://doi.org/10.1007/s10958-011-0227-8