Geodesic
The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 119-139

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A method of numerical analysis of linear and nonlinear nonstationary processes in relativistic Cerenkov generators based on periodic super-dimensional waveguides is proposed. The main idea consist in considering a nonregular waveguide as a sequence of wave transformers and using a cross sections method. The configurations of eigen-waves fields of periodic waveguide with high-current relativistic electron beam are considered. The processes of generation development in the section of relativistic multiwave generator is studied. We show that the system frequency is proved to determined by the longitudinal resonances of surface waves and internal feedback. 
@article{FPM_2009_15_6_a8,
     author = {A. S. Nifanov and A. I. Slepkov},
     title = {The interaction of electron beams and electromagnetic fields in relativistic {Cerenkov} generators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {119--139},
     publisher = {mathdoc},
     volume = {15},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/}
}
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A. S. Nifanov; A. I. Slepkov. The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 119-139. http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/