Nonstationary stage of quasi‐cherenkov beam instability in periodical structures¹

Authors thank prof. V. G. Baryshevsky for permanent interest to their work

Abstract

Analysis of nonstationary stage of quasi‐Cherenkov instability of electron beam in the case of two‐wave distributed feedback is carried out. Mathematical models and numerical methods of nonstationary quasi‐Cherenkov electron beam instability are proposed. Results of numerical experiments are proposed. Bifurcations of nonstationary solution are discussed.

Straipsnyje analizuojama nestacionariosios fazes kvazi‐Cherenkovo elektronu spinduliuotes nestabilumas esant dvieju bangu saveikai su grižtamo ryšio pernešimu. Pasiūlyti šios elektronu spinduliuotes nestacionariosios fazes atveju matematiniai ir skaitiniai sprendimo metodai. Pateikti skaitinio eksperimento rezultatai. Aptartos nestacionariojo sprendinio bifurkacijos.

Key words:

• quasi‐Cherenkov instability
• numerical modelling
• nonlinear integro‐differential system
• bifurcations

Notes

Authors thank prof. V. G. Baryshevsky for permanent interest to their work