Modelling of quasi‐Cherenkov electron beam instability in periodical structures¹

Authors thank prof. V. G. Baryshevsky for his interest to this work

Abstract

Nonlinear stage of quasi‐Cherenkov instability of electron beam under conditions of two‐ and three‐dimensional distributed feedback is simulated. The scheme of distributed feedback with two strong coupled waves is considered. Mathematical model of quasi‐Cherenkov electron beam instability is proposed. Numerical method to solve the nonlinear integro‐differential system, describing such instability, is worked out. Results of numerical experiments are discussed.

Modeliuojama elektronu spindulio kvazi‐Cherenkovo nestabilumo netiesine faze su dvimačio ir trimačio paskirstytojo grižtamojo ryšio salyga. Nagrinejama schema su grižtamuoju ryšiu su dviem susietomis stipriomis bangomis. Pateiktas kvazi‐Cherenkovo elektroninio spindulio nestabilumo matematinis modelis. Pasiūlytas veiksmingas skaitinis algoritmas, skirtas netiesinems integro‐diferencialinems lygčiu sistemoms su tokio tipo nestabilumu, spresti. Apžvelgti skaitinio eksperimento rezultai.

Key words:

• quasi‐Cherenkov instability
• numerical modelling
• nonlinear integro‐differential System

Notes

Authors thank prof. V. G. Baryshevsky for his interest to this work