MATHEMATICAL MODELLING OF MULTIWAVE VOLUME FREE ELECTRON LASER: BASIC PRINCIPLES AND NUMERICAL EXPERIMENTS

This contribution is devoted to investigation of multiwave Volume Free Electron Laser (VFEL) by methods of mathematical modelling. Special emphasis is placed on consideration of three‐wave VFEL. Mathematical modelling carried out confirmed some preliminary physical estimates. Computer code VOLC for simulation of different schemes of two‐ and three‐wave VFEL is described. Key words: free electron laser, quasi‐Cherenkov instability, simulation, nonlinear integro‐differential system.

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MODELLING OF QUASI‐CHERENKOV ELECTRON BEAM INSTABILITY IN PERIODICAL STRUCTURES

Mathematical Modelling and Analysis ◽

10.3846/13926292.2004.9637237 ◽

2005 ◽

Vol 9 (1) ◽

pp. 1-8

Author(s):

K. Batrakov ◽

S. Sytova

Keyword(s):

Mathematical Model ◽

Electron Beam ◽

Numerical Method ◽

Differential System ◽

Numerical Experiments ◽

Three Dimensional ◽

Distributed Feedback ◽

Beam Instability ◽

Nonlinear Stage ◽

Cherenkov Instability

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.

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THE "NAIBEA" ACCELERATOR: AN IMPROVED INVERSE FREE ELECTRON LASER

International Journal of Modern Physics A ◽

10.1142/s0217751x93001302 ◽

1993 ◽

Vol 08 (19) ◽

pp. 3235-3262 ◽

Cited By ~ 2

Author(s):

M. S. HUSSEIN ◽

M. P. PATO

Keyword(s):

Magnetic Field ◽

Free Electron ◽

Free Electron Laser ◽

Relativistic Particle ◽

Particle Accelerators ◽

Basic Principles ◽

Future Developments

The basic principles of linearly accelerating electrons with the aid of a laser combined with a static electric or magnetic field are discussed. The NAIBEA accelerator is then detailed. Predictions are made for future developments in the field of relativistic particle accelerators.

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