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Title: Introduction to the theory of free electron lasers

Abstract

We present an introduction to some fundamental aspects of the theory of free electron lasers. Spontaneous radiation emitted by electrons traversing a wiggler magnet is briefly reviewed, and stimulated emission in the low-gain regime is discussed using Colson's pendulum equations and Madey's theorems. The high-gain regime is treated by an extention of the work of Bonifacio, Pellegrini, and Narducci. We introduce dynamical variables to describe the radiation field, and a Hamiltonian formulation of Maxwell's equations is employed. A canonical transformation to the interaction representation factors out the fast time variation of the radiation field, and the slow time dependence is determined by linearized equations for the appropriate collective variables. As an application of this technique we consider self-amplified spontaneous radiation, and we comment upon the relationship between our approach and the use of coupled Vlasov-Maxwell equations.

Authors:
Publication Date:
Research Org.:
Brookhaven National Lab., Upton, NY (USA)
OSTI Identifier:
6994769
Report Number(s):
BNL-38824; CONF-850771-8
ON: DE87002392
DOE Contract Number:  
AC02-76CH00016
Resource Type:
Conference
Resource Relation:
Conference: SLAC summer school on the physics of high energy particle accelerators, Stanford, CA, USA, 15 Jul 1985; Other Information: Portions of this document are illegible in microfiche products
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 42 ENGINEERING; FREE ELECTRON LASERS; CANONICAL TRANSFORMATIONS; GAIN; MAXWELL EQUATIONS; STIMULATED EMISSION; SYNCHROTRON RADIATION; WIGGLER MAGNETS; AMPLIFICATION; BREMSSTRAHLUNG; DIFFERENTIAL EQUATIONS; ELECTRICAL EQUIPMENT; ELECTROMAGNETIC RADIATION; ELECTROMAGNETS; EMISSION; ENERGY-LEVEL TRANSITIONS; EQUATIONS; EQUIPMENT; LASERS; MAGNETS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS; TRANSFORMATIONS; 430303* - Particle Accelerators- Experimental Facilities & Equipment; 420300 - Engineering- Lasers- (-1989)

Citation Formats

Krinsky, S. Introduction to the theory of free electron lasers. United States: N. p., 1985. Web.
Krinsky, S. Introduction to the theory of free electron lasers. United States.
Krinsky, S. 1985. "Introduction to the theory of free electron lasers". United States. https://www.osti.gov/servlets/purl/6994769.
@article{osti_6994769,
title = {Introduction to the theory of free electron lasers},
author = {Krinsky, S},
abstractNote = {We present an introduction to some fundamental aspects of the theory of free electron lasers. Spontaneous radiation emitted by electrons traversing a wiggler magnet is briefly reviewed, and stimulated emission in the low-gain regime is discussed using Colson's pendulum equations and Madey's theorems. The high-gain regime is treated by an extention of the work of Bonifacio, Pellegrini, and Narducci. We introduce dynamical variables to describe the radiation field, and a Hamiltonian formulation of Maxwell's equations is employed. A canonical transformation to the interaction representation factors out the fast time variation of the radiation field, and the slow time dependence is determined by linearized equations for the appropriate collective variables. As an application of this technique we consider self-amplified spontaneous radiation, and we comment upon the relationship between our approach and the use of coupled Vlasov-Maxwell equations.},
doi = {},
url = {https://www.osti.gov/biblio/6994769}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1985},
month = {1}
}

Conference:
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