Exact and variational solutions of 3D eigenmodes in high gain FELs

被引：143

作者：

Xie, M ^{[1
]}

机构：

[1] Univ Calif Berkeley, Lawrence Berkeley Lab, Berkeley, CA 94720 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2000年 / 445卷 / 1-3期

关键词：

3D; high gain FEL theory; optical guiding; SASE;

D O I：

10.1016/S0168-9002(00)00114-5

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

Exact solution and variational approximation of eigenmodes in high gain FELs are presented. These eigenmodes specify transverse profiles and exponential growth rates of the laser field before saturation. They are self-consistent solutions of coupled Maxwell-Vlasov equations describing FEL interaction taking into account the effects due to energy spread, emittance and betatron oscillations of the electron beam, as well as diffraction and optical guiding of the laser field. A new formalism of scaling is introduced and based on which solutions in various limiting cases are discussed. In addition, a fitting formula is obtained from interpolating the variational solution for quick calculation of exponential growth rate of the fundamental mode. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：59 / 66

页数：8

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