Spectral hermite approximations for the actively mode-locked laser

被引：4

作者：

Black K. ^{[1
]}

Geddes J.B. ^{[2
]}

机构：

[1] Department of Mathematics and Statistics, Utah State University

[2] Department of Mathematics and Statistics, University of New Hampshire

来源：

Journal of Scientific Computing | 2001年 / 16卷 / 2期

关键词：

Hermite polynomials; Mode-locked laser; Spectral method;

D O I：

10.1023/A:1012289822006

中图分类号：

学科分类号：

摘要：

An approximation technique for the governing equations for the mode-locked laser is examined. The technique centers on a transformation of the governing equations in which the resulting equations closely resemble the Hermite equation. The approximation of the system is constructed through a linear combination of Hermite polynomials resulting in a Hermite-spectral method. The rate of decay of the resulting modes is examined for a simplified problem and difficulties in showing the stability of the method are also discussed. Numerical comparisons with a finite difference scheme are also presented. © 2001 Plenum Publishing Corporation.

引用

页码：81 / 120

页数：39

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