Complex Valued Spectral Hermite Approximations for the Actively Mode-Locked Laser

被引：0
作者：
Kelly Black
John B. Geddes
机构：
[1] Union College,Department of Mathematics
[2] Franklin W. Olin College of Engineering,undefined
来源：
Journal of Scientific Computing | 2007年 / 32卷
关键词：
Hermite polynomials; Mode-locked laser; Spectral method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a numerical approximation of the governing equations of an actively mode-locked laser. The governing equation is complex valued and a novel scaling is employed that is designed to simplify the associated line integral in the complex plane. The resulting approximation is based on a set of shifted Hermite polynomials on an infinite line. Numerical comparisons are given with a finite difference scheme on a mapped domain as well as a finite element method on a truncated domain.
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页码：427 / 448
页数：21
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