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Spectral/Hermite Approximations and Transient Growth for the Actively Mode-Locked Laser

by

Professor Kelly Black
Union College

February 28, 2005
4:30 pm
Blue House

Tea and pastries will be served


Abstract:

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 stability of the method is discussed. Numerical comparisons with a finite difference scheme are also presented. Finally, we present comparisons of the bounds on the transient growth between the theoretical growth rates and numerical experiments.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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