Centre manifold reduction of laser equations with transverse effects: an approach based on modal expansion


D'Alessandro, G., Kent, A.J. and Oppo, G.-L. (1996) Centre manifold reduction of laser equations with transverse effects: an approach based on modal expansion. Optics Communications, 131, (1-3), 172-194. (doi:10.1016/0030-4018(96)00366-5).

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Description/Abstract

Centre Manifold theory is a valuable method for analysing and simplifying partial differential equations that appear in the study of transverse effects in nonlinear optics. In this paper we analyse its application to the Maxwell-Bloch equations for lasers with spherical mirrors and finite size pumps. By taking advantage of the expansion in cavity modes, we successfully compare reduced models with the original one for broad ranges of the parameters.

Item Type: Article
Related URLs:
Subjects: Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29294
Date Deposited: 22 Dec 2006
Last Modified: 27 Mar 2014 18:17
URI: http://eprints.soton.ac.uk/id/eprint/29294

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