Centre manifold reduction of laser equations with transverse effects: an approach based on modal expansion
Centre manifold reduction of laser equations with transverse effects: an approach based on modal expansion
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.
172-194
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Kent, A.J.
0584538c-4e29-49a1-b5f3-e33b42a5b497
Oppo, G.-L.
2ea5ad15-e5f5-453b-94ad-2a2101b22144
1996
D'Alessandro, G.
bad097e1-9506-4b6e-aa56-3e67a526e83b
Kent, A.J.
0584538c-4e29-49a1-b5f3-e33b42a5b497
Oppo, G.-L.
2ea5ad15-e5f5-453b-94ad-2a2101b22144
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), .
(doi:10.1016/0030-4018(96)00366-5).
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.
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Published date: 1996
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Local EPrints ID: 29294
URI: http://eprints.soton.ac.uk/id/eprint/29294
ISSN: 0030-4018
PURE UUID: d9b28204-5c38-48fb-8472-8023b048723e
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Date deposited: 22 Dec 2006
Last modified: 16 Mar 2024 02:48
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Author:
A.J. Kent
Author:
G.-L. Oppo
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