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

G. D'Alessandro; A. J. Kent; G. L. Oppo

doi:10.1016/0030-4018(96)00366-5

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

G. D'Alessandro, A. J. Kent, G. L. Oppo

Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	172-194
Number of pages	23
Journal	Optics Communications
Volume	131
Issue number	1-3
DOIs	https://doi.org/10.1016/0030-4018(96)00366-5
Publication status	Published - 15 Oct 1996

Keywords

transverse effects
modal expansion
Centre Manifold theory
partial differential equations
nonlinear optics
Maxwell-Bloch equations

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10.1016/0030-4018(96)00366-5

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

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.",

keywords = "transverse effects, modal expansion, Centre Manifold theory, partial differential equations, nonlinear optics, Maxwell-Bloch equations",

author = "G. D'Alessandro and Kent, {A. J.} and Oppo, {G. L.}",

note = "Funding Information: This work has been partially supported by EPSRC (grants J/30998, G/12665) and the EEC via an Esprit grant TONICS (BR 7118). G.D. was supported by a Royal Society and a European Union grant and by a",

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T2 - an approach based on modal expansion

AU - D'Alessandro, G.

AU - Kent, A. J.

AU - Oppo, G. L.

N1 - Funding Information: This work has been partially supported by EPSRC (grants J/30998, G/12665) and the EEC via an Esprit grant TONICS (BR 7118). G.D. was supported by a Royal Society and a European Union grant and by a

PY - 1996/10/15

Y1 - 1996/10/15

N2 - 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.

AB - 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.

KW - transverse effects

KW - modal expansion

KW - Centre Manifold theory

KW - partial differential equations

KW - nonlinear optics

KW - Maxwell-Bloch equations

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DO - 10.1016/0030-4018(96)00366-5

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SN - 0030-4018

VL - 131

SP - 172

EP - 194

JO - Optics Communications

JF - Optics Communications

IS - 1-3

ER -

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

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Keywords

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