Gauss-Laguerre modes: a "sensible" basis for laser dynamics

Giampaolo D'Alessandro; Gian-Luca Oppo

doi:10.1016/0030-4018(92)90499-H

Gauss-Laguerre modes: a "sensible" basis for laser dynamics

Giampaolo D'Alessandro^*
, Gian-Luca Oppo

^*Corresponding author for this work

Physics

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

36 Citations (Scopus)

Abstract

Modal decomposition of a system of partial differential equations is a useful analytical and numerical tool. In particular, it is often desirable to describe complex spatio-temporal behaviours by restricting the analysis to the interaction of few suitably chosen modes. We show how the Gauss-Laguerre modes have this property for many laser states, and are thus a "sensible" basis onto which to project the laser equations.

Original language	English
Pages (from-to)	130-136
Number of pages	7
Journal	Optics Communications
Volume	88
Issue number	2-3
DOIs	https://doi.org/10.1016/0030-4018(92)90499-H
Publication status	Published - 15 Mar 1992

Funding

We acknowledge useful discussions with W.J. Firth, A. Politi, L.A. Lugiato, F. Prati, and M. Brambilla. This work was partially supported by SERC (Gr/F 12665) and by the EEC through a SCIENCE grant.

Keywords

partial differential equations
Gauss-Laguerre modes
spatio-temporal behaviours

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10.1016/0030-4018(92)90499-H

Cite this

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abstract = "Modal decomposition of a system of partial differential equations is a useful analytical and numerical tool. In particular, it is often desirable to describe complex spatio-temporal behaviours by restricting the analysis to the interaction of few suitably chosen modes. We show how the Gauss-Laguerre modes have this property for many laser states, and are thus a {"}sensible{"} basis onto which to project the laser equations.",

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AB - Modal decomposition of a system of partial differential equations is a useful analytical and numerical tool. In particular, it is often desirable to describe complex spatio-temporal behaviours by restricting the analysis to the interaction of few suitably chosen modes. We show how the Gauss-Laguerre modes have this property for many laser states, and are thus a "sensible" basis onto which to project the laser equations.

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KW - Gauss-Laguerre modes

KW - spatio-temporal behaviours

UR - https://www.scopus.com/pages/publications/0026824075

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Gauss-Laguerre modes: a "sensible" basis for laser dynamics

Abstract

Funding

Keywords

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