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

Giampaolo D'Alessandro*, Gian-Luca Oppo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)130-136
Number of pages7
JournalOptics Communications
Volume88
Issue number2-3
DOIs
Publication statusPublished - 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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