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 |
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Pages (from-to) | 130-136 |
Number of pages | 7 |
Journal | Optics Communications |
Volume | 88 |
Issue number | 2-3 |
DOIs | |
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