J. Phys. I France
Volume 3, Numéro 3, March 1993
Page(s) 717 - 732
DOI: 10.1051/jp1:1993157
J. Phys. I France 3 (1993) 717-732

Numerical model of transient thermal effects in high power optical resonators

Patrice Hello1, 2 and Jean-Yves Vinet1

1  Laboratoire d'Optique Appliquée, Ecole Polytechnique, ENSTA, Centre de l'Yvette, 91120 Palaiseau, France
2  Laboratoire de l'Accélérateur Linéaire, Groupe VIRGO, Bâtiment 208, Université d'Orsay, 91405 Orsay, France

(Received 17 July 1992, accepted in final form 5 October 1992)

We present a non-linear model of a Fabry-Perot resonator where the stored power can heat the mirrors and induce thermal aberrations, which, in turn, change the resonant wave. We first describe a sequential modelling of the temperature evolution, thermal aberrations and stored power; this model is then implemented with the help of a numerical propagation code. We give numerical examples in the field of cavities involved in gravitational wave interferometric antennas, for which thermal problems may arise and restrict their sensitivity.

42.20 - 42.78 - 04.80

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