title: Simple analytical derivations of thermal lensing in longitudinally Q-CW pumped Yb:YAG.
abstract: In this paper, we introduce analytical derivations for the thermal lensing of an end-pumped laser disk. These derivations are done for pump beam shapes from Gaussian to top hat, assuming that the thermal conductivity is either constant with the temperature or not. We give examples in two temperature regions, where the thermal conductivity exhibits T(-1) or T(-2) dependence. Numerical applications are given for a Q-CW pumped Yb:YAG disk laser.
authors.affiliation: Laboratoire pour l'Utilisation des Lasers Intenses (LULI), Unité Mixte no 7605 CNRS, CEA, EcolePolytechnique, Université Pierre et Marie Curie, Route de Saclay, F-91128 Palaiseau Cedex, France. gilbert.bourdet@polytechnique.edu
authors.forename: Gilbert L
authors.initials: GL
authors.lastname: Bourdet
authors.forename: Claude
authors.initials: C
authors.lastname: Gouédard