Abstract
Knowledge about the temperature distribution inside solid-state laser crystals is essential for calculation of thermal phase shift, thermal lensing, thermally induced birefringence, and heat-induced crystal bending. Solutions for the temperature distribution for the case of steady-state heat loading have appeared in the literature only for simple cylindrical crystal shapes and are usually based on numerical techniques. For the first time, to our knowledge, a full analytical solution of the heat equation for an anisotropic cubic cross-section solid-state crystal is presented. The crystal is assumed to be longitudinally pumped by a Gaussian pump profile. The pump power attenuation along the crystal and the real cooling mechanisms, such as convection, are considered in detail. A comparison between our analytical solutions and its numerical counterparts shows excellent agreement when just a few terms are employed in the series solutions.
© 2008 Optical Society of America
Full Article | PDF ArticleMore Like This
Mohammad Sabaeian
Appl. Opt. 51(30) 7150-7159 (2012)
Mostafa Mohammad Rezaee, Mohammad Sabaeian, Alireza Motazedian, Fatemeh Sedaghat Jalil-Abadi, and Ali Khaldi-Nasab
Appl. Opt. 54(6) 1241-1249 (2015)
Norman Hodgson and Andrea Caprara
Appl. Opt. 55(19) 5110-5117 (2016)