Distributions of temperature and thermoelastic stresses in a thin disk active element with an arbitrary optical density

Stationary distributions of temperature and thermoelastic stresses (thermal tensions) are obtained in an active disk element with an arbitrary optical density upon a double-pass pumping. It is shown that the temperature distribution is determined by the sum of three terms: two exponential and a linear one, the exponential terms being preserved with changing the boundary conditions while the linear term producing no thermal tensions changes. It is found that thermal tensions decrease with increasing the absorption coefficient both for the constant thickness of the disk and for the constant optical density. The assessed values of the temperature are calculated during the local heating of a thin disk when the diameter of the pumped region is comparable with the disk thickness.