The influence of a local refractive index profile on transverse modes in stable resonators

Due to the dependence of the refractive index on the temperature and the in version of an active medium in an end-pumped solid-state laser, a local ref ractive index profile is induced at the position of pumping. The overlap of this refractive index profile with the transverse modes is different for e ach mode index; thus, the transverse structure and the Frequencies of the m odes are changed in a different manner. In the present paper a method is in troduced for obtaining the mode structure and the frequencies of transverse modes in existence of a local refractive index profile.