The problem of calculating the stable resonators of solid-state lasers forming a Gaussian beam with variable spatial parameters (waist diameter, confocal parameter, angular divergence) with the energy parameters of the radiation unchanged is considered. The scheme of the optical system of a resonator of a solid-state laser to solve this task is presented. By the ray bundle method and on the base of scalar diffraction theory, the problem of calculating the characteristics of a laser beam formed by linear resonators of arbitrary configuration taking into account the aberrations of its elements is considered. The results of modeling the mirror-lens resonator scheme for varying the spatial parameters of the output beam by the ray bundle method are presented. For stable resonators approximate analytical expressions are obtained, which allow to calculate the distribution of the complex amplitude on mirrors and in an arbitrary cross section of the resonator, the spatial parameters of beam and the frequency spectrum of the radiation for a rectangular and circular aperture of mirrors. The configurations of resonators in which the aberrations of the shape of the surface of mirrors have a significant effect on the characteristics of the formed laser radiation are determined.
42.60.Da Resonators, cavities, amplifiers, arrays, and rings
42.60.By Design of specific laser systems
$^1$Bauman Moscow State Technical University
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