SYNTHESIS OF LASER RESONATOR CONFIGURATIO N AS AN INVERSE PROBLEM IN OPTICS

A search for and a choice of laser resonator configuration has been tr eated as an optical inverse problem. The resonator configuration, i.e. , the complex coefficients of reflection from resonator mirrors, is fo und from the given distribution of radiation amplitude and/or phase wi thin the output aperture plane. Closed integral equations for determin ation of complex coefficients of reflection have been obtained, and ex act analytical solutions of these equations have been found in specifi c cases. A resonator mirror deformation algorithm to be used for laser radiation power control has been developed. as an optical inverse pro blem for the synthesis of laser resonator configuration in accordance with the required phase distribution of output radiation. The results of numerical simulation of output radiation power of controlled resona tors are presented together with axial radiation intensity in the far- field zone. It has been shown that the choice of the resonator with on e or two mirrors should depend primarily on the ease of manufacture of deformable mirrors and control systems.