Direct synthesis of the laser beam with pre-determined intensity distribution by means of intracavity beam shaping

Abstract

We consider a problem of direct synthesis of the laser beam with predetermined intensity distribution, by means of intracavity adaptive optics. The mathematical formulation of the problem is reduced to the study of the solutions of the resonator equation, expressed in terms of the field amplitudes and phases inside the resonator, and the parameters of resonators that includes the deformable mirror. It is shown that, with some assumptions, the shape of the deformable mirror can be expressed as a function of the output intensity distribution. The results of direct numerical simulations agree with the obtained analytical estimates. Experimental verification is in progress.