Abstract:Comparing with hill-climbing algorithm,genetic algorithm can make global optimization.To investigate the wave-front shaping capability of genetic algorithm,the model of laser wave-front shaping system is constructed by distortion wave-front described by 12 Zernike polynomials and 32-unit deformable mirror.Two constant matrixes are obtained with orthogonality of Zernike polynomials in unit circle,which can simplify computations and speed up the running time of algorithm.Then Strehl ratio and the shaping effect after 1000,10000 and 100000 generations are respectively simulated.The results are that:after 100000 generations Strehl ratio,difference between peak and valley value,root mean square of initial wave-front distortion are respectively shaped from 0.3771 to 0.9049,0.8078λ to 0.3758λ,0.1572λ to 0.0503λ.And the Strehl ratio and the shaping effect all gradually approach to the optimization when generation accelerates.Furthermore,it shows that genetic algorithm is a kind of approaching optimization control algorithm and can achieve to shape laser wave-front by control the voltage of deformable mirror.It provide theoretic basis for wave-front shaping technology with genetic algorithm.