In this paper, a system of containing dual deformable mirrors (DMs) is proposed to adaptively conversion of input
beam with wave front distortion into near-diffraction-limited flattop beam based on the stochastic parallel gradient
descent (SPGD) algorithm. In the analysis, the wave front distortion of the input beam is chosen as the Zernike
representation of Kolmogoroff spectrum of turbulence. The whole shaping system is controlled by the SPGD algorithm.
One DM adaptively redistributes the intensity of the input beam and the other adaptively compensates the wave front of
the output beam. The near-diffraction-limited flattop beams with different parameters are realized by this technique. The
near-diffraction-limited square flattop beam retains an flattop intensity distribution without significant diffraction peaks
for a working distance of more than 60cm in the near field.
Laser beam shaping is required in many applications for improving the efficiency of the laser
systems. In this paper, the near field beam shaping based on the combination of simulated annealing
algorithm and Zernike polynomials is demonstrated. Considering phase distribution can be represented
by the expansion of Zernike polynomials, the problem of searching appropriate phase distribution can
be changed into a problem of optimizing a vector made up of Zernike coefficients. The feasibility of
this method is validated theoretically by translating the Gaussian beam into square quasi-flattop beam
in the near field. Finally, the closed control loop system constituted by phase only liquid crystal spatial
light modulator and simulated annealing algorithm is used to prove the validity of the technique. The
experiment results show that the system can generate laser beam with desired intensity distributions.
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