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Study of a circular bimorph deformable mirror for circular/annulus/square laser beam compensation

We are performing a research on the application of an adaptive optics system to upgrade the beam quality of a laser. We consider the adaptive optics system to consist of a bimorph mirror, a Shack-Hartmann sensor and a control system. Since the laser beam can be circular, annulus or square/rectangle, we predicted the performance of a circular bimorph deformable for each different beam shapes. We selected a bimorph mirror of 120 mm clear aperture with 31 actuators as a design candidate. Firstly we found that the fitting ability of the bimorph mirror for a circular/annulus beam can significantly improve by limiting the correctable area to an annulus of 100mm outer diameter and 20mm inner diameter, which our square laser beam fits into. This study shows that the bimorph mirror, which might be considered as a modal controller, can compensate the square lower order aberrations with fitting abilities larger than 0.95 for tilt, defocus, coma and astigmatism, and 0.82 for spherical aberration. Finally we concluded that the circular bimorph mirror is perfectly okay for square laser beam compensating.