Influence of Gaussian function index of deformable mirror on iterative algorithm adaptive optical system

Cheng, Sen; Chen, Shanqiu; Dong, Lizhi; Wang, Shuai; Yang, Ping; Ao, Mingwu; Xu, Bing

doi:10.7498/aps.64.094207

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…In a conventional DM, the correction algorithm calculates the deformation of each actuator (z direction) [14,15]. While in the DM group with movable actuators, in addition to deformation in z axis, position of each actuator (x and y directions) should also be calculated out.…”

Section: Actuator-distribution Algorithm Of Dm Groupmentioning

confidence: 99%

Global actuator-distribution algorithm realized by a deformable mirror group for high precision aberration correction in laser optics system

Lei¹

2020

Laser Phys.

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A novel algorithm for high precision wavefront correction in adaptive optics is proposed in this paper. The process of the new global optimization distribution algorithm (GODA) is detailed described and compared with the existing stochastic parallel perturbation algorithm (SPPA). A deformable mirror (DM) group that could realize the algorithm is also introduced. It is made up of a number of single-actuator DMs. In the DM group, each actuator could have three dimensional movements-deformation in z direction and movements in x and y directions, making the equivalent actuator arrangement alterable. Simulations are carried out to verify the correction ability of the new algorithm realized by DM group. By comparing correction results of conventional DM, DM group with SPPA and GODA, the correction ability of DM group with GODA is proved to be better than SPPA and conventional DM.

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Section: Actuator-distribution Algorithm Of Dm Groupmentioning

confidence: 99%

Global actuator-distribution algorithm realized by a deformable mirror group for high precision aberration correction in laser optics system

Lei¹

2020

Laser Phys.

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Complex exponential reconstruction algorithm accelerated by cascadic multigrid method

Wang¹,

Dong²,

Yang³

et al. 2019

Acta Phys. Sin.

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When laser beam propagates through the turbulent atmosphere, there are branch points in wavefront, which are caused by deep turbulence or long propagation distance. Conventional least-square reconstruction algorithms cannot restore the discontinuous wavefront, which severely limits correction performance of an adaptive optics system. If the incoming wavefront contains a branch cut, there is <inline-formula><tex-math id="M1">\begin{document}$ {\rm{2}}n{\text{π}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="10-20182137_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="10-20182137_M1.png"/></alternatives></inline-formula> difference between the measured phase difference and the principle phase difference, which is the reason why conventional least-square reconstruction algorithms cannot reconstruct wavefront with branch points. The complex exponential reconstructor is developed to restore the discontinuous wavefront with phase difference replaced by complex exponents. However, thousands of iterations are required by the complex exponential reconstructor before converging to an acceptable solution. In order to speed up the iterative calculation, the cascadic multigrid method (CMG) is introduced in the process of wavefront reconstruction. The proposed method can be used to restore discontinuous wavefront with lower residual error similar to those reconstructed by the direct iteration. The number of float point multiplications required by the CMG method is nearly 2 orders of magnitude lower than that required by the direct iteration. The acceleration of the CMG method increases with the number of subapertures increasing. The performance of CMG method to recover continuous wavefront is also investigated and compared with conventional wavefront reconstruction algorithm based on successive over-relaxation. It is shown that the CMG method has good capability for wavefront reconstruction with high precision and low computation cost no matter whether it is applied to discontinuous or continuous wavefront. Furthermore, the CMG method is used in the adaptive optics for correcting the turbulence aberration. The direct slope wavefront reconstruction algorithm based on the assumption that the measured slope and the control voltage satisfy the linear relationship cannot restore the wavefront with branch points. As a result, the adaptive optics system with the CMG method doubles the correction quality evaluated by the Strehl ratio compared with that with the direct slope wavefront reconstruction algorithm.

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Influence of Gaussian function index of deformable mirror on iterative algorithm adaptive optical system

Cited by 2 publications

References 11 publications

Global actuator-distribution algorithm realized by a deformable mirror group for high precision aberration correction in laser optics system

Global actuator-distribution algorithm realized by a deformable mirror group for high precision aberration correction in laser optics system

Complex exponential reconstruction algorithm accelerated by cascadic multigrid method

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