It is important for the convergence of model wavefront-sensorless (WFSless) adaptive optics (AO) system that how to generate base functions and their numbers of order. The convergence speed of model WFSless AO system depends on the number of eigenmodes when eigenmodes of deformable mirrors (DM) are used as base functions of model WFSless AO system. In practice, lower order aberrations occupy the majority. In order to accelerate the convergence rate of model WFSless AO system, this paper uses partial low-order modes of eigenmodes as base functions of the system to analyze its convergence speed and correction capability. Simulation results demonstrate that the convergence speed of the system is improved to a certain extent regardless of the intensity of turbulence when the correct ion effect reaches 80% of all-order modes of eigenmodes. For the same wavefront aberration, the more the number of actuators is, the bigger the optimization of the convergence rate of the model WFSless AO system is.
Deformable mirror (DM) is a key component to the adaptive optics (AO) system. Its ability to fit the wavefront aberration determines the performance of the AO system. A wavefront sensorless adaptive optics (WFSless AO) system was used to investigate the fitting capability of a 97-element DM. We examined the fitting from the single order aberration of Zernike polynomial, combined aberration of Zernike polynomial and closed-loop correction, where the stochastic parallel gradient decent (SPGD) was used as close-loop correction algorithm. The results show that the 97-element DM has a good fitting ability to the first 3-54th single order of Zernike aberration. When the original wavefront RMS value was one wavelength, the residual wavefront aberration RMS was less than 0.4λ. The fitting to combine aberration of Zernike polynomial and closed-loop correction results based on the SPGD control algorithm show that the aberration was basically completely corrected when the wavefront aberration was small. When the wavefront aberration was relatively large, such as D/r0=20, the RMS of the residual wavefront aberration were smaller than 0.14λ (the initial RMS is 0.63λ). Above analysis results can provide theoretical basis and important reference for the practical application of the 97-element DM.
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