Method for measuring response matrix of liquid crystal corrector through least square method

Abstract

The invention belongs to the field of adaptive optics and provides a method for measuring a response matrix of a liquid crystal corrector through a least square method. Zernike mode wave surfaces composed of large quantity of random coefficients are adopted in the method, the calculated wave surfaces are sequentially applied to the liquid crystal corrector, and light dot matrix slope data corresponding to the wave surfaces are sequentially detected through a Hartmann wavefront detector to form a measurement matrix. Furthermore, errors in measurement are eliminated through the calculation relation between the measurement matrix and a response matrix and the least square matrix method, and an accurate response matrix is obtained. Fiber optic bundle self-adaption correction imaging under turbulent flow interference is conducted through the response matrixes of conventional measurement and least square method measurement respectively. As shown in the figure, (a) is before correction, and (b) and (c) respectively correspond to imaging effects of the two methods before and after. It can be seen that the response matrixes measured through statistics in the least square method indeed enable imaging definition to be improved, and the crest of (c) is three times that of the (b) according to radial average power detection.

Description

technical field [0001] The invention belongs to the field of adaptive optics and relates to a method for measuring the response matrix of a liquid crystal wavefront corrector by a least square method. It involves the statistical idea of ​​the least square method and the matrix operation method of large amount of data. Specifically, it is a method of measuring the response matrix of the liquid crystal wavefront corrector by the least square method of eliminating random errors through a large number of measurements and statistical operations. Background technique [0002] The liquid crystal adaptive optics system can compensate and correct the optical wavefront distortion caused by the atmosphere in real time and restore the high-resolution imaging of the telescope, so it has important applications in large-aperture ground-based telescopes. [0003] The adaptive optics system usually docked with the telescope is based on two correctors for rough correction and fine correction ...

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Problems solved by technology

[0009] Therefore, the measurement accuracy of the response matrix is ​​easily disturbed by various random factors. One is the expression error of the liquid crystal wavefront corrector for each Zernike mode wavefront, especially the high-order mode wavefront, and the other is the inability of the Hartmann wavefront detector. The third is the influence of factors such as air flow in the environment, and the error of the response matrix will cause the wavefront reconstruction standard to drift, resulting in the deterioration of the liquid crystal adaptive optics imaging effect

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