Method of building coefficient transfer matrix between Zernike polynomial aberration model and Walsh function aberration model

Abstract

The invention provides a method of building a coefficient transfer matrix between a Zernike polynomial aberration model and a Walsh function aberration model. According to a linear relation of the Zernike polynomial coefficient and each Walsh function coefficient, coefficient matrix, expanded by Walsh function, of each Zernike polynomial is ensured so as to realize interconversion between a Zernike polynomial aberration model coefficient and a Walsh function aberration model coefficient. If a Walsh function order with a bigger coefficient absolute value is chosen, transfer matrix is reconstructed so as to reduce effectively scale of the coefficient transfer matrix of the coefficient and obtain the Zernike polynomial coefficient information by coefficient information of fewest and optimal Walsh function order. By only detecting one kind of aberration model coefficient, another coefficient corresponding to an aberration model can be ensured by the transfer matrix, wavefront phase distortion can be described by the two kinds of the aberration models respectively in order to achieve the goal of complementing advantages of the two kinds of the aberration models, meanwhile, certain help can be provided for development of a novel wavefront sensor technology.

Description

technical field [0001] The invention relates to a method for constructing a coefficient conversion matrix between two different aberration modes, in particular to a method for constructing a coefficient conversion matrix between a Zernike polynomial aberration mode and a Walsh function aberration mode, which is used for adaptive optics In the system wavefront sensor. Background technique [0002] Wavefront sensing technology, as the name implies, is a technical means of measuring the phase of the wavefront of light waves. Optical wavefront phase information is important data in the fields of optical detection, optical communication, and optical systems, and how to describe the optical wavefront and its aberration components is also a very important issue. Usually people are accustomed to use the form of power series expansion to describe the aberration of the optical system. Since the Zernike polynomial is complete, its form is consistent with the common aberration form ob...

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Problems solved by technology

However, Feiling Wang also pointed out in the article that this method can only use limited-order Walsh functions in actual use. The limited spatial frequency of these Walsh functions will cause large residual errors when restoring common continuous wave fronts. Improve restoration by increasing the order of the Walsh function

However, the increase in the order of the Walsh function will increase the complexity of wavefront restoration calculations, and at the same time greatly weaken the speed advantage of Feiling Wang's method, and even simple continuous aberrations such as tilt or defocus, theoretically, there are infinitely many Only the first-order Walsh function can be accurately restored. From this point of view, compared with the Zernike polynomial expansion method, the Walsh function expansion method still has a certain disadvantage in the recovery effect of the wavefront phase.

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