An absolute testing method of shift-rotationbased on the influence function

The absolute testing of an optical surface with the shift-rotation method is an effective way to obtain an optical surface with high accuracy. The traditional shift-rotation method based on Zernike polynomials has a large number of computations and poor fitting accuracy for high frequency. Additionally, the number of calculations of the pixel-level spatial frequency method in solving the test and reference error based on each pixel is too large, which leads to poor practicability in reality. An optimized absolute testing method of shift-rotation based on the influence function is presented in this paper. By introducing the concept of the influence function in adaptive optics instead of a Zernike polynomial, the calculation accuracy of the mid-and high-frequency surface is improved, and higher precision of the absolute surface can be obtained. Relevant theoretical simulation and experimental verification are carried out. The experimental results compared with the Zernike and pixel-level methods show that the reference and test surface can be well reconstructed by using the proposed shift-rotation method based on the influence function.