Slope boundary adjustment technique for zonal wavefront recovery method.

Abstract

This paper introduces a novel, to our knowledge, wavefront reconstruction algorithm that significantly improves the accuracy in boundary regions, a common source of error in traditional approaches. The proposed method enhances the edge performance by correcting wavefront slopes using Taylor's theorem and redefining the phase point integration process. Extensive numerical simulations were conducted using Zernike polynomial models and varying levels of Gaussian noise to assess both the accuracy and robustness of the proposed method. The results demonstrate that the method consistently outperforms conventional techniques, especially with regard to high-order aberrations and boundary areas while maintaining good noise resilience. Experimental validation involving the deflectometry measurements of a deformable mirror further confirms the method's practical effectiveness and applicability.