Optimization of transverse translation diverse phase retrieval for optical elements with mid-spatial frequency errors

Lei Zhao; Xiao Huang; Jian Bai; Xiangdong Zhou; Yupeng Luo; Juan Du; Yujie Luo

doi:10.1117/12.2505708

12 December 2018 Optimization of transverse translation diverse phase retrieval for optical elements with mid-spatial frequency errors

Lei Zhao, Xiao Huang, Jian Bai, Xiangdong Zhou, Yupeng Luo, Juan Du, Yujie Luo

Author Affiliations +

Proceedings Volume 10847, Optical Precision Manufacturing, Testing, and Applications; 1084711 (2018) https://doi.org/10.1117/12.2505708
Event: International Symposium on Optoelectronic Technology and Application 2018, 2018, Beijing, China

Abstract

During the fabricating procedure of optical elements, computer-controlled tools will introduce some periodic structured errors, named mid-spatial frequency errors, which may scatter the laser beams, create filamentous spots or even damage the optical components in Inertial Confinement Fusion (ICF) high power laser system. Transverse translation diverse phase retrieval (TTDPR) is an ingenious phase retrieval method for measuring aspheric and freeform surfaces. In this paper, we explore the measurement of optical elements with mid-spatial frequency errors by using TTDPR. First, we briefly introduce the features of mid-spatial frequency errors and establish the relation between mid-spatial frequency errors and diffraction pattern. Second, with the knowledge of the mid-spatial frequency error, we analyze the feasibility of optical elements with mid-spatial frequency error measurement by using TTDPR. In order to improve the convergence and measurement accuracy of phase retrieval algorithm, initial inputs are optimized for the following iterative phase retrieval algorithm. Results indicate that a 50% higher reconstruction accuracy can be achieved, when the initial input is the ideal lens to recover the phase of lens with mid-spatial frequency errors. For TTDPR, sub-aperture illuminated with overlapping part among adjacent sub-apertures will improve accuracy of iterative phase algorithm than never overlapped sub-aperture, while it encumbers the efficiency of iterative phase retrieval algorithm. Based on the characteristics of the particular optical surfaces, the influence of major parameter of sub-aperture including the size of sub-aperture and the overlapped proportion among adjacent sub-aperture to accuracy and efficiency of TTDPR are also discussed.

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Lei Zhao, Xiao Huang, Jian Bai, Xiangdong Zhou, Yupeng Luo, Juan Du, and Yujie Luo "Optimization of transverse translation diverse phase retrieval for optical elements with mid-spatial frequency errors", Proc. SPIE 10847, Optical Precision Manufacturing, Testing, and Applications, 1084711 (12 December 2018); https://doi.org/10.1117/12.2505708

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KEYWORDS

Optical components

Phase retrieval

Diffraction

Error analysis

Wavefronts

Optical testing

Phase measurement

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