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Optical Engineering

Simple algorithms of wavefront reconstruction for cyclic radial shearing interferometer
Author(s): Dahai Li; Huaixin Chen; Zhenpei Chen
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Paper Abstract

Two new iterative algorithms to be used to reconstruct a tested wavefront from its cyclic radial shearing (CRS) fringe pattern are proposed. First, the phase difference (PHD) in the common area of the contracted and expanded tested wavefront are determined directly from the CRS fringe pattern of the tested wavefront by the Fourier transform method. Then, according to the PHD, the tested wavefront is reconstructed precisely by the two iterative algorithms. The numerical simulation of the reconstruction of a tested wavefront with distortion is implemented, showing that the wavefront reconstruction can be performed precisely by these algorithms with root mean square (rms)??/20. A CRS interferometer is constructed with a radial shearing ratio of s51:1.4 and is used to test a distorted wavefront with a one-step phase jump successfully. The results of numerical simulation and optical testing show that with these algorithms, the CRS interferometric technique can be easily used to make the evaluation of the optical component quality as well as testing of the wavefront distortion of a high-power laser. Finally, the convergence of two algorithms is also analyzed.

Paper Details

Date Published: 1 August 2002
PDF: 6 pages
Opt. Eng. 41(8) doi: 10.1117/1.1487854
Published in: Optical Engineering Volume 41, Issue 8
Show Author Affiliations
Dahai Li, Sichuan Univ. (China)
Huaixin Chen, Sichuan Univ. (China)
Zhenpei Chen, Sichuan Univ. (China)

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