Retrieval of phase distributions from the quadriwave lateral shearing interferogram obtained by randomly encoded hybrid grating

Tong Ling; Yongying Yang; Dong Liu; Xiumei Yue; Jiabin Jiang

doi:10.1117/12.2195822

12 October 2015 Retrieval of phase distributions from the quadriwave lateral shearing interferogram obtained by randomly encoded hybrid grating

Tong Ling, Yongying Yang, Dong Liu, Xiumei Yue, Jiabin Jiang

Author Affiliations +

Proceedings Volume 9633, Optifab 2015; 96332G (2015) https://doi.org/10.1117/12.2195822
Event: SPIE Optifab, 2015, Rochester, New York, United States

Abstract

A wavefront retrieval method for the quadriwave lateral shearing interferogram obtained by randomly encoded hybrid grating (REHG) is proposed. The REHG consists of a binary amplitude grating and a phase chessboard, and the Faunhofer diffractions of this grating only contain the ±1 orders in two orthogonal directions. As a result, no order selection mask is ever needed by the REHG for quadriwave lateral shearing interference. To retrieve the phase distributions from the REHG interferograms, fast Fourier transform (FFT) technique is employed at first to get the frequency spectrum. By performing inverse fast Fourier transform (IFFT) of the +1 order spectrum in the x and y directions, it is possible to extract shearing wavefronts from the interferogram in both two orthogonal directions. Using the translation property of Fourier transform, the relationship between the Fourier spectrum of the shearing wavefronts and the Fourier spectrum of the wavefront under test is deduced. The wavefront under test is retrieved by establishing an evaluation function firstly and finding the minimum value with least-square-solution. Analysis and compensations are made to reduce the errors in the testing results. Simulation experiments have shown that this method can retrieve different phase distributions without losing high-frequency information.

Citation Download Citation

Tong Ling, Yongying Yang, Dong Liu, Xiumei Yue, and Jiabin Jiang "Retrieval of phase distributions from the quadriwave lateral shearing interferogram obtained by randomly encoded hybrid grating", Proc. SPIE 9633, Optifab 2015, 96332G (12 October 2015); https://doi.org/10.1117/12.2195822

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