Abstract

A new method is presented for the reconstruction of a one-dimensional wave front on the basis of difference measurements from two shearing interferograms. The proposed algorithm reconstructs any wave front exactly up to an arbitrary constant. The method is not restricted to small shears. However, the shearing parameters have to be chosen such that certain constraints are satisfied. A procedure for determining such shearing parameters is given. In addition, it is shown that the procedure is stable with respect to noise introduced into the differences.

© 1999 Optical Society of America

Exact two-dimensional wave-front reconstruction from lateral shearing interferograms with large shears

Clemens Elster
Appl. Opt. 39(29) 5353-5359 (2000)

Two-dimensional wave-front reconstruction from lateral shearing interferograms

Peiying Liang, Jianping Ding, Zhou Jin, Cheng-Shan Guo, and Hui-tian Wang
Opt. Express 14(2) 625-634 (2006)

Solution to the shearing problem

Clemens Elster and Ingolf Weingärtner
Appl. Opt. 38(23) 5024-5031 (1999)

Two-dimensional wavefront reconstruction from lateral multi-shear interferograms

Yun-feng Guo, Hao Chen, Ji Xu, and Jianping Ding
Opt. Express 20(14) 15723-15733 (2012)

Exact wavefront recovery with tilt from lateral shear interferograms

Zi-qiang Yin
Appl. Opt. 48(14) 2760-2766 (2009)