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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 22 — Aug. 1, 1996
  • pp: 4343–4348

Wave-front recovery from two orthogonal sheared interferograms

M. Servin, D. Malacara, and J. L. Marroquin  »View Author Affiliations


Applied Optics, Vol. 35, Issue 22, pp. 4343-4348 (1996)
http://dx.doi.org/10.1364/AO.35.004343


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Abstract

We present a new technique for using the information of two orthogonal lateral-shear interferograms to estimate an aspheric wave front. The wave-front estimation from sheared inteferometric data may be considered an ill-posed problem in the sense of Hadamard. We apply Thikonov regularization theory to estimate the wave front that has produced the lateral sheared interferograms as the minimizer of a positive definite-quadratic cost functional. The introduction of the regularization term permits one to find a well-defined and stable solution to the inverse shearing problem over the wave-front aperture as well as to reduce wave-front noise as desired.

© 1996 Optical Society of America

History
Original Manuscript: July 18, 1995
Revised Manuscript: February 5, 1996
Published: August 1, 1996

Citation
M. Servin, D. Malacara, and J. L. Marroquin, "Wave-front recovery from two orthogonal sheared interferograms," Appl. Opt. 35, 4343-4348 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-22-4343

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