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Journal of Optical Technology

Journal of Optical Technology

| SIMULTANEOUS RUSSIAN-ENGLISH PUBLICATION

  • Vol. 80, Iss. 2 — Feb. 1, 2013
  • pp: 70–76

Technique for expanding lateral-shearing interferograms, based on the use of an expansion of the wave-front function in Chebyshev polynomials

A. Yu. Rodionov, G. I. Kurnel’, V. A. Markin, V. N. Shekhtman, and A. S. Shirin  »View Author Affiliations


Journal of Optical Technology, Vol. 80, Issue 2, pp. 70-76 (2013)
http://dx.doi.org/10.1364/JOT.80.000070


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Abstract

This paper proposes a technique for expanding lateral-shearing interferograms, based on a representation of the desired wave-front function in the form of a finite expansion series in orthogonal Chebyshev polynomials. The information losses accompanying the recording and interpretation of the shearing interferograms are analyzed, along with a way of reducing them. An iteration procedure is considered for finding the wave-front function from known difference functions, using the genetic algorithm. Its efficiency is demonstrated, using test calculations as an example.

© 2013 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry

History
Original Manuscript: June 1, 2012
Published: April 9, 2013

Citation
A. Yu. Rodionov, G. I. Kurnel’, V. A. Markin, V. N. Shekhtman, and A. S. Shirin, "Technique for expanding lateral-shearing interferograms, based on the use of an expansion of the wave-front function in Chebyshev polynomials," J. Opt. Technol. 80, 70-76 (2013)
http://www.opticsinfobase.org/jot/abstract.cfm?URI=jot-80-2-70

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