OSA's Digital Library

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


View Full Text Article

Acrobat PDF (1358 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. D. Malacara, ed., Optical Shop Testing (Wiley & Sons, New York, 1992; Mashinostroenie, Moscow, 1985).
  2. V. N. Shekhtman, A. Yu. Rodionov, and A. G. Pel’menev, “Reconstruction of the wave front of a light beam by a synthesized shearing interference pattern,” Opt. Spektrosk. 76, 988 (1994) [Opt. Spectrosc.76, 884 (1994)].
  3. V. N. Shekhtman, A. Yu. Rodionov, and A. G. Pel’menev, “Complete reconstruction of the wave front of a light beam using a synthesized shearing interferogram,” Opt. Spektrosk. 79, 134 (1995) [Opt. Spectrosc.79, 124 (1995)].
  4. C. Elster and I. Weingartner, “Solution to the shearing problem,” Appl. Opt. 38, 5024 (1999). [CrossRef]
  5. M. Servin, D. Malacara, and J. L. Marroquin, “Wave-front recovery from two orthogonal sheared interferograms,” Appl. Opt. 35, 4343(1996). [CrossRef]
  6. C. Elster and I. Weingartner, “Exact wave-front reconstruction from two lateral-shearing interferograms,” J. Opt. Soc. Am. A 16, 2281(1999). [CrossRef]
  7. Z. Yin, “Exact wavefront recovery with tilt from lateral-shear interferograms,” Appl. Opt. 48, 2760 (2009). [CrossRef]
  8. G. Harbers, P. J. Kunst, and G. W. R. Leibbrandt, “Analysis of lateral-shearing interferograms by use of Zernike polynomials,” Appl. Opt. 35, 6162 (1996). [CrossRef]
  9. S. Okuda, T. Nomura, K. Kamiya, H. Miyashiro, K. Yoshikawa, and H. Tashiro, “High-precision analysis of a lateral-shearing interferogram by use of the integration method and polynomials,” Appl. Opt. 39, 5179 (2000). [CrossRef]
  10. C. Elster, “Exact two-dimensional wave-front reconstruction from lateral-shearing interferograms with large shears,” Appl. Opt. 39, 5353 (2000). [CrossRef]
  11. V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited