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

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  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)].
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  11. V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

2009 (1)

2000 (2)

1999 (2)

1996 (2)

Elster, C.

Emel’yanov, V. V.

V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

Harbers, G.

Kamiya, K.

Kunst, P. J.

Kureichik, V. M.

V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

Kureichik, V. V.

V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

Leibbrandt, G. W. R.

Malacara, D.

Marroquin, J. L.

Miyashiro, H.

Nomura, T.

Okuda, S.

Pel’menev, A. G.

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)].

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)].

Rodionov, A. Yu.

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)].

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)].

Servin, M.

Shekhtman, V. N.

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)].

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)].

Tashiro, H.

Weingartner, I.

Yin, Z.

Yoshikawa, K.

Appl. Opt. (6)

J. Opt. Soc. Am. A (1)

Opt. Spektrosk. Opt. Spectrosc. (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)].

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)].

Other (2)

V. V. Emel’yanov, V. V. Kure?chik, and V. M. Kure?chik, Theory and Practice of Evolution Modelling (Fizmatlit, Moscow, 2003).

D. Malacara, ed., Optical Shop Testing (Wiley & Sons, New York, 1992; Mashinostroenie, Moscow, 1985).

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