УДК: 535.417

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

Rodionov, A.Y., Kurnel, G.I., Markin, V.A., Shekhtman, V.N., Shirin, A.S.

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Родионов А.Ю., Курнель Г.И., Маркин В.А., Шехтман В.Н., Ширин А.С. Методика расшифровки интерферограмм бокового сдвига, основанная на использовании разложения функции волнового фронта по полиномам Чебышева // Оптический журнал. 2013. Т. 80. № 2. С. 3–11.

Rodionov A.Yu., Kurnel G.I., Markin V.A., Shekhtman V.N., Shirin A.S. Technique for expanding lateral-shearing interferograms, based on the use of an expansion of the wave-front function in Chebyshev polynomials [in Russian] // Opticheskii Zhurnal. 2013. V. 80. № 2. P. 3–11.

For citation (Journal of Optical Technology):

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," Journal of Optical Technology. 80(2), 70-76 (2013). https://doi.org/10.1364/JOT.80.000070

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.

Keywords:

lateral shearing, shearing interferometer, genetic algorithm

OCIS codes: 120.3180

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