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
(120.3180) Instrumentation, measurement, and metrology : Interferometry
Original Manuscript: June 1, 2012
Published: April 9, 2013
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)