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

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.