Statistical processing of Newton's rings fringe pattern using the Fresnel transform

Abstract

This paper presents a numerical method for processing the fringes obtained when two waves, with a quadratic phase difference function, interfere. As a particular case of this kind of fringes are the Newton's rings. The numerical method we present is based on the discrete Fresnel (Fourier) transform of the data and it has the same precision as the least square fitting (LSF).