Open AccessPhase retrieval by Euclidean distance in self-calibrating generalized phase-shifting interferometry of three steps
Author(s) -
Cruz Meneses-Fabián,
Francisco Alejandro Lara-Cortes
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.013589
Subject(s) - ellipse , euclidean distance , phase (matter) , phase retrieval , optics , computation , tangent , parametric statistics , interferometry , point (geometry) , algorithm , mathematics , computer science , mathematical analysis , physics , geometry , fourier transform , statistics , quantum mechanics
This paper presents a novel algorithm for phase extraction based on the computation of the Euclidean distance from a point to an ellipse. The idea consists in extracting the intensities from a data row or column in three interferograms to form points of intensity and then fitting them to an ellipse by the method of least squares. The Euclidean distance for each intensity point is computed to find a parametric phase whose value is associated to the object phase. The main advantage of the present method is to avoid the use of tangent function, reducing the error in the desired phase computation.