Open AccessA method to design tunable quadrature filters in phase shifting interferometry
Author(s) -
J. F. Mosiño,
D. Malacara Doblado,
Daniel Malacara Hernández
Publication year - 2009
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.17.015772
Subject(s) - quadrature mirror filter , quadrature (astronomy) , interferometry , optics , fourier transform , linear phase , linear filter , prototype filter , filter design , filter (signal processing) , computer science , mathematics , algorithm , physics , mathematical analysis , computer vision
The main purpose of this paper is to present a method to design tunable quadrature filters in phase shifting interferometry. The algorithm is obtained from a generalized Fourier transform of a symmetrical quadrature filter. This formalism allows us to represent the detuning phase shift error and bias modulation as geometrical conditions. Therefore, the design of the filter becomes a set of solvable linear equations. Hence, to prove our method, several general tunable filters, like three and four frame algorithms, are obtained. Finally, from our results we reproduce particular symmetrical four frame algorithms reported in literature.