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A discrete phase‐unwrapping technique for interferograms
Author(s) -
Ahmad Falih H.,
Helms Gary L.,
Castellane Ray M.,
Durst Bartley P.
Publication year - 2001
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10102
Subject(s) - phase unwrapping , legendre polynomials , collocation (remote sensing) , phase (matter) , mathematics , algebraic equation , set (abstract data type) , mathematical analysis , interferometry , gauss , nonlinear system , computer science , optics , physics , quantum mechanics , machine learning , programming language
A discrete technique for phase unwrapping is presented. The technique is based on constructing the mth‐degree interpolating polynomials to approximate the involved functions using Legendre–Gauss–Lobatto collocation nodes. The relationship between the known wrapped phase and the unknown unwrapped phase and that between their derivatives are converted into a set of linear algebraic equations. This set of equations is solved for the unknown coefficients to produce the unwrapped phase. A numerical example is included to demonstrate the performance of the technique, where a comparison is made with exact results. © 2002 John Wiley & Sons, Inc. Microwave Opt Technol Lett 32: 101–104, 2002.