Open AccessSubtractive two-frame three-beam phase-stepping interferometry for testing surface shape of quasi-parallel plates
Author(s) -
Zofia Sunderland,
Krzysztof Patorski,
Maciej Trusiak
Publication year - 2016
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.24.030505
Subject(s) - subtractive color , optics , fourier transform , hilbert transform , interferometry , wavelet transform , robustness (evolution) , wavefront , phase (matter) , electronic speckle pattern interferometry , phase retrieval , mathematics , wavelet , physics , computer science , mathematical analysis , artificial intelligence , spectral density , biochemistry , statistics , chemistry , quantum mechanics , gene
We present an effective method of testing the surface shape of quasi-parallel plates which requires only two phase-shifted three-beam interferograms. We derive a general formula for difference of two three-beam interferograms as a function of the phase shift value. The phase shift does not have to be precisely determined and uniform in the image domain. We show and compare results of extracting the fringe set and corresponding phase distribution related to the plate front surface shape using the two dimensional continuous wavelet transform, Hilbert-Huang transform and Fourier transform methods. Simulated and experimental data is used to verify the algorithm performance and robustness.