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Towards a general theory for MxN pixelated carrier interferometry
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Paper Abstract

Pixelated phase-mask (PPM) interferometers have become an industry standard for instantaneous phase-shifting interferometry. In commercially available PPM interferometers, an array with 2x2 unit-cells is used, which codify up-to 4 phase-steps within a single PPM interferogram. Recently we have shown that such 2x2 unit-cell arrays allows a harmonic rejection as good as the 4-step leastsquares phase-shifting algorithm (LS-PSA); this harmonics rejection is relatively-low and may not be enough to correctly demodulate some severely intensity distorted fringe patterns. In previous works we have proposed a new PPM with a 3x3 unit-cell to improve the harmonics rejection of the 2x2 array. With this new 3x3 unit-cell one is able to reject as many harmonics as with a 9-step LS-PSA10. In this paper we are extending the analysis of MxN unit-cell synchronous demodulation of PPM. The new results allow us to answer some important open questions about the method: for a given configuration, which harmonics cannot be rejected and why? Why, prior to low-pass filtering, we observe multiple copies of the interferogram’s spectrum and what does this imply? We believe these preliminary results are important contributions towards a formulation of a general theory MxN unit-cell pixelated carrier interferometry.

Paper Details

Date Published: 13 September 2012
PDF: 9 pages
Proc. SPIE 8493, Interferometry XVI: Techniques and Analysis, 849315 (13 September 2012); doi: 10.1117/12.929341
Show Author Affiliations
J. M. Padilla, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
M. Servin, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
J. C. Estrada, Ctr. de Investigaciones en Óptica, A.C. (Mexico)
C. A. Gonzalez, Ctr. de Investigaciones en Óptica, A.C. (Mexico)

Published in SPIE Proceedings Vol. 8493:
Interferometry XVI: Techniques and Analysis
Joanna Schmit; Katherine Creath; Catherine E. Towers; Jan Burke, Editor(s)

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