Physics – Optics
Scientific paper
Apr 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1236..101w&link_type=abstract
INTERNATIONAL CONFERENCE ON ADVANCED PHASE MEASUREMENT METHODS IN OPTICS AND IMAGING. AIP Conference Proceedings, Volume 1236,
Physics
Optics
Wave Propagation, Fourier Transform Optics, Interference, Optical Frequency Conversion, Integral Equations, Wave Propagation, Transmission And Absorption, Fourier Optics, Interference, Frequency Conversion, Harmonic Generation, Including Higher-Order Harmonic Generation, Design And Performance Testing Of Integrated-Optical Systems
Scientific paper
Phase recovery from interference fringe patterns is an important aspect of modern optical metrology and while several methods have been developed to this end, the focus of this paper is one such technique, the continuous wavelet transform (CWT). Wavelets are position-spatial-frequency estimators that in many ways are ideally suited to the task of estimating the local frequency content of non-stationary signals such as fringe patterns. We review the CWT, showing that a path that follows the maximum modulus yields the instantaneous fringe frequency as a function of spatial displacement and that the argument of the complex CWT along this path gives the phase directly. In the former, phase recovery proceeds by integrating along the path. In the latter, the phase is returned modulo 2π and needs to be unwrapped. A numerical example serves to illustrate these features.
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