Stochastic characterization of phase detection algorithms in phase-shifting interferometry
Abstract
Phase-shifting interferometry (PSI) is the preferred non-contact method for profiling sub-nanometer surfaces. Based on monochromatic light interference, the method computes the surface profile from a set of interferograms collected at separate stepping positions. Errors in the estimated profile are introduced when these positions are not located correctly. In order to cope with this problem, various algorithms that minimize the effects of certain types of stepping errors (linear, sinusoidal, etc.) have been developed. Despite the relatively large number of algorithms suggested in the literature, there is no unified way of characterizing their performance when additional unaccounted random errors are present. Here, we suggest a procedure for quantifying the expected behavior of each algorithm in the presence of independent and identically distributed (i.i.d.) random stepping errors, which can occur in addition to the systematic errors for which the algorithm has been designed. As a result, the usefulness of this method derives from the fact that it can guide the selection of the best algorithm for specific measurement situations.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1342017
- Alternate Identifier(s):
- OSTI ID: 1330275
- Report Number(s):
- LLNL-JRNL-697687
Journal ID: ISSN 0003-6935; APOPAI
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Applied Optics
- Additional Journal Information:
- Journal Volume: 55; Journal Issue: 31; Journal ID: ISSN 0003-6935
- Publisher:
- Optical Society of America (OSA)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; metrology; interference microscopy; phase measurement
Citation Formats
Munteanu, Florin. Stochastic characterization of phase detection algorithms in phase-shifting interferometry. United States: N. p., 2016.
Web. doi:10.1364/AO.55.008925.
Munteanu, Florin. Stochastic characterization of phase detection algorithms in phase-shifting interferometry. United States. https://doi.org/10.1364/AO.55.008925
Munteanu, Florin. Tue .
"Stochastic characterization of phase detection algorithms in phase-shifting interferometry". United States. https://doi.org/10.1364/AO.55.008925. https://www.osti.gov/servlets/purl/1342017.
@article{osti_1342017,
title = {Stochastic characterization of phase detection algorithms in phase-shifting interferometry},
author = {Munteanu, Florin},
abstractNote = {Phase-shifting interferometry (PSI) is the preferred non-contact method for profiling sub-nanometer surfaces. Based on monochromatic light interference, the method computes the surface profile from a set of interferograms collected at separate stepping positions. Errors in the estimated profile are introduced when these positions are not located correctly. In order to cope with this problem, various algorithms that minimize the effects of certain types of stepping errors (linear, sinusoidal, etc.) have been developed. Despite the relatively large number of algorithms suggested in the literature, there is no unified way of characterizing their performance when additional unaccounted random errors are present. Here, we suggest a procedure for quantifying the expected behavior of each algorithm in the presence of independent and identically distributed (i.i.d.) random stepping errors, which can occur in addition to the systematic errors for which the algorithm has been designed. As a result, the usefulness of this method derives from the fact that it can guide the selection of the best algorithm for specific measurement situations.},
doi = {10.1364/AO.55.008925},
journal = {Applied Optics},
number = 31,
volume = 55,
place = {United States},
year = {Tue Nov 01 00:00:00 EDT 2016},
month = {Tue Nov 01 00:00:00 EDT 2016}
}
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