OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 25 — Sep. 1, 2001
  • pp: 4540–4546

Method for Designing Error-Compensating Phase-Calculation Algorithms for Phase-Shifting Interferometry

Yucong Zhu and Takashi Gemma  »View Author Affiliations


Applied Optics, Vol. 40, Issue 25, pp. 4540-4546 (2001)
http://dx.doi.org/10.1364/AO.40.004540


View Full Text Article

Acrobat PDF (95 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose a general approach to eliminating some error source effects in phase-calculation algorithms for phase-shifting interferometry. We express the actual phase shift in a convenient form that takes the errors into account and develop in series the detected phase from a generic algorithm. Setting to zero the terms of the series that involve unwanted errors leads to a set of linear equations for the algorithm coefficients, which can thus be found. By using this approach, one could develop an algorithm series for an individual interferometer based on relevant concerns about the main error sources in it and eliminate the error source effects to any desired order. Two examples of algorithm series, to eliminate distorted phase shifts caused by the geometric effect in an interferometer with a spherical Fizeau cavity and to eliminate vibration effects, are discussed.

© 2001 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Citation
Yucong Zhu and Takashi Gemma, "Method for Designing Error-Compensating Phase-Calculation Algorithms for Phase-Shifting Interferometry," Appl. Opt. 40, 4540-4546 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-25-4540


Sort:  Author  |  Year  |  Journal  |  Reset

References

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited