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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 10 — Apr. 1, 2001
  • pp: 1649–1657

Coordinate-transform technique for closed-fringe analysis by the Fourier-transform method

Zongtao Ge, Fumio Kobayashi, Shinichi Matsuda, and Mitsuo Takeda  »View Author Affiliations


Applied Optics, Vol. 40, Issue 10, pp. 1649-1657 (2001)
http://dx.doi.org/10.1364/AO.40.001649


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Abstract

A coordinate-transform technique is proposed that enables the Fourier-transform method to analyze an interferogram that includes a closed-fringe pattern. First, the closed-fringe pattern is converted to an open-fringe pattern by transformation of the Cartesian coordinate system to a polar coordinate system. Then the phase distribution for the open-fringe interferogram is determined by the conventional Fourier-transform method. The phase distribution for the original closed-fringe pattern is obtained by inverse coordinate transformation from the polar coordinate system back to the Cartesian coordinate system. Computer simulation and experiments were performed for a closed-fringe pattern generated by interference of a spherical wave with a reference plane wave, and results are presented that demonstrate the validity of the proposed technique.

© 2001 Optical Society of America

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

History
Original Manuscript: July 18, 2000
Revised Manuscript: January 2, 2001
Published: April 1, 2001

Citation
Zongtao Ge, Fumio Kobayashi, Shinichi Matsuda, and Mitsuo Takeda, "Coordinate-transform technique for closed-fringe analysis by the Fourier-transform method," Appl. Opt. 40, 1649-1657 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-10-1649


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References

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