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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 23 — Aug. 10, 2005
  • pp: 4916–4921

Pseudophase information from the complex analytic signal of speckle fields and its applications. Part II: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement

Wei Wang, Nobuo Ishii, Steen G. Hanson, Yoko Miyamoto, and Mitsuo Takeda  »View Author Affiliations


Applied Optics, Vol. 44, Issue 23, pp. 4916-4921 (2005)
http://dx.doi.org/10.1364/AO.44.004916


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Abstract

To provide a theoretical background for the superiority of the signal-domain phase-only correlation (SDPOC) technique proposed here for microdisplacement measurement, we study the first- and the second-order statistical properties of the complex amplitude of an analytic signal of a white-light speckle pattern, under the assumption of a Gaussian random process, and give a formula for the autocorrelation function of the pseudophase associated with the complex analytic signal. Based on these results, we show mathematically that SDPOC has a performance advantage over conventional intensity-based correlation techniques.

© 2005 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(100.4550) Image processing : Correlators
(100.5070) Image processing : Phase retrieval
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging

History
Original Manuscript: November 29, 2004
Revised Manuscript: April 10, 2005
Manuscript Accepted: April 17, 2005
Published: August 10, 2005

Citation
Wei Wang, Nobuo Ishii, Steen G. Hanson, Yoko Miyamoto, and Mitsuo Takeda, "Pseudophase information from the complex analytic signal of speckle fields and its applications. Part II: Statistical properties of the analytic signal of a white-light speckle pattern applied to the microdisplacement measurement," Appl. Opt. 44, 4916-4921 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-23-4916

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