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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2186–2195

Temporal coherence and time–frequency distributions in spectroscopic optical coherence tomography

Robert N. Graf and Adam Wax  »View Author Affiliations


JOSA A, Vol. 24, Issue 8, pp. 2186-2195 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002186


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Abstract

Traditional analysis of spectroscopic optical coherence tomography (SOCT) signals is limited by an uncertainty relationship between time (depth) and frequency (wavelength). The use of a bilinear time–frequency distribution for analysis, such as those that compose Cohen’s class of functions, may provide a way to avoid this limitation. Here we present the relationship between traditional SOCT analysis and the relevant Cohen class functions: the Wigner and Choi–Williams distributions. While cross terms that arise in these bilinear time–frequency distributions have been viewed as an artifact, here we identify these terms with temporal coherence, which contains significant information about the signal through phase relationships. The utility of time–frequency distributions is illustrated through analysis of calculated signals.

© 2007 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(170.4500) Medical optics and biotechnology : Optical coherence tomography

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: November 6, 2006
Revised Manuscript: February 16, 2007
Manuscript Accepted: March 16, 2007
Published: July 11, 2007

Virtual Issues
Vol. 2, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Robert N. Graf and Adam Wax, "Temporal coherence and time-frequency distributions in spectroscopic optical coherence tomography," J. Opt. Soc. Am. A 24, 2186-2195 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-8-2186

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