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

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...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2007-08, Vol.24 (8), p.2186-2195
Hauptverfasser: GRAF, Robert N, WAX, Adam
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WAX, Adam
description 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.
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subjects Algorithms
Computers in experimental physics
Data analysis: algorithms and implementation
data management
Exact sciences and technology
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Interferometers
Models, Theoretical
Optical instruments, equipment and techniques
Physics
Spectrum Analysis - methods
Time Factors
Tomography, Optical Coherence - methods
title Temporal coherence and time-frequency distributions in spectroscopic optical coherence tomography
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