Analytical perturbation theory of photon migration in the presence of a single absorbing or scattering defect sphere

Shechao Charles Feng; Fanan Zeng; Britton Chance

doi:10.1117/12.209946

30 May 1995 Analytical perturbation theory of photon migration in the presence of a single absorbing or scattering defect sphere

Shechao Charles Feng, Fanan Zeng, Britton Chance

Author Affiliations +

Proceedings Volume 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation; (1995) https://doi.org/10.1117/12.209946
Event: Photonics West '95, 1995, San Jose, CA, United States

Abstract

We present an analytical perturbation analysis to study the sensitivity of diffusive photon flux to the addition of a small spherical defect object in turbid multiple scattering media such as human tissue. As a first simple application of this perturbation theory, we derive analytically the photon migration path distribution function for both the infinite medium and the semi- infinite medium geometries. This allows one to write down analytical expressions of the shape and size of the so-called 'banana' region in which the photon migration paths are concentrated. We then derive analytically the sensitivity of detected photon flux densities to the inclusion of a small spherical defect in a turbid tissue medium, for both continuous wave (cw) and frequency modulation conditions, and arbitrary contrast between the optical parameters of the defect sphere and those of the surrounding medium.

Citation Download Citation

Shechao Charles Feng, Fanan Zeng, and Britton Chance "Analytical perturbation theory of photon migration in the presence of a single absorbing or scattering defect sphere", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); https://doi.org/10.1117/12.209946

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