Small-angle approximation to determine radiance distribution of a finite beam propagating through a turbid medium

Anna N. Yaroslavsky; Ilya V. Yaroslavsky; Hans-Joachim Schwarzmaier M.D.

doi:10.1117/12.297884

14 January 1998 Small-angle approximation to determine radiance distribution of a finite beam propagating through a turbid medium

Anna N. Yaroslavsky, Ilya V. Yaroslavsky, Hans-Joachim Schwarzmaier M.D.

Author Affiliations +

Proceedings Volume 3195, Laser-Tissue Interaction, Tissue Optics, and Laser Welding III; (1998) https://doi.org/10.1117/12.297884
Event: BiOS Europe '97, 1997, San Remo, Italy

Abstract

In optics of biotissues it is often required to determine the radiance distribution function of a finite beam propagating through a turbid medium. One particular instance of this problem is the determination of the signal registered by a detector with a limited field of view, placed on the axis of beam propagation. Since most biological tissues exhibit a high anisotropy factor of scattering, the problem can be approached by applying the small-angle approximation of the radiative transfer theory. We have developed a technique for solving the small-angle problem in case of the Henyey-Greenstein phase function. The technique accounts for an arbitrary spatial and angular profile of the incident beam. The results of the numerical tests have shown a good agreement with the predictions of forward Monte Carlo simulations for a variety of optical properties typical for biological tissues.

Citation Download Citation

Anna N. Yaroslavsky, Ilya V. Yaroslavsky, and Hans-Joachim Schwarzmaier M.D. "Small-angle approximation to determine radiance distribution of a finite beam propagating through a turbid medium", Proc. SPIE 3195, Laser-Tissue Interaction, Tissue Optics, and Laser Welding III, (14 January 1998); https://doi.org/10.1117/12.297884

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