Abstract

This research presents a parametric study of the time-resolved hemispherical reflectance of a semi-infinite plane-parallel slab of homogeneous, nonemitting, absorbing, and anisotropic scattering medium exposed to a collimated Gaussian pulse. The one-dimensional transient radiative transfer equation was solved by using the finite volume method. The internal reflection at the medium–air interface caused by the mismatch of the refractive indices was considered. In particular, this work focused on the maximum diffuse hemispherical reflectance. Three different optical regions were identified according to the dimensionless pulsewidth $\beta c{t}_p$. The correlation between the normalized maximum hemispherical reflectance and $\beta c{t}_p$ was conformed to the Boltzmann function. The coefficients in the correlating functions of the match and mismatch refractive index cases were fitted as polynomial fitting functions of the single scattering albedo $\omega$ and Henyey–Greenstein asymmetric factor $g$. Thus, $\omega$ and $g$ can be simultaneously reconstructed by the semi-empirical correlations without solving the forward model. In conclusion, the proposed method can potentially retrieve the asymmetry factor and single scattering albedo of participating media accurately and efficiently.

© 2015 Optical Society of America

Simple and accurate expressions for diffuse reflectance of semi-infinite and two-layer absorbing and scattering media

Dmitry Yudovsky and Laurent Pilon
Appl. Opt. 48(35) 6670-6683 (2009)

Scattering from nonspherical Chebyshev particles. I: cross sections, single-scattering albedo, asymmetry factor, and backscattered fraction

Alberto Mugnai and Warren J. Wiscombe
Appl. Opt. 25(7) 1235-1244 (1986)

Experimental tests of a simple diffusion model for the estimation of scattering and absorption coefficients of turbid media from time-resolved diffuse reflectance measurements

Steen J. Madsen, Brian C. Wilson, Michael S. Patterson, Young D. Park, Steven L. Jacques, and Yaron Hefetz
Appl. Opt. 31(18) 3509-3517 (1992)

Performance of fitting procedures in curved geometry for retrieval of the optical properties of tissue from time-resolved measurements

Angelo Sassaroli, Fabrizio Martelli, Giovanni Zaccanti, and Yukio Yamada
Appl. Opt. 40(1) 185-197 (2001)

Finite element modeling of light propagation in turbid media under illumination of a continuous-wave beam

Aichen Wang, Renfu Lu, and Lijuan Xie
Appl. Opt. 55(1) 95-103 (2016)