Diffuse radiation intensity propagating through a particulate slab

A multiple-scattering approach is used to solve the radiative transfer equation in order to describe the angular and optical depth dependence of diffuse intensity propagating through an unsupported particulate slab perpendicularly illuminated with unpolarized electromagnetic radiation. Boundary reflections are taken into account for the unscattered radiation, as is each of the successive reflection and scattering orders, which are characterized by corresponding average path-length parameters and forward-scattering ratios. The optical depth dependence of the reflection- and scattering-order coefficients is displayed for given values of the particle size parameter, particle volume fraction, relative refractive index, and optical thickness of the slab. Diffuse intensity patterns at a given optical depth, and the angular dependence of the reflected and transmitted intensities, are also considered.

[1]  W. Vargas,et al.  Forward average path-length parameter in four-flux radiative transfer models. , 1997, Applied optics.

[2]  F F de Mul,et al.  Probabilistic model of multiple light scattering based on rigorous computation of the first and the second moments of photon coordinates. , 1996, Applied optics.

[3]  W. Vargas,et al.  Applicability conditions of the Kubelka-Munk theory. , 1997, Applied optics.

[4]  J. Fricke,et al.  Dependent scattering effects in latex-sphere suspensions and scattering powders , 1995 .

[5]  P. S Mudgett,et al.  Multiple scattering calculations for technology II , 1972 .

[6]  J. Reichman.  Determination of absorption and scattering coefficients for nonhomogeneous media. 1: theory. , 1973, Applied optics.

[7]  N. Khlebtsov,et al.  Orientational averaging of light-scattering observables in the J-matrix approach. , 1992, Applied optics.

[8]  G. Weiss,et al.  Model for photon migration in turbid biological media. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[9]  W. Vargas,et al.  Intensity of diffuse radiation in particulate media , 1997 .

[10]  W. Vargas,et al.  Generalized four-flux radiative transfer model. , 1998, Applied optics.

[11]  P. Waterman,et al.  Matrix methods in potential theory and electromagnetic scattering , 1979 .

[12]  P. Waterman,et al.  SYMMETRY, UNITARITY, AND GEOMETRY IN ELECTROMAGNETIC SCATTERING. , 1971 .

[13]  Michael I. Mishchenko,et al.  Light scattering by randomly oriented axially symmetric particles , 1991 .

[14]  K. Stamnes,et al.  Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. , 1988, Applied optics.

[15]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[16]  R Nossal,et al.  Scaling relationships for theories of anisotropic random walks applied to tissue optics. , 1993, Applied optics.

[17]  A. Mandelis,et al.  Quantitative diffuse reflectance spectroscopy of large powders: the Melamed model revisited. , 1990, Applied optics.

[18]  G Gouesbet,et al.  Four-flux models to solve the scattering transfer equation in terms of Lorenz-Mie parameters. , 1984, Applied optics.

[19]  G Zaccanti,et al.  Monte Carlo study of light propagation in optically thick media: point source case. , 1991, Applied optics.

[20]  Gérard Gréhan,et al.  Monte Carlo Simulation of Multiple Scattering in arbitrary 3‐D geometry , 1992 .

[21]  Efficient stream distributions in radiative-transfer theory. , 1974 .

[22]  E. Simmons.  Diffuse reflectance spectroscopy: a comparison of the theories. , 1975, Applied optics.

[23]  M. Mishchenko,et al.  Reprint of: T-matrix computations of light scattering by nonspherical particles: a review , 1996 .

[24]  Stuart W. Churchill,et al.  Numerical Solution of Problems in Multiple Scattering of Electromagnetic Radiation , 1955 .

[25]  N. Melamed.  Optical Properties of Powders. Part I. Optical Absorption Coefficients and the Absolute Value of the Diffuse Reflectance. Part II. Properties of Luminescent Powders , 1963 .

[26]  Akira Ishimaru,et al.  Mueller matrix calculation for a slab of random medium with both random rough surfaces and discrete particles , 1994 .

[27]  Stuart W. Churchill,et al.  Representation of the Angular Distribution of Radiation Scattered by a Spherical Particle , 1955 .

[28]  Amir H. Gandjbakhche,et al.  Scaling relationships for anisotropic random walks , 1992 .

[29]  W. Vargas,et al.  Generalized method for evaluating scattering parameters used in radiative transfer models , 1997 .

[30]  D T Delpy,et al.  Monte Carlo simulations of coherent backscatter for identification of the optical coefficients of biological tissues in vivo. , 1995, Applied optics.

[31]  J. Hansen,et al.  Light scattering in planetary atmospheres , 1974 .

[32]  H. Hecht.  The a Priori Calculation of the Diffuse Reflectance of a Turbid Medium , 1983 .

[33]  G J Hall,et al.  Moments of multiple scattering. , 1995, Applied optics.

[34]  Gunnar A. Niklasson,et al.  Forward-scattering ratios and average pathlength parameter in radiative transfer models , 1997 .