Analysis of light pulse transport through two-dimensional scattering and absorbing media

In this paper, a two-dimensional transient radiation transport algorithm is developed to analyze the ultra-short light pulse propagation in an anisotropically scattering rectangular medium. The time-dependent discrete ordinates method is used with the high order upwind piecewise parabolic interpolation scheme. The upwind difference scheme is needed to resolve the propagating wave front. This method extends from a prior one-dimensional model to treat the two-dimensional geometry through a Strang-type dimensional splitting. The accuracy and efficiency of this algorithm are studied. Comparisons with one-dimensional case and a parametric study show the flexibility of this method for homogeneous and non-homogeneous media.

[1]  P. Hsu.  Effects of multiple scattering and reflective boundary on the transient radiative transfer process , 2001 .

[2]  K Mitra,et al.  Transient radiative transfer equation applied to oceanographic lidar. , 1999, Applied optics.

[3]  Stefan Andersson-Engels,et al.  Time-resolved transillumination for medical diagnostics , 1991, Photonics West - Lasers and Applications in Science and Engineering.

[4]  A Ishimaru,et al.  Diffusion of light in turbid material. , 1989, Applied optics.

[5]  J. Gillis,et al.  Methods in Computational Physics , 1964 .

[6]  W. A. Fiveland,et al.  Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method , 1988 .

[7]  Yukio Yamada,et al.  Optical properties of thick, turbid media from picosecond time-resolved light scattering measurements , 1995 .

[8]  P. Hsu,et al.  An Integral Formulation of Transient Radiative Transfer , 2001 .

[9]  S Kumar,et al.  Development and comparison of models for light-pulse transport through scattering-absorbing media. , 1999, Applied optics.

[10]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[11]  M. Modest.  Radiative heat transfer , 1993 .

[12]  S G Demos,et al.  Advances in Optical Imaging of Biomedical Media a , 1997, Annals of the New York Academy of Sciences.

[13]  Propagation of scattered radiation in a participating planar medium with pulse irradiation , 2000 .

[14]  P. Woodward,et al.  The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .

[15]  Rainer Koch,et al.  DISCRETE ORDINATES QUADRATURE SCHEMES FOR MULTIDIMENSIONAL RADIATIVE TRANSFER , 1995 .

[16]  G. D. Raithby,et al.  A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media , 1990 .