Light propagation in biological tissue

Biological tissue scatters light mainly in the forward direction where the scattering phase function has a narrow peak. This peak makes it difficult to solve the radiative transport equation. However, it is just for forward peaked scattering that the Fokker-Planck equation provides a good approximation, and it is easier to solve than the transport equation. Furthermore, the modification of the Fokker-Planck equation by Leakeas and Larsen provides an even better approximation and is also easier to solve. We demonstrate the accuracy of these two approximations by solving the problem of reflection and transmission of a plane wave normally incident on a slab composed of a uniform scattering medium.

[1]  Joseph B. Keller,et al.  Light propagation in biological tissue. , 2003 .

[2]  Miguel Moscoso,et al.  Radiative transfer computations for optical beams , 2003 .

[3]  L. Delves,et al.  Computational methods for integral equations: Frontmatter , 1985 .

[4]  Alfano,et al.  Generalization of Fermat's principle for photons in random media: The least mean square curvature of paths and photon diffusion on the velocity sphere. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  L. Trefethen Spectral Methods in MATLAB , 2000 .

[6]  Edward W. Larsen,et al.  The linear Boltzmann equation in optically thick systems with forward-peaked scattering , 1999 .

[7]  Edward W. Larsen,et al.  Generalized Fokker-Planck Approximations of Particle Transport with Highly Forward-Peaked Scattering , 2001 .

[8]  G. C. Pomraning THE FOKKER-PLANCK OPERATOR AS AN ASYMPTOTIC LIMIT , 1992 .

[9]  J. Keller,et al.  Depolarization and blurring of optical images by biological tissue. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  A Ishimaru,et al.  Optical diffusion of continuous-wave, pulsed, and density waves in scattering media and comparisons with radiative transfer. , 1998, Applied optics.

[11]  Joseph B. Keller,et al.  Boundary and initial boundary-value problems for separable backward–forward parabolic problems , 1997 .

[12]  A. Welch,et al.  A review of the optical properties of biological tissues , 1990 .