Light propagation in biological tissue

被引:74
作者
Kim, AD [1 ]
Keller, JB
机构
[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA
[2] Stanford Univ, Dept Engn Mech, Stanford, CA 94305 USA
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2003年 / 20卷 / 01期
关键词
D O I
10.1364/JOSAA.20.000092
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (C) 2003 Optical Society of America.
引用
收藏
页码:92 / 98
页数:7
相关论文
共 12 条
[1]  
[Anonymous], 1985, COMPUTATIONAL METHOD
[2]   A REVIEW OF THE OPTICAL-PROPERTIES OF BIOLOGICAL TISSUES [J].
CHEONG, WF ;
PRAHL, SA ;
WELCH, AJ .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1990, 26 (12) :2166-2185
[3]   Boundary and initial boundary-value problems for separable backward-forward parabolic problems [J].
Keller, JB ;
Weinberger, HF .
JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (08) :4343-4353
[4]   Optical diffusion of continuous-wave, pulsed, and density waves in scattering media and comparisons with radiative transfer [J].
Kim, AD ;
Ishimaru, A .
APPLIED OPTICS, 1998, 37 (22) :5313-5319
[5]  
KIM AD, 943052125 STANF U DE
[6]  
KIM AD, IN PRESS J COMPUT PH
[7]   The linear Boltzmann equation in optically thick systems with forward-peaked scattering [J].
Larsen, EW .
PROGRESS IN NUCLEAR ENERGY, 1999, 34 (04) :413-423
[8]   Generalized Fokker-Planck approximations of particle transport with highly forward-peaked scattering [J].
Leakeas, CL ;
Larsen, EW .
NUCLEAR SCIENCE AND ENGINEERING, 2001, 137 (03) :236-250
[9]   Depolarization and blurring of optical images by biological tissue [J].
Moscoso, M ;
Keller, JB ;
Papanicolaou, G .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (04) :948-960
[10]   Generalization of Fermat's principle for photons in random media: The least mean square curvature of paths and photon diffusion on the velocity sphere [J].
Polishchuk, AY ;
Zevallos, M ;
Liu, F ;
Alfano, RR .
PHYSICAL REVIEW E, 1996, 53 (05) :5523-5526