Generalization of Fermat's principle for photons in random media: The least mean square curvature of paths and photon diffusion on the velocity sphere

被引：12

作者：

Polishchuk, AY ^{[1
]}

Zevallos, M ^{[1
]}

Liu, F ^{[1
]}

Alfano, RR ^{[1
]}

机构：

[1] GRAD SCH CITY UNIV NEW YORK,NEW YORK,NY 10031

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.53.5523

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Photon migration in highly forward scattering random media can be described as a non-Euclidean;diffusion (NED) on the velocity sphere. An exact path-integral solution of the corresponding NED equation in the photon five-dimensional phase space has been obtained. The solution leads to a ''generalized Fermat principle'' (GFP) for the most probable photon paths in turbid media: GFP requires the least mean-square curvature of the path. An explicitly analytic description of an ultrashort laser pulse propagation in random media based on NED equation is presented. Experiments have been performed to verify the NED theory.

引用

页码：5523 / 5526

页数：4