Abstract

We have derived the space–time Green’s function for the diffusion equation in layered turbid media, starting from the case of a planar interface between two random scattering media. This new approach for working directly in real space permits highly efficient numerical processing, which is a decisive criterion for the feasibility of the inverse problem in biomedical optics. The results obtained by this method in the case of a two-layered medium are compared with Monte Carlo simulations.

© 2000 Optical Society of America

Analytical approximate solutions of the time-domain diffusion equation in layered slabs

Fabrizio Martelli, Angelo Sassaroli, Yukio Yamada, and Giovanni Zaccanti
J. Opt. Soc. Am. A 19(1) 71-80 (2002)

Method for estimating closed-form solutions of the light diffusion equation for turbid media of any boundary shape

Umar Alqasemi, Hassan S. Salehi, and Quing Zhu
J. Opt. Soc. Am. A 33(2) 205-213 (2016)

Time-domain Green functions for diffuse light in two adjoining turbid half-spaces

Margarita L. Shendeleva
Appl. Opt. 46(10) 1641-1649 (2007)

Real-time convolution method for generating light diffusion profiles of layered turbid media

Hoe-Min Kim, Kwang Hee Ko, and Kwan H. Lee
J. Opt. Soc. Am. A 28(6) 1276-1284 (2011)

Solving analytically the simplified spherical harmonics equations in cylindrical turbid media

Ehsan Edjlali and Yves Bérubé-Lauzière
J. Opt. Soc. Am. A 35(9) 1633-1644 (2018)