Abstract
We evaluate the numerical accuracy of finite-difference time-domain (FDTD) analysis of optical transport in a three-dimensional scattering medium illuminated by an isotropic point source. This analysis employs novel boundary conditions for the diffusion equation. The power radiated from an isotropic point source located at a depth equal to the reciprocal of the reduced scattering coefficient () below the surface at the irradiated position is introduced to the integral form of the diffusion equation. Finite- difference approximations of the diffusion equation for a surface cell are derived by utilizing new boundary conditions that include an isotropic source even in a surface cell. Steady-state and time-resolved reflectances are calculated by FDTD analysis for a semi-infinite uniform scattering medium illuminated by an isotropic point source. The numerical results agree reasonably with the analytical solutions for without resizing the mesh elements.
© 2011 Optical Society of America
Full Article | PDF ArticleMore Like This
Tadatoshi Tanifuji, Naoya Nishio, Kazuya Okimatsu, Shougo Tabata, and Yasunari Hashimoto
Appl. Opt. 51(4) 429-438 (2012)
Wenbo Sun, Qiang Fu, and Zhizhang Chen
Appl. Opt. 38(15) 3141-3151 (1999)
Daqing Piao and Sanjay Patel
Appl. Opt. 56(5) 1447-1452 (2017)