Born series for the photon diffusion equation perturbing the Robin boundary condition
Mathematical Physics
2020-04-01 v4 math.MP
Abstract
The photon diffusion equation is solved making use of the Born series for the Robin boundary condition. We develop a general theory for arbitrary domains with smooth enough boundaries and explore the convergence. The proposed Born series is validated by numerical calculation in the three-dimensional half space. It is shown that in this case the Born series converges regardless the value of the impedance term in the Robin boundary condition.
Cite
@article{arxiv.1706.04500,
title = {Born series for the photon diffusion equation perturbing the Robin boundary condition},
author = {Manabu Machida and Gen Nakamura},
journal= {arXiv preprint arXiv:1706.04500},
year = {2020}
}