title: Light propagation in two-layer tissues with an irregular interface.
abstract: We study light propagation in a half-space composed of two homogeneous layers each having different optical properties from the other. This problem is a model for light propagation in tissues composed of a thin epithelial layer supported from below by a thick stromal layer. The interface between the two layers is irregular. Assuming that this interface is a small perturbation of a plane that is parallel to the boundary surface, we obtain an asymptotic approximation to the solution. We give a numerical method to compute this asymptotic approximation. Finally, we show how to recover this irregular interface surface from boundary measurements when the optical properties of the two layers are known.
authors.affiliation: School of Natural Sciences, University of California Merced, Merced, California 95344, USA.
authors.forename: Pedro
authors.initials: P
authors.lastname: González-Rodríguez
authors.forename: Arnold D
authors.initials: AD
authors.lastname: Kim
mesh_terms: D000465:Algorithms; D000818:Animals; D004848:Epithelium / Q000737:chemistry; D008027:Light; D008954:Models, Biological; D012542:Scattering, Radiation; D017154:Stromal Cells / Q000737:chemistry