Open AccessEfficient and versatile surface integral approach to light scattering in stratified media
Author(s) -
Sandy Pratama,
D. van Oosten
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.021741
Subject(s) - interpolation (computer graphics) , singularity , optics , computer science , integral imaging , integral equation , surface integral , gravitational singularity , limiting , scattering , physical optics , method of moments (probability theory) , physics , mathematics , mathematical analysis , telecommunications , artificial intelligence , mechanical engineering , statistics , frame (networking) , estimator , engineering , image (mathematics)
Recent advances in nano-optics elicit a growing need for more efficient numerical treatments of light-matter interaction in stratified backgrounds. While being known for its many favorable properties, usage of the surface integral approach is hindered by numerical difficulties associated with layered-medium Green's functions. We present an efficient and robust implementation of this approach, addressing the limiting issues. The singularity extraction method is generalized to account for the occurring secondary-term singularities. The resulting scheme thus allows for arbitrary positioning of the scatterers. Further, the laborious matrix-filling process is dramatically accelerated through a simple and robustly-devised, spatial interpolation scheme, completely devoid of integral evaluations. The accuracy and versatility of the method are demonstrated by treating several representative plasmonic problems.