Open AccessConvergence of the iterative T-matrix method
Author(s) -
Michael Kahnert,
Tom Rother
Publication year - 2020
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.404572
Subject(s) - convergence (economics) , iterative method , matrix (chemical analysis) , local convergence , mathematics , computer science , mathematical optimization , algorithm , materials science , economics , composite material , economic growth
Among the various methods for computing the T-matrix in electromagnetic and acoustic scattering problems is an iterative approach that has been shown to be particularly suited for particles with small-scale surface roughness. This method is based on an implicit T-matrix equation. However, the convergence properties of this method are not well understood. Here, a sufficient condition for the convergence of the iterative T-matrix algorithm is derived by applying the Banach fixed point theorem. The usefulness of the criterion is illustrated by applying it to predicting, as well as to systematically improving the convergence of the iterative method.