Convergence of the iterative T-matrix method
Journal article, 2020

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.

Fixed point arithmetic

Acoustic wave scattering

Computation theory

Surface roughness

Matrix algebra


Michael Kahnert


Geoscience and Remote Sensing

Tom Rother

German Aerospace Center (DLR)

Optics Express

1094-4087 (ISSN) 10944087 (eISSN)

Vol. 28 19 28269-28282

Subject Categories

Analytical Chemistry





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