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Convergence of the iterative T-matrix method

Kahnert, Michael and Rother, Tom (2020) Convergence of the iterative T-matrix method. Optics Express, 28 (19), pp. 28269-28282. Optical Society of America. doi: 10.1364/OE.404572. ISSN 1094-4087.

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Official URL: https://doi.org/10.1364/OE.404572

Abstract

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.

Item URL in elib:https://elib.dlr.de/136093/
Document Type:Article
Title:Convergence of the iterative T-matrix method
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Kahnert, MichaelSwedish Meteorological and Hydrological Institute, Swedenhttps://orcid.org/0000-0001-5695-1356UNSPECIFIED
Rother, TomUNSPECIFIEDhttps://orcid.org/0000-0001-8456-3158UNSPECIFIED
Date:2020
Journal or Publication Title:Optics Express
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:28
DOI:10.1364/OE.404572
Page Range:pp. 28269-28282
Publisher:Optical Society of America
ISSN:1094-4087
Status:Published
Keywords:scattering, T-Matrix, iterative solution
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - Atmospheric and climate research
Location: Neustrelitz , Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Rother, Dr.rer.nat. Tom
Deposited On:24 Sep 2020 11:21
Last Modified:12 Oct 2020 18:40

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