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Case study about the accuracy behavior of three different T-matrix methods

Rother, Tom and Wauer, Jochen (2010) Case study about the accuracy behavior of three different T-matrix methods. Applied Optics, 49 (30), pp. 5746-5756. Optical Society of America. DOI: 10.1364/AO.49.005746 ISSN 1559-128X

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Abstract

In this paper we discuss the influence of two different sets of weighting functions on the accuracy behavior of T-matrix calculations for scalar scattering problems. The first set of weighting functions is related to one of Waterman’s original approaches. The other set results into a least-squares scheme for the transmission problem. It is shown that both sets of weighting functions produce results with a converse accuracy behavior in the near and far fields. Additional information, such as reciprocity and the fulfillment of the boundary condition, are needed to choose the set of weighting functions that is most appropriate for a certain application. The obtained criteria are applied afterward to an iterative T-matrix approach we developed to analyze scattering on regular particle geometries with an impressed but slight surface irregularity. However, its usefulness is demonstrated in this paper by analyzing the far-field scattering behavior of Chebyshev particles of higher orders.

Item URL in elib:https://elib.dlr.de/65855/
Document Type:Article
Title:Case study about the accuracy behavior of three different T-matrix methods
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Rother, TomTom.Rother (at) dlr.deUNSPECIFIED
Wauer, JochenUni LeipzigUNSPECIFIED
Date:13 October 2010
Journal or Publication Title:Applied Optics
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:49
DOI :10.1364/AO.49.005746
Page Range:pp. 5746-5756
Publisher:Optical Society of America
ISSN:1559-128X
Status:Published
Keywords:light scattering, T-matrix approach, reciprocity
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EO - Erdbeobachtung
DLR - Research area:Space
DLR - Program:W EO - Erdbeobachtung
DLR - Research theme (Project):W - Vorhaben Atmosphären- und Klimaforschung (old)
Location: Neustrelitz
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Rother, Dr.rer.nat. Tom
Deposited On:27 Oct 2010 09:22
Last Modified:10 Jan 2019 15:46

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