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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. DOI: 10.1364/AO.49.005746. ISSN 1559-128X.

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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.

Document Type:Article
Title:Case study about the accuracy behavior of three different T-matrix methods
AuthorsInstitution or Email of Authors
Rother, TomTom.Rother@dlr.de
Wauer, JochenUni Leipzig
Date:13 October 2010
Journal or Publication Title:Applied Optics
Refereed publication:Yes
In Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 5746-5756
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: Dr.rer.nat. Tom Rother
Deposited On:27 Oct 2010 09:22
Last Modified:25 Nov 2015 05:03

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