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A T matrix method based upon scalar basis functions
SMHI, Research Department, Air quality.ORCID iD: 0000-0001-5695-1356
2013 (English)In: Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, E-ISSN 1879-1352, Vol. 123, 113-121 p.Article in journal (Refereed) Published
Abstract [en]

A surface integral formulation is developed for the T matrix of a homogenous and isotropic particle of arbitrary shape, which employs scalar basis functions represented by the translation matrix elements of the vector spherical wave functions. The formulation begins with the volume integral equation for scattering by the particle, which is transformed so that the vector and dyadic components in the equation are replaced with associated dipole and multipole level scalar harmonic wave functions. The approach leads to a volume integral formulation for the T matrix, which can be extended, by the use of Green's identities, to the surface integral formulation. The result is shown to be equivalent to the traditional surface integral formulas based on the VSWF basis. (C) 2013 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2013. Vol. 123, 113-121 p.
Keyword [en]
Electromagnetic scattering, T matrix method, Volume integral equation formulation, Vector spherical wave functions, Scalar Helmholtz equation
National Category
Meteorology and Atmospheric Sciences
Research subject
Environment
Identifiers
URN: urn:nbn:se:smhi:diva-370DOI: 10.1016/j.jqsrt.2013.02.029ISI: 000319095300013OAI: oai:DiVA.org:smhi-370DiVA: diva2:801800
Available from: 2015-04-10 Created: 2015-03-31 Last updated: 2015-04-10Bibliographically approved

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