A T matrix method based upon scalar basis functions
Journal article, 2013

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.

Vector spherical

Electromagnetic scattering

discrete-dipole approximation

T matrix method

Volume integral equation formulation

electromagnetic scattering

Author

D. W. Mackowski

Auburn University

Michael Kahnert

Chalmers, Earth and Space Sciences, Global Environmental Measurements and Modelling

M. I. Mishchenko

NASA Goddard Institute for Space Studies

Journal of Quantitative Spectroscopy and Radiative Transfer

0022-4073 (ISSN)

Vol. 123 113-121

Aerosol Optics in Global Earth System Modelling (AGES)

Swedish Research Council (VR), 2011-10-26 -- 2014-10-26.

Subject Categories

Analytical Chemistry

DOI

10.1016/j.jqsrt.2013.02.029

More information

Created

10/6/2017