Publication Abstracts

Mackowski et al. 2013

Mackowski, D.W., F.M. Kahnert, and M.I. Mishchenko, 2013: A T matrix method based upon scalar basis functions. J. Quant. Spectrosc. Radiat. Transfer, 123, 113-121, doi:10.1016/j.jqsrt.2013.02.029.

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 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.

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BibTeX Citation

@article{ma05800y,
  author={Mackowski, D. W. and Kahnert, F. M. and Mishchenko, M. I.},
  title={A T matrix method based upon scalar basis functions},
  year={2013},
  journal={Journal of Quantitative Spectroscopy and Radiative Transfer},
  volume={123},
  pages={113--121},
  doi={10.1016/j.jqsrt.2013.02.029},
}

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RIS Citation

TY  - JOUR
ID  - ma05800y
AU  - Mackowski, D. W.
AU  - Kahnert, F. M.
AU  - Mishchenko, M. I.
PY  - 2013
TI  - A T matrix method based upon scalar basis functions
JA  - J. Quant. Spectrosc. Radiat. Transfer
JO  - Journal of Quantitative Spectroscopy and Radiative Transfer
VL  - 123
SP  - 113
EP  - 121
DO  - 10.1016/j.jqsrt.2013.02.029
ER  -

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