Publication Abstracts

Doicu and Mishchenko 2020, in press

Doicu, A., and M.I. Mishchenko, 2020: An overview of the null-field method. I: Formulation and basic results. Phys. Open, in press, doi:10.1016/j.physo.2020.100020.

In this paper we revisit the fundamentals of the null-field method with discrete sources. We prove the unique solvability of the null-field equations for the total field inside the particle and the internal field outside the particle, at all wavenumbers. For this purpose, we use the equivalence between the null-field and surface integral equations methods. Furthermore, we discuss the completeness property of different systems of discrete sources for a surface field approximation, and derive an infinite set of integral equations for the surface fields in a variety of discrete sources. Finally, we formulate the null-field scheme as an approach aiming to construct an approximate solution to the scattering problem. The way in which we introduce the T matrix of a particle is different from the standard approach relying on the assumption that the system of regular vector spherical wave functions for the interior problem is a basis.

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BibTeX Citation

@unpublished{do02300g,
  author={Doicu, A. and Mishchenko, M. I.},
  title={An overview of the null-field method. I: Formulation and basic results},
  year={2020},
  journal={Phys. Open},
  doi={10.1016/j.physo.2020.100020},
  note={Manuscript accepted for publication}
}

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RIS Citation

TY  - INPR
ID  - do02300g
AU  - Doicu, A.
AU  - Mishchenko, M. I.
PY  - 2020
TI  - An overview of the null-field method. I: Formulation and basic results
JA  - Phys. Open
DO  - 10.1016/j.physo.2020.100020
ER  -

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