Publication Abstracts
Doicu and Mishchenko 2020
Doicu, A., and
, 2020: An overview of the null-field method. I: Formulation and basic results. Phys. Open, 5, 100020, 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
@article{do02300g, author={Doicu, A. and Mishchenko, M. I.}, title={An overview of the null-field method. I: Formulation and basic results}, year={2020}, journal={Physics Open}, volume={5}, pages={100020}, doi={10.1016/j.physo.2020.100020}, }
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RIS Citation
TY - JOUR 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 JO - Physics Open VL - 5 SP - 100020 DO - 10.1016/j.physo.2020.100020 ER -
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