An overview of the null-field method. I: Formulation and basic results

Autor: Adrian Doicu, Michael I. Mishchenko
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physics Open, Vol 5, Iss , Pp 100020- (2020)
Druh dokumentu: article
ISSN: 2666-0326
DOI: 10.1016/j.physo.2020.100020
Popis: 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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