External versus induced and free versus bound electric currents and related fundamental questions of the classical electrodynamics of continuous media: discussion

Markel, Vadim A.

doi:10.1364/josaa.35.001663

Cited by 4 publications

(1 citation statement)

References 24 publications

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“…This criticism may be especially relevant in the case of impressed source currents residing inside the object (see, e.g., the discussion in Ref. [77]). Microphysically this implies that the same elementary charges contribute to the impressed currents as well as to the secondary conducting currents.…”

Section: Scattering Problemmentioning

confidence: 99%

Impressed sources and fields in the volume-integral-equation formulation of electromagnetic scattering by a finite object: A tutorial

Mishchenko

Yurkin

2018

Journal of Quantitative Spectroscopy and Radiative Transfer

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Although free space cannot generate electromagnetic waves, the majority of existing accounts of frequency-domain electromagnetic scattering by particles and particle groups are based on the postulate of existence of an impressed incident field, usually in the form of a plane wave. In this tutorial we discuss how to account for the actual existence of impressed source currents rather than impressed incident fields. Specifically, we outline a self-consistent theoretical formalism describing electromagnetic scattering by an arbitrary finite object in the presence of arbitrarily distributed impressed currents, some of which can be far removed from the object and some can reside in its vicinity, including inside the object. To make the resulting formalism applicable to a wide range of scattering-object morphologies, we use the framework of the volume integral equation formulation of electromagnetic scattering, couple it with the notion of the transition operator, and exploit the fundamental symmetry property of this operator. Among novel results, this tutorial includes a streamlined proof of fundamental symmetry (reciprocity) relations, a simplified derivation of the Foldy equations, and an explicit analytical expression for the transition operator of a multi-component scattering object.

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Section: Scattering Problemmentioning

confidence: 99%