Nonradiating sources of Maxwell's equations

Fuente: arXiv
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Auteurs principaux: Li, Peijun, Wang, Jue
Format: Preprint
Publié: 2024
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author Li, Peijun
Wang, Jue
author_facet Li, Peijun
Wang, Jue
contents This paper presents a thorough investigation into nonradiating sources of Maxwell's equations. Various characterizations are developed to clarify the properties of nonradiating sources, considering their varying degrees of regularity. Furthermore, the characterizations are examined on far-field patterns and near-field data of the electric field, along with the null spaces of integral operators. The study includes the explicit construction of several illustrative examples to demonstrate the presence of nonradiating sources in different null spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10407
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonradiating sources of Maxwell's equations
Li, Peijun
Wang, Jue
Analysis of PDEs
Mathematical Physics
This paper presents a thorough investigation into nonradiating sources of Maxwell's equations. Various characterizations are developed to clarify the properties of nonradiating sources, considering their varying degrees of regularity. Furthermore, the characterizations are examined on far-field patterns and near-field data of the electric field, along with the null spaces of integral operators. The study includes the explicit construction of several illustrative examples to demonstrate the presence of nonradiating sources in different null spaces.
title Nonradiating sources of Maxwell's equations
topic Analysis of PDEs
Mathematical Physics
url https://arxiv.org/abs/2402.10407