Nonradiating sources of Maxwell's equations

TL;DR

This paper investigates nonradiating sources in Maxwell's equations, providing characterizations based on regularity, far-field and near-field data, and null spaces, along with explicit examples demonstrating their existence.

Contribution

It offers new characterizations of nonradiating sources considering regularity and null spaces, and constructs explicit examples illustrating their properties.

Findings

Characterizations of nonradiating sources based on regularity and data

Explicit examples of nonradiating sources in null spaces

Analysis of far-field and near-field patterns

Abstract

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.