English

The uniqueness of inverse scattering problems, reciprocity principles, and nonradiating sources related to low-signature structures

Computational Physics 2025-10-01 v1

Abstract

This paper is about perfectly electrically conducting structures designed to produce negligible scattered power when exposed to a time-harmonic plane electromagnetic wave. The structures feature cavities capable of concealing objects. Theoretical investigations of the properties of the structures combined with accurate numerical computations lead to three key findings: the first concerns the uniqueness of the solution to an inverse scattering problem, the second establishes a reciprocity relation for the far-field scattering amplitude, and the third reveals the existence of non-radiating sources that generate substantial electromagnetic fields near the source region. The results have applications in low-observable technology.

Keywords

Cite

@article{arxiv.2509.26304,
  title  = {The uniqueness of inverse scattering problems, reciprocity principles, and nonradiating sources related to low-signature structures},
  author = {Johan Helsing and Anders Karlsson},
  journal= {arXiv preprint arXiv:2509.26304},
  year   = {2025}
}

Comments

18 pages, 11 figures