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Edge Conditions for the Junction of Two Resistive Half-Planes with Different Surface Impedances

Applied Physics 2024-08-22 v1

Abstract

This work presents an analysis of the behavior of an electromagnetic field near the common edge of two resistive half-planes with different surface impedances. Contrary to the case of a single resistive half-plane, in the case of the impedance junction, both electric and magnetic fields' transverse components simultaneously contain a logarithmic singularity. It is shown that a surface current density has a finite jump that is proportional to the difference between the inverse impedances.

Keywords

Cite

@article{arxiv.2408.11476,
  title  = {Edge Conditions for the Junction of Two Resistive Half-Planes with Different Surface Impedances},
  author = {Igor M. Braver and Pinchos Sh. Fridberg and Khona L. Garb and Iosif M. Yakover},
  journal= {arXiv preprint arXiv:2408.11476},
  year   = {2024}
}

Comments

4 pages, 1 figure