English

Exact Solution for the Protected TEM edge mode in a PTD-Symmetric Parallel-Plate Waveguide

Classical Physics 2019-03-27 v2

Abstract

A Parity Time-reversal Dual (PTD) symmetric structure constituted by a Perfectly-Electric-Perfectly magnetic (PEC-PMC) parallel plate waveguide (PPW) is analyzed. This waveguide supports unimodal transverse electromagnetic (TEM) edge mode propagation protected against back-scattering from a certain class of deformations and defects. The TEM solution is found in analytical form by using three different methods, namely conformal mapping, mode-matching, and Fourier-transform methods. It is shown through numerical simulations that the mode propagation is robust with respect to deformations such as 90{\deg} bends and discontinuity such as transition to free-space. Implementation of the PMC boundary conditions via both a bed of nails and a mushroom structure is also successfully investigated.

Keywords

Cite

@article{arxiv.1809.09974,
  title  = {Exact Solution for the Protected TEM edge mode in a PTD-Symmetric Parallel-Plate Waveguide},
  author = {Enrica Martini and Mario G. Silveirinha and Stefano Maci},
  journal= {arXiv preprint arXiv:1809.09974},
  year   = {2019}
}
R2 v1 2026-06-23T04:19:00.512Z