English

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Mathematical Physics 2021-01-13 v1 math.MP Optics

Abstract

A theoretical framework is developed for scattering of scalar radiation from stationary, three-dimensional media with correlation functions of scattering potentials obeying PT\mathcal{PT}-symmetry. It is illustrated that unlike in scattering from deterministic PT\mathcal{PT}-symmetric media, its stationary generalization involves two mechanisms leading to symmetry breaking in the statistics of scattered radiation, one stemming from the complex-valued medium realizations and the other - from the complex-valued degree of medium's correlation.

Keywords

Cite

@article{arxiv.2011.04469,
  title  = {Scattering theory for stationary materials with $\mathcal{PT}$ symmetry},
  author = {Paulo Brandão and Olga Korotkova},
  journal= {arXiv preprint arXiv:2011.04469},
  year   = {2021}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-23T20:00:58.206Z