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

Abstract

A theoretical framework is developed for scattering of scalar radiation from stationary, three-dimensional media with correlation functions of scattering potentials obeying $\mathcal{P}\mathcal{T}$-symmetry. It is illustrated that unlike in scattering from deterministic $\mathcal{P}\mathcal{T}$-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.

arXiv comment8 pages, 5 figures

References in corpus (5)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Scattering of partially coherent radiation by non-Hermitian localized structures having Parity-Time symmetry
• Non-Hermitian spectral changes in the scattering of partially coherent radiation by periodic structures

Cited by in corpus (3)

• Light scattering from stationary $\mathcal{P}\mathcal{T}$-symmetric collections of particles
• Propagation of Partially Coherent Light in non-Hermitian Lattices
• Low coherence-induced resonance in double-layer structures having parity-time symmetry