Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide

Abstract

A physical realization of scattering by $\mathcal{P}\mathcal{T}$-symmetric potentials is provided: we show that the Maxwell equations for an electromagnetic wave travelling along a planar slab waveguide filled with gain and absorbing media in contiguous regions, can be approximated in a parameter range by a Schrödinger equation with a $\mathcal{P}\mathcal{T}$-symmetric scattering potential.

arXiv comment6 pages, 2 figures

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