Inhomogeneous polarization evolution resolves a fundamental issue in non-Hermitian transverse optical beam shifts

Abstract

Depending on the system parameters, the transverse optical beam shift in reflection can be non-Hermitian with real eigenvalues and non-orthogonal eigenstates. We reveal that such an unusual resemblance with typical PT (parity-time)-symmetric systems originates from the beam's momentum domain polarization evolution. Specifically, for partial reflection, the momentum domain inhomogeneous polarization evolution of the beam is at the heart of all the peculiarities in the corresponding eigenspectrum of the transverse shift operator. These findings put forward the notion of novel non-Hermitian spin-orbit photonics and enable common polarization optical elements to act as PT-symmetric non-Hermitian systems