A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

Toroidal moments in artificial media have received growing attention and considered as a
promising framework for initiating novel approaches to manage intrinsic radiative losses in …

Polarization transformation is at the foundation of modern applications in photonics and
quantum optics. Notwithstanding their applicative interests, basic theoretical and …

INTRODUCTION Polarization describes the path along which light's electric field vector
oscillates. An essential quality of electromagnetic radiation, polarization is often omitted in its …

Weyl points are isolated degeneracies in reciprocal space that are monopoles of the Berry
curvature. This topological charge makes them inherently robust to Hermitian perturbations …

Bound states in the continuum (BICs) are resonant modes of open structures that do not
suffer damping, despite being compatible with radiation in terms of their momentum. They …

Topology is central to understanding and engineering materials that display robust physical
phenomena immune to imperfections. Different topological phases of matter are …

Non-Hermitian degeneracies, also known as exceptional points (EPs), have been the focus
of much attention due to their singular eigenvalue surface structure. Nevertheless, as …

In this Letter, we investigate a new class of polarization wave front transformations which
exhibit nonconventional far field interference behavior. We show that these can be realized …

We provide a systematic study of non-Hermitian topologically charged systems. Starting from
a Hermitian Hamiltonian supporting Weyl points with arbitrary topological charge, adding a …