The application of topology, the mathematics of conserved properties under continuous
deformations, is creating a range of new opportunities throughout photonics. This field was …

In this article, we study the Schrödinger operator for a large class of periodic potentials with
the symmetry of a hexagonal tiling of the plane. The potentials we consider are …

Consider electromagnetic waves in two-dimensional honeycomb structured media, whose
constitutive laws have the symmetries of a hexagonal tiling of the plane. The properties of …

An edge state is a time-harmonic solution of a conservative wave system, eg Schrödinger,
Maxwell, which is propagating (plane-wave-like) parallel to, and localized transverse to, a …

A modality to high tunability and sensing performance of a one-dimensional (1D) topological
photonic crystal (PC) heterostructure is realized, based on a new mechanism through a 1D …

Topological photonics facilitates the propagation of terahertz waves with extremely high
transmission and without backscattering, even in the presence of sharp corners and defects …

We proposed a group-theory method to calculate topological invariant in bi-isotropic
photonic crystals invariant under crystallographic point group symmetries. Spin Chern …

We study Schrödinger operators perturbed by non-compact (spatially extended) defects. We
consider two models: a one-dimensional (1D) dimer structure with a global phase shift, and …

Symmetry-protected photonic topological insulator exhibiting robust pseudo-spin-dependent
transportation, analogous to quantum spin Hall (QSH) phases and topological insulators …

A comprehensive library of photonic topological insulators (gyromagnetic, bianisotropic, and
2D-asymmetric) is established. An interface between any two of them supports reflectionless …