Non-linear Topological Photonics

Dear Colleagues,

During last several years, considerable attention from the scientific community has been devoted to new materials, known in condensed matter physics as topological insulators. Investigation of the optical/electrodynamic characteristics of these new materials has become a challenging problem for optics. There are optical artificial materials, such as photonic crystals, where optical properties are due to topological characteristics of the Brillouin zone. The corresponding field of optics is known as topological photonics. For much of modern researches in the framework of topological photonics dealt with the linear materials. However, recently, the second harmonic generation and the interaction of an ultra-short pulse of electromagnetic radiation with a topological insulator have been studied. Nonlinear wave propagation in the topological photonic media is also considered. It can be concluded that this new field of optics, referred as nonlinear topological photonics, has arrived.

This Special Issue, “Non-Linear Topological Photonics”, will focus on the nonlinear optical processes in natural and artificial materials that reflect the topological characteristics of these materials. As the principal role for topological insulators and topological photonic crystals is surface states, the focus will be on the electromagnetic phenomena at the interface between the topological and convenient nonlinear optical dielectrics, nonlinear edges modes and surface solitons. The theory of topological polaritons can be generalized in the case of non-bosonic quasiparticles. For example, resonant atoms and resonant photonic crystals may be considered. Studies directed at the development of optical diagnostics of topological materials, and the discovery of the new phenomena due to topological characteristics of matter, will be of interest.

Prof. Dr. Andrei I. Maimistov
Guest Editor

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• Topological insulators
• Surface plasmon polaritons
• Topological magneto-electric polarizability
• Nonlinear edges modes
• Topological polaritons
• Topological Edge States
• Bosonic topological edge states
• Complex photonic lattices
• Bulk and edge transport
• Topological photonic crystal
• Flat photonic surface bands
• Nonlinear hyperbolic metamaterials
• Photonic crystals
• Solitons
• Edge solitons
• Nonreciprocal Dyakonov-wave propagation
• The Maxwell-Chern-Simons electrodynamics
• Parametric processes in artificial materials
• Modulation instability