Work

The effect of singularities and damping on the spectra of photonic crystals

Year: 2024

Type: article

Abstract: Understanding the dispersive properties of photonic crystals is a fundamental and well-studied problem. However, the introduction of singular permittivities and damping complicates the otherwise straightforward theory. In this paper, we study photonic crystals with a Drude–Lorentz model for the permittivity, motivated by halide perovskites. We demonstrate how the introduction of singularities and damping affects the spectral band structure and show how to interpret the notion of a “band gap” in this setting. We study a one-dimensional model for which we present explicit solutions.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0164213

Authors: Konstantinos Alexopoulos, Bryn Davies

Institutions: ETH Zurich, Imperial College London

Language: English

Topic: Photonic Crystals and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: ETH Zürich Foundation, Engineering and Physical Sciences Research Council

Awards: Mathematical Analysis of Multi-dimensional Topological Edge Modes, G8361507199