Topological Boundary States in 1D: An Effective Fabry-Perot Model

TL;DR

This paper introduces a scattering-based geometrical Fabry-Perot model to predict topological boundary states in 1D structures, providing insights into gap states and potential applications in Casimir physics.

Contribution

It develops a novel geometrical Fabry-Perot approach for analyzing topological boundary states in 1D systems, applicable to photonic and other structures.

Findings

Successfully predicts the existence and properties of topological edge states.

Demonstrates the model's application to quasi-periodic structures.

Proposes potential use in Casimir physics.

Abstract

We present a general and useful method to predict the existence, frequency, and spatial properties of gap states in photonic (and other) structures with a gapped spectrum. This method is established using the scattering approach. It offers a viewpoint based on a geometrical Fabry-Perot model. We demonstrate the capabilities of this model by predicting the behaviour of topological edge states in quasi-periodic structures. A proposition to use this model in Casimir physics is presented.