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.
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Levy, E., Akkermans, E. Topological boundary states in 1D: An effective Fabry-Perot model. Eur. Phys. J. Spec. Top. 226, 1563–1582 (2017). https://doi.org/10.1140/epjst/e2016-60341-8
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DOI: https://doi.org/10.1140/epjst/e2016-60341-8