Resonant-state expansion for planar photonic-crystal structures

Neale, Sam and Muljarov, Egor ORCID: https://orcid.org/0000-0002-2878-4148 2020. Resonant-state expansion for planar photonic-crystal structures. Physical Review B 101 (15) , 155128. 10.1103/PhysRevB.101.155128

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Abstract

We present a powerful concept in the field of photonic crystals and metamaterials, applying the resonant-state expansion (RSE) to planar photonic crystal structures. The RSE allows us to understand and quantify optical resonances in photonic crystal structures in terms of the analytic resonant states of a homogeneous planar waveguide. The RSE provides an efficient and reliable tool for accurate calculation of a complete set of the resonant states of a photonic crystal slab, which is required for the correct description and a better understanding of its optical spectra. For the proof of principle, numerical verification of the RSE, and demonstration of its unprecedented accuracy and convergence, an infinite planar photonic crystal slab periodic in one dimension is taken as an example. To illustrate the power of this approach, we consider the mode evolution with the amplitude of the periodic modulation, revealing the role of the guided modes in the formation of bound states in the continuum.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	2469-9950
Date of First Compliant Deposit:	27 January 2020
Date of Acceptance:	22 January 2020
Last Modified:	04 May 2023 18:37
URI:	https://orca.cardiff.ac.uk/id/eprint/129069

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