Analytical normalization of resonant states in photonic crystal slabs and periodic arrays of nanoantennas at oblique incidence

Weiss, T., Schäferling, M., Giessen, H., Gippius, N. A., Tikhodeev, S. G., Langbein, Wolfgang ORCID: https://orcid.org/0000-0001-9786-1023 and Muljarov, Egor ORCID: https://orcid.org/0000-0002-2878-4148 2017. Analytical normalization of resonant states in photonic crystal slabs and periodic arrays of nanoantennas at oblique incidence. Physical Review B 96 (4) , 045129. 10.1103/PhysRevB.96.045129

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Abstract

We present an analytical formulation for the normalization of resonant states at oblique incidence in one- and two-dimensional periodic structures with top and bottom boundaries to homogeneous space, such as photonic crystal slabs and arrays of nanoantennas. The normalization is validated by comparing the resonant state expansion using one and two resonant states with numerically exact results. The predicted changes of resonance frequency and linewidth due to perturbations of refractive index or geometry can be used to study resonantly enhanced refractive index sensing as well as the influence of disorder. In addition, the normalization is essential for the calculation of the Purcell factor.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	24699950
Date of First Compliant Deposit:	21 July 2017
Date of Acceptance:	2 June 2017
Last Modified:	05 May 2023 22:46
URI:	https://orca.cardiff.ac.uk/id/eprint/102731

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