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How to calculate the pole expansion of the optical scattering matrix from the resonant states

Weiss, T. and Muljarov, Egor A. 2018. How to calculate the pole expansion of the optical scattering matrix from the resonant states. Physical Review B 98 (8) , 085433. 10.1103/PhysRevB.98.085433

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Abstract

We present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their wave numbers, and their electromagnetic fields. Particularly, our approach provides an accurate description of the optical scattering matrix without the requirement of a fit for the pole contributions, or the restriction to geometries, or systems with low Ohmic losses. Hence, it is possible to derive the analytic dependence of the scattering matrix on the wave number with low computational effort, which allows for avoiding the artificial frequency discretization of conventional frequency-domain solvers of Maxwell's equations and for finding the optical far- and near-field response based on the physically meaningful resonant states. This is demonstrated for three test systems, including a chiral arrangement of nanoantennas, for which we calculate the absorption and the circular dichroism.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Physics and Astronomy
Publisher: American Physical Society
ISSN: 2469-9950
Date of First Compliant Deposit: 30 August 2018
Date of Acceptance: 27 August 2018
Last Modified: 31 Aug 2018 14:39
URI: http://orca.cf.ac.uk/id/eprint/114507

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