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An efficient solver for the generalized normal modes of non-uniform open optical resonators

Chen, Parry Y., Sivan, Yonatan and Muljarov, Egor A. 2020. An efficient solver for the generalized normal modes of non-uniform open optical resonators. Journal of Computational Physics 422 , 109754. 10.1016/j.jcp.2020.109754

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Abstract

Modal expansion is an attractive technique for solving electromagnetic scattering problems. With the one set of resonator modes, calculated once and for all, any configuration of near-field or far-field sources can be obtained almost instantaneously. Traditionally applied to closed systems, a simple and rigorous generalization of modal expansion to open systems using eigenpermittivity states is also available. These open modes are suitable for typical nanophotonic systems, for example. However, the numerical generation of modes is usually the most difficult and time-consuming step of modal expansion techniques. Here, we demonstrate efficient and reliable mode generation, expanding the target modes into the modes of a simpler open system that are known. Such a re-expansion technique is implemented for resonators with non-uniform permittivity profiles, demonstrating its rapid convergence. Key to the method's success is the inclusion of a set of longitudinal basis modes.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Publisher: Elsevier
ISSN: 0021-9991
Date of First Compliant Deposit: 5 August 2020
Date of Acceptance: 31 July 2020
Last Modified: 13 Oct 2021 05:45
URI: http://orca.cardiff.ac.uk/id/eprint/133952

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