Almousa, S. F. and Muljarov, E. A.  ORCID: https://orcid.org/0000-0002-2878-4148
2023.
Exact theory and approximations for optical resonators in a changing external medium.
Physical Review B
107
(8)
, L081401.
10.1103/PhysRevB.107.L081401
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Abstract
Finding reliably and efficiently the spectrum of the resonant states of an optical system under varying parameters of the medium surrounding it is a technologically important task, primarily due to various sensing applications. Computationally, it presents, however, a fundamental challenge owing to the nature of the eigenstates of an open system lacking completeness outside it. We solve this challenge by making a linear transformation of Maxwell's equations which maps perturbations of the surrounding medium onto effective perturbations within the system where the resonant states are complete. By treating such perturbations with a rigorous resonant-state expansion, we find the modified modes of the system for arbitrary homogeneous perturbations of the medium with any required accuracy. A numerically efficient single-mode approximation is shown to be highly accurate, as illustrated for various plasmonic nanoparticles, including gold nanospheres and silver bowtie antennas.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Physics and Astronomy |
| Publisher: | American Physical Society |
| ISSN: | 2469-9950 |
| Date of First Compliant Deposit: | 10 February 2023 |
| Date of Acceptance: | 24 January 2023 |
| Last Modified: | 20 Nov 2024 03:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/156870 |
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