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arXiv · 1902.08120

First-order perturbation theory for material changes in the surrounding of open optical resonators

Steffen Both·Thomas Weiss
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Abstract

The single-mode approximation of the resonant state expansion has proven to give accurate first-order approximations of resonance shifts and linewidth changes when modifying the material properties inside open optical resonators. Here, we extend this first-order perturbation theory to modifications of the material properties in the surrounding medium. As a side product of our derivations, we retrieve the already known analytical normalization condition for resonant states. We apply our theory to two example systems: A metallic nanosphere and a one-dimensional photonic crystal slab.

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Steffen Both, Thomas Weiss. 2019-02-21. First-order perturbation theory for material changes in the surrounding of open optical resonators. https://doi.org/10.1364/ol.44.005917

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