# Photonics in highly dispersive media: the exact modal expansion.

@article{Zolla2018PhotonicsIH, title={Photonics in highly dispersive media: the exact modal expansion.}, author={Fr{\'e}d{\'e}ric Zolla and A. Nicolet and Guillaume Dem{\'e}sy}, journal={Optics letters}, year={2018}, volume={43 23}, pages={ 5813-5816 } }

We present exact modal expansions for photonic systems including highly dispersive media. The formulas, based on a simple version of the Keldyš theorem, are very general since both permeability and permittivity can be dispersive, anisotropic, and even possibly nonreciprocal. A simple dispersive test case where both plasmonic and geometrical resonances strongly interact exemplifies the numerical efficiency of our approach.

## 25 Citations

The exact Dispersive Quasi-Normal Mode (DQNM) expansion for photonic structures with highly dispersive media in unbounded geometries

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- 2019

In this paper, we present recent developments in our modal expansion technique for electromagnetic structures with highly dispersive media and its application for unbounded geometries. The expansion…

Continuous family of exact Dispersive Quasi-Normal Modal (DQNM) expansions for dispersive photonic structures.

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- 2020

The non-uniqueness of the expansions related to the over-completeness of the set of modes is emphasized and a family of DQNM expansions depending on continuous parameters that can be freely chosen are discussed.

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- 2020

By exploiting the structure of Maxwell's equations, conjugate-symmetric frequency-domain field expansions can be efficiently computed via a Lanczos-type algorithm and Dominant QNMs can be identified a posteriori with error control and without a priori mode selection.

Modal analysis of photonic and plasmonic resonators

- Physics
- 2020

Determining the electromagnetic field response of photonic and plasmonic resonators is a formidable task in general. Field expansions in terms of quasi-normal modes (QNMs) are often used, since only…

Quasinormal mode solvers for resonators with dispersive materials.

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This work benchmarks several methods for implementing efficient and accurate QNM solvers for computing and normalizing the QNMs of micro- and nanoresonators made of highly dispersive materials, and compares them to elaborate standards for the computation of resonance modes.

Dispersive Quasi-Normal Mode (DQNM) Expansion in Open and Periodic Nanophotonic Structures

- Physics2019 22nd International Conference on the Computation of Electromagnetic Fields (COMPUMAG)
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This paper reviews recent developments in our modal expansion technique for the scattering problem of unbounded electromagnetic structures with highly dispersive media. The technique makes use of…

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- 2022

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- 2020

We discuss an approach for modal expansion of optical far-field quantities based on quasinormal modes (QNMs). The issue of the exponential divergence of QNMs is circumvented by contour integration of…

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- Physics
- 2020

The idea of the modal expansion in electromagnetics is derived from the research on electromagnetic resonators, which play an essential role in developments in nanophotonics. All of the…

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