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Quasinormal mode solvers for resonators with dispersive materials.

P Lalanne, W Yan, A Gras

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|May 3, 2019

Summary

Calculating quasinormal modes (QNMs) for optical resonators with dispersive materials is challenging. This study presents efficient solvers for accurate QNM computation in micro- and nanoresonators, aiming to establish industry standards.

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Area of Science:

Photonics
Computational Electromagnetics
Materials Science

Background:

Optical resonators are crucial components in modern photonics.
Their behavior is governed by quasinormal modes (QNMs) with complex frequencies.
Dispersive materials in resonators introduce a nonlinear eigenvalue problem for QNM computation, a poorly documented challenge.

Purpose of the Study:

To review and implement efficient and accurate QNM solvers.
To address the challenges of computing QNMs for micro- and nanoresonators made of dispersive materials.
To benchmark various QNM computation methods and propose standards.

Main Methods:

Development of efficient and accurate QNM solvers.
Benchmarking of several QNM computation methods.
Application to diverse resonator geometries: 2D plasmonic crystal, 2D metal grating, and 3D nanopatch antenna.

Main Results:

Successful implementation of QNM solvers for dispersive optical resonators.
Comparative analysis of different computational methods across various geometries.
Demonstration of accurate QNM computation and normalization for micro- and nanoresonators.

Conclusions:

Efficient QNM solvers are crucial for understanding optical resonators with dispersive materials.
The developed methods provide accurate computation and normalization of QNMs.
This work lays the groundwork for establishing standards in QNM computation for nanophotonics.