Multipoles made simple and universal

Marco Riccardi; Andrei Kiselev; Karim Achouri; Olivier J. F. Martin

doi:10.1117/12.2633419

3 October 2022 Multipoles made simple and universal

Marco Riccardi, Andrei Kiselev, Karim Achouri, Olivier J. F. Martin

Proceedings Volume PC12197, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XX; PC1219703 (2022) https://doi.org/10.1117/12.2633419
Event: SPIE Nanoscience + Engineering, 2022, San Diego, California, United States

Abstract

While multipoles expansions have become ubiquitous in the analysis of plasmonic and dielectric nanostructures and metasurfaces, their zoology remains quite complex. Depending on the physical system, it appears that different multipoles families – including somewhat exotic toroidal multipoles – are required to compute the response of the system. In this work, we present a facile derivation of the three multipoles families: the Cartesian primitive multipoles, the Cartesian irreducible multipoles and the spherical multipoles. We illustrate the links between them and demonstrate their utilization in practical situations to guide experiments.

Conference Presentation

Citation Download Citation

Marco Riccardi, Andrei Kiselev, Karim Achouri, and Olivier J. F. Martin "Multipoles made simple and universal", Proc. SPIE PC12197, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XX, PC1219703 (3 October 2022); https://doi.org/10.1117/12.2633419

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