On the optimization of Maxwell's eigenvalues as functions of the electric permittivity in a cavity-Reference-Cited by-同舟云学术

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On the optimization of Maxwell's eigenvalues as functions of the electric permittivity in a cavity

Published:2024-06-18 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Lamberti Pier Domenico¹^ORCID,Luzzini Paolo²,Zaccaron Michele³

Affiliation:

1. Dipartimento di Tecnica e Gestione dei Sistemi Industriali Università degli Studi di Padova Vicenza Italy

2. Dipartimento di Scienze e Innovazione Tecnologica Università del Piemonte Orientale “Amedeo Avogadro” Alessandria Italy

3. Aix Marseille Univ, CNRS, Centrale Med Institut Fresnel Marseille France

Abstract

We formulate an optimization problem for the dependence of the eigenvalues of Maxwell's equations in a cavity with perfect electric conducting boundary upon variation of the electric permittivity, and we prove a corresponding Maximum Principle.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10270

Reference46 articles.

1. Mathematical Analysis and Numerical Methods for Science and Technology

2. Finite Element Methods for Navier-Stokes Equations

3. Finite Element Methods for Maxwell's Equations

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