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

Pier Domenico Lamberti; Paolo Luzzini; Michele Zaccaron

doi:10.1002/mma.10270

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

Pier Domenico Lamberti
, Paolo Luzzini
, Michele Zaccaron

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	12507-12525
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	47
Issue number	16
DOIs	https://doi.org/10.1002/mma.10270
Publication status	Published - 15 Nov 2024

Keywords

Maxwell's equations
cavities
eigenvalue problem
optimization
permittivity variations

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10.1002/mma.10270

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title = "On the optimization of Maxwell's eigenvalues as functions of the electric permittivity in a cavity",

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.",

keywords = "Maxwell's equations, cavities, eigenvalue problem, optimization, permittivity variations",

author = "Lamberti, \{Pier Domenico\} and Paolo Luzzini and Michele Zaccaron",

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T1 - On the optimization of Maxwell's eigenvalues as functions of the electric permittivity in a cavity

AU - Lamberti, Pier Domenico

AU - Luzzini, Paolo

AU - Zaccaron, Michele

PY - 2024/11/15

Y1 - 2024/11/15

N2 - 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.

AB - 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.

KW - Maxwell's equations

KW - cavities

KW - eigenvalue problem

KW - optimization

KW - permittivity variations

UR - https://www.scopus.com/pages/publications/85196271912

U2 - 10.1002/mma.10270

DO - 10.1002/mma.10270

M3 - Article

SN - 0170-4214

VL - 47

SP - 12507

EP - 12525

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 16

ER -

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

Abstract

Keywords

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