Permittivity optimization for Maxwell's eigenvalues

2023/11/27 by Pier Domenico Lamberti, Lamberti, Pier Domenico, Paolo Luzzini +3
Computer Science · Engineering · Mathematics · #35P15 #35Q60 #35Q61 #35Q93 #78M50 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2311.16271

openalex publication_date 2023/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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

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