1 citations · 1 across the 3 of their papers we have counts for
4 papers · 1 filter
Geometric spectral properties of electromagnetic waveguides
Philippe Briet, Maxence Cassier, Thomas Ourmières-Bonafos +1
Consider a reference homogeneous and isotropic electromagnetic waveguide with a simply connected cross-section embedded in a perfect conductor. In this setting, when the waveguide…
Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron
We study eigenvalue problems for the de Rham complex on varying three dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed bou…
Permittivity optimization for Maxwell's eigenvalues
Pier Domenico Lamberti, Paolo Luzzini, Michele Zaccaron
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 correspondi…
Spectral stability of the operator via uniform Gaffney inequalities on perturbed electromagnetic cavities
Pier Domenico Lamberti, Michele Zaccaron
We prove spectral stability results for the operator subject to electric boundary conditions on a cavity upon boundary perturbations. The cavities are assumed to be suf…