Non-linear eigenvalues; Physically agnostic algorithm; Quasi normal mode expansion; Resonances; Dispersive structures; Eigen-value; Hermitians; Non linear; Non-linear eigenvalue; Normal mode expansion; Normal modes; Time dispersive; Materials Science (all); Mechanics of Materials; Mechanical Engineering; Physics and Astronomy (all); Physics - Optics; Physics - Computational Physics; 65N25, 35B34, 78-10, 78A25, 78M10, 70J10, 74S05; G.1.8
Abstract :
[en] Resonances, also known as quasi normal modes (QNM) in the non-Hermitian case, play an ubiquitous role in all domains of physics ruled by wave phenomena, notably in continuum mechanics, acoustics, electrodynamics, and quantum theory. In this paper, we present a QNM expansion for dispersive systems, recently applied to photonics but based on sixty year old techniques in mechanics. The resulting numerical algorithm appears to be physically agnostic, that is independent of the considered physical problem and can therefore be implemented as a mere toolbox in a nonlinear eigenvalue computation library.
Disciplines :
Physics
Author, co-author :
Nicolet, André ; Aix Marseille University, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France
Demésy, Guillaume; Aix Marseille University, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France
Zolla, Frédéric; Aix Marseille University, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France
Campos, Carmen ; Universitat de València, D. Didáctica de la Matemática, València, Spain
Roman, Jose E. ; Universitat Politècnica de València, D. Sistemes Informàtics i Computació, València, Spain
Geuzaine, Christophe ; Université de Liège - ULiège > Département d'électricité, électronique et informatique (Institut Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
Physically agnostic quasi normal mode expansion in time dispersive structures: From mechanical vibrations to nanophotonic resonances
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