Physically Agnostic Quasinormal Mode Expansion in Time Dispersive Structures:from Mechanical Vibrations to Nanophotonic Resonances

Abstract

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.

23 pages, 6 figures, dedicated to Natasha and Sasha Movchan on the occasion of their jubilee

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Cited by in corpus (6)

• Poles and zeros in non-Hermitian systems: Application to photonics
• Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach
• Efficient rational approximation of optical response functions with the AAA algorithm
• Uncovering hidden resonances in non-Hermitian systems with scattering thresholds
• Resonance expansion of quadratic quantities with regularized quasinormal modes
• Improving performance of contour integral-based nonlinear eigensolvers with infinite GMRES