A Riesz-projection-based method for nonlinear eigenvalue problems
arXiv:1811.11624 · doi:10.1016/j.jcp.2020.109678
Abstract
We propose an algorithm for general nonlinear eigenvalue problems to compute physically relevant eigenvalues within a chosen contour. Eigenvalue information is explored by contour integration incorporating different weight functions. The gathered information is processed by solving a nonlinear system of equations of small dimension prioritizing eigenvalues with high physical impact. No auxiliary functions have to be introduced since linearization is not used. The numerical implementation is straightforward as the evaluation of the integrand can be regarded as a blackbox. We apply the method to a quantum mechanical problem and to two nanophotonic systems.
References in corpus (9)
- Light interaction with photonic and plasmonic resonances
- Nonlocal optical response in metallic nanostructures
- Waves in Open Systems: Eigenfunction Expansions
- Rigorous modal analysis of plasmonic nanoresonators
- Quasinormal mode solvers for resonators with dispersive materials
- Quasimodal expansion of electromagnetic fields in open two-dimensionnal structures
- Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators
- Extracting an accurate model for permittivity from experimental data : Hunting complex poles from the real line
- Modal analysis for nanoplasmonics with nonlocal material properties
Cited by in corpus (3)
- Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
- Physically Agnostic Quasinormal Mode Expansion in Time Dispersive Structures:from Mechanical Vibrations to Nanophotonic Resonances
- Resonance expansion of quadratic quantities with regularized quasinormal modes