Perturbing scattering resonances in non-Hermitian systems: a generalized Wigner-Smith operator formulation
arXiv:2408.11360 · doi:10.1016/j.newton.2025.100194
Abstract
Resonances of open non-Hermitian systems are associated with the poles of the system scattering matrix. Perturbations of the system cause these poles to shift in the complex frequency plane. In this work, we introduce a novel method for calculating shifts in scattering matrix poles using generalized Wigner-Smith operators. We link our method to traditional cavity perturbation theory and validate its effectiveness through application to complex photonic networks. Our findings underscore the versatility of generalized Wigner-Smith operators for analyzing a broad spectrum of resonant systems and provides new insight into resonant properties of non-Hermitian systems.
References in corpus (31)
- Quantum sensing
- Non-Hermitian Physics
- Coherent Perfect Absorbers: Time-reversed Lasers
- Light fields in complex media: mesoscopic scattering meets wave control
- Light interaction with photonic and plasmonic resonances
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Coherent perfect absorbers: linear control of light with light
- Waves in Open Systems: Eigenfunction Expansions
- Adaptive pumping for spectral control of random lasers
- Strongly enhanced light-matter interaction in a hybrid photonic-plasmonic resonator
- Taming random lasers through active spatial control of the pump
- Lattice Perturbation Theory
- Quasinormal mode solvers for resonators with dispersive materials
- Focusing inside Disordered Media with the Generalized Wigner-Smith Operator
- Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality
- Wigner time delay and related concepts -- Application to transport in coherent conductors
- Customized anti-reflection structure for perfect transmission through complex media
- Resonances in open quantum systems
- Maximum information states for coherent scattering measurements
- Optimal Wave Fields for Micro-manipulation in Complex Scattering Environments
- How to calculate the pole expansion of the optical scattering matrix from the resonant states
- Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
- Generalizing normal mode expansion of electromagnetic Green's tensor to lossy resonators in open systems
- Perturbing open cavities: Anomalous resonance frequency shifts in a hybrid cavity-nanoantenna system
- The LANER: optical networks as complex lasers
- Wigner-Smith Time Delay Matrix for Electromagnetics: Theory and Phenomenology
- Dielectric perturbations: anomalous resonance frequency shifts in optical resonators
- Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
- Wigner-Smith Time Delay Matrix for Electromagnetics: Systems with Material Dispersion and Losses
- Generalized Wigner-Smith analysis of resonance perturbations in arbitrary non-Hermitian systems
- Graph model for multiple scattering in lithium niobate on insulator integrated photonic networks