Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems

Abstract

We show how one can use a non-local boundary condition, which is compatible with standard frequency domain methods, for numerical calculation of quasinormal modes in optical cavities coupled to waveguides. In addition, we extend the definition of the quasinormal mode norm by use of the theory of divergent series to provide a framework for modeling of optical phenomena in such coupled cavity-waveguide systems. As an example, we apply the framework to study perturbative changes in the resonance frequency and Q value of a photonic crystal cavity coupled to a defect waveguide.

arXiv comment4 pages, 3 figures

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• Generalizing normal mode expansion of electromagnetic Green's tensor to lossy resonators in open systems
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• Hybrid Photonic-Plasmonic Cavities based on the Nanoparticle-on-a-Mirror Configuration
• Regularized quasinormal modes for plasmonic resonators and open cavities
• Spectral symmetry of Fano resonances in a waveguide coupled to a microcavity
• Semi-analytical quasi-normal mode theory for the local density of states in coupled photonic crystal cavity-waveguide structures
• Reciprocity approach for calculating the Purcell effect for emission into an open optical system
• Impact of mode regularization for quasinormal mode perturbation theories
• Gain-compensated metal cavity modes and a million-fold improvement of Purcell factors
• Green's function expansion for multiple coupled optical resonators with finite retardation using quasinormal modes