On the theory of coupled modes in optical cavity-waveguide structures

Abstract

Light propagation in systems of optical cavities coupled to waveguides can be conveniently described by a general rate equation model known as (temporal) coupled mode theory (CMT). We present an alternative derivation of the CMT for optical cavity-waveguide structures, which explicitly relies on the treatment of the cavity modes as quasinormal modes with properties that are distinctly different from those of the modes in the waveguides. The two families of modes are coupled via the field equivalence principle to provide a physically appealing yet surprisingly accurate description of light propagation in the coupled systems. Practical application of the theory is illustrated using example calculations in one and two dimensions.

arXiv comment14 pages, 9 figures

References in corpus (19)

• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Scalable photonic quantum computation through cavity-assisted interaction
• Modes and Mode Volumes of Leaky Optical Cavities and Plasmonic Nanoresonators
• Effective mode volumes and Purcell factors for leaky optical cavities
• Efficient Photonic Crystal Cavity-Waveguide Couplers
• Brillouin-Wigner perturbation theory in open electromagnetic systems
• Normalization of quasinormal modes in leaky optical cavities and plasmonic resonators
• Quasinormal mode approach to modelling light-emission and propagation in nanoplasmonics
• Quasinormal-mode expansion of the scattering matrix
• On the numerical simulation of Kerr frequency combs using coupled mode equations
• Interplay of plasma-induced and fast thermal nonlinearities in a GaAs-based photonic crystal nanocavity
• Second-quantization of open systems using quasinormal modes
• Design of an efficient single photon source from a metallic nanorod dimer: a quasinormal mode finite-difference time-domain approach
• Strongly coupled single quantum dot in a photonic crystal waveguide cavity
• Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems
• A roundtrip matrix method for calculating the leaky resonant modes of open nanophotonic structures
• Quasi Normal Modes description of transmission properties for Photonic Band Gap structures
• Semi-analytical quasi-normal mode theory for the local density of states in coupled photonic crystal cavity-waveguide structures
• Spectral symmetry of Fano resonances in a waveguide coupled to a microcavity

Cited by in corpus (13)

• Light interaction with photonic and plasmonic resonances
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• Temporal coupled-mode theory in nonlinear resonant photonics: From basic principles to contemporary systems with 2D materials, dispersion, loss, and gain
• Efficient near-field to far-field transformations for quasinormal modes of optical cavities and plasmonic resonators
• Regularized quasinormal modes for plasmonic resonators and open cavities
• Quantum light-matter interaction and controlled phonon scattering in a photonic Fano cavity
• Dissipative modes, Purcell factors and directional beta factors in gold bowtie nanoantenna structures
• Connecting classical and quantum mode theories for coupled lossy cavity resonators using quasinormal modes
• Classical Purcell factors and spontaneous emission decay rates in a linear gain medium
• Impact of mode regularization for quasinormal mode perturbation theories
• Generalized coupled mode formalism in reciprocal waveguides with gain/loss, anisotropy or bianisotropy
• Two-dimensional phase-space picture of the photonic crystal Fano laser
• Self-pulsing dynamics in microscopic lasers with dispersive mirrors