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.

14 pages, 9 figures

References in corpus (5)

• Brillouin-Wigner perturbation theory in open electromagnetic systems
• Design of an efficient single photon source from a metallic nanorod dimer: a quasinormal mode finite-difference time-domain approach
• 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
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• 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