Boundary element method for resonances in dielectric microcavities

Abstract

A boundary element method based on a Green's function technique is introduced to compute resonances with intermediate lifetimes in quasi-two-dimensional dielectric cavities. It can be applied to single or several optical resonators of arbitrary shape, including corners, for both TM and TE polarization. For cavities with symmetries a symmetry reduction is described. The existence of spurious solutions is discussed. The efficiency of the method is demonstrated by calculating resonances in two coupled hexagonal cavities.

9 pages, 7 figures (quality reduced)

References in corpus (5)

• Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
• Hexagonal microlasers based on organic dyes in nanoporous crystals
• Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators
• Observation of emission from chaotic lasing modes in deformed microspheres: displacement by the stable orbit modes
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Cited by in corpus (95)

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• Self-consistent multi-mode lasing theory for complex or random lasing media
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• Exterior optical cloaking and illusions by using active sources: a boundary element perspective
• Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission
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• Quality factors and dynamical tunneling in annular microcavities
• Signature of ray chaos in quasi-bound wave functions for a stadium-shaped dielectric cavity
• Petermann factors and phase rigidities near exceptional points
• Resonant state expansion applied to planar open optical systems
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Effects of boundary roughness on a Q-factor of whispering-gallery-mode lasing microdisk cavities
• Light emission patterns from stadium-shaped semiconductor microcavity lasers
• Directional interacting whispering gallery modes in coupled dielectric microdisks
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• Signature of Wave Chaos in Spectral Characteristics of Microcavity Lasers
• Observation of resonance-assisted dynamical tunneling in an asymmetric microcavity
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• Chaos-assisted nonresonant optical pumping of quadrupole-deformed microlasers
• Directional Emission from an Optical Microdisk Resonator with a Point Scatterer
• Chaos-assisted emission from asymmetric resonant cavity microlasers
• Lifetime statistics in chaotic dielectric microresonators
• Dielectric tuning and coupling of whispering gallery modes using an anisotropic prism
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• Trace formula for chaotic dielectric resonators tested with microwave experiments
• Regular Spectra and Universal Directionality of Emitted Radiation from a Quadrupolar Deformed Microcavity
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• Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
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• Classification of multiple arbitrary-order non-Hermitian singularities
• An Optimization Method of Asymmetric Resonant Cavities for Unidirectional Emission
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• Collimated directional emission from a peanut-shaped microresonator
• Self-adjustment of a nonlinear lasing mode to a pumped area in a two-dimensional microcavity
• Non-Hermitian Hamiltonian and Lamb shift in circular dielectric microcavity
• Opto-mechanical probes of resonances in amplifying microresonators
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• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• Indicators of wavefunction (de)localization in the avoided crossing in a quadrupole cavity
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• Experimental Observation of Bohr's Nonlinear Fluidic Surface Oscillation
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