Correcting ray optics at curved dielectric microresonator interfaces: Phase-space unification of Fresnel filtering and the Goos-Haenchen shift

Abstract

We develop an amended ray optics description for reflection at the curved dielectric interfaces of optical microresonators which improves the agreement with wave optics by about one order of magnitude. The corrections are separated into two contributions of similar magnitude, corresponding to ray displacement in independent quantum phase space directions, which can be identified with Fresnel filtering and the Goos-Haenchen shift, respectively. Hence we unify two effects which only have been studied separately in the past.

4 pages, 5 figures

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• Inferring periodic orbits from spectra of simple shaped micro-lasers
• Goos-Haenchen shift and localization of optical modes in deformed microcavities
• Ray-wave correspondence in limacon-shaped semiconductor microcavities
• Giant quantized Goos-Hänchen effect on the surface of graphene in quantum Hall regime
• Local chirality of optical waves in ultrasmall resonators
• Quantized beam shifts in graphene
• Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
• Closed form expression for the Goos-Haenchen lateral displacement
• Dynamical tunneling-assisted coupling of high-Q deformed microcavities using a free-space beam
• Spatial Coherence and Optical Beam Shifts
• Quantum Goos-Hänchen shift and tunneling transmission at a curved step potential
• Observation of nonspecular effects for Gaussian Schell-model light beams
• Are Fresnel filtering and the angular Goos-Hänchen shift the same?
• Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law
• In-out decomposition of boundary integral equations
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Semiclassical wavefunctions for open quantum billiards
• Fresnel filtering of Gaussian beams in microcavities
• Classification of multiple arbitrary-order non-Hermitian singularities
• Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
• Non-Hermitian Hamiltonian and Lamb shift in circular dielectric microcavity
• Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances
• Electromagnetic modes in cavities made of negative-index metamaterials
• Ray model and ray-wave correspondence in coupled optical microdisks
• Optical microcavities as quantum-chaotic model systems: Openness makes the difference!
• Consequences of a wave-correction extended ray dynamics for integrable and chaotic optical microcavities
• Behavior of three modes of decay channels and their self-energies of elliptic dielectric microcavity
• Optical weak measurements without removing the Goos-Haenchen phase
• Universality and beyond in optical microcavity billiards with source-induced dynamics
• Ray picture and ray-wave correspondence in triangular microlasers
• Exceptional-point-controlled mode interaction in three-dimensional microcavities represented by generalized Husimi functions
• Some Wave Equations for Electromagnetism and Gravitation