Quasi-Scarred Resonances in a Spiral-Shaped Microcavity
arXiv:nlin/0403025 · doi:10.1103/PhysRevLett.93.164102
Abstract
We study resonance patterns of a spiral-shaped dielectric microcavity with chaotic ray dynamics. Many resonance patterns of this microcavity, with refractive indices and 3, exhibit strong localization of simple geometric shape, and we call them {\em quasi-scarred resonances} in the sense that there is, unlike the conventional scarring, no underlying periodic orbits. It is shown that the formation of quasi-scarred pattern can be understood in ter ms of ray dynamical probability distributions and wave properties like uncertainty and interference.
4 pages, 5 figures. to appear in Phys. Rev. Lett
References in corpus (9)
- High-Power Directional Emission from Microlasers with Chaotic Resonators
- Boundary element method for resonances in dielectric microcavities
- Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
- Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators
- Fresnel laws at curved dielectric interfaces of microresonators
- Deviation from Snell's Law for Beams Transmitted Near the Critical Angle: Application to Microcavity Lasers
- Scarred Patterns in Surface Waves
- Scarring and the statistics of tunnelling
- Wavefunction Statistics using Scar States
Cited by in corpus (52)
- Non-Hermitian Physics
- Geometrical structure of Laplacian eigenfunctions
- Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
- Leaking Chaotic Systems
- Asymmetric scattering and non-orthogonal mode patterns in optical micro-spirals
- Circular dielectric cavity and its deformations
- Correcting ray optics at curved dielectric microresonator interfaces: Phase-space unification of Fresnel filtering and the Goos-Haenchen shift
- Scarred Resonances and Steady Probability Distribution in a Chaotic Microcavity
- Poincare recurrences and transient chaos in systems with leaks
- Coupled non-identical microdisks: avoided crossing of energy levels and unidirectional far-field emission
- Designing and understanding directional emission from spiral microlasers
- Directional emission of stadium-shaped micro-lasers
- Resonances in open quantum maps
- Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
- Signature of ray chaos in quasi-bound wave functions for a stadium-shaped dielectric cavity
- Poincare recurrences from the perspective of transient chaos
- Emission from dielectric cavities in terms of invariant sets of the chaotic ray dynamics
- Directional interacting whispering gallery modes in coupled dielectric microdisks
- Light emission patterns from stadium-shaped semiconductor microcavity lasers
- Quantum chaotic resonances from short periodic orbits
- Excess quantum noise due to mode nonorthogonality in dielectric microresonators
- Survival probability time distribution in dielectric cavities
- Ray-wave correspondence in the nonlinear description of stadium-cavity lasers
- Spatial structure of lasing modes in wave-chaotic semiconductor microcavities
- Resonance distribution in open quantum chaotic systems
- A model for chaotic dielectric microresonators
- Resonance eigenfunction hypothesis for chaotic systems
- Are Fresnel filtering and the angular Goos-Hänchen shift the same?
- In-out decomposition of boundary integral equations
- Structure of resonance eigenfunctions for chaotic systems with partial escape
- Localization of Chaotic Resonance States due to a Partial Transport Barrier
- Outer Resonances and Effective Potential Analogy in Two-Dimensional Dielectric Cavities
- Universal intensity statistics of multifractal resonance states
- Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
- Fresnel filtering of Gaussian beams in microcavities
- Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power
- Decay of semiclassical massless Dirac fermions from integrable and chaotic cavities
- Chaotic Explosions
- Correlation Function Bootstrapping in Quantum Chaotic Systems
- Quantum-classical correspondence in the wavefunctions of Andreev billiards
- Non-Hermitian Hamiltonian and Lamb shift in circular dielectric microcavity
- Chaos based Berry phase detector
- Variational Scarring in Graphene Quantum Dots
- Quasiscarred modes and their branching behavior at an exceptional point
- Local random vector model for semiclassical fractal structure of chaotic resonance states
- Indicators of wavefunction (de)localization in the avoided crossing in a quadrupole cavity
- Resonance states of the three-disk scattering system
- Optical microcavities as quantum-chaotic model systems: Openness makes the difference!
- Semiclassical Limit of Resonance States in Chaotic Scattering
- Behavior of three modes of decay channels and their self-energies of elliptic dielectric microcavity
- Weyl law for contractive maps
- Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization