Decay Rates of Optical Modes Unveil the Island Structures in Mixed Phase Space
arXiv:2502.07407 · doi:10.1103/PhysRevA.111.033509
Abstract
We explore the decay rates of optical modes in asymmetric microcavities with mixed phase space across a wide range of wavelengths that extend deep into the semiclassical, i.e., short-wavelength limit. Implementing an efficient numerical method, we computed 1000000 eigenmodes and discovered that certain decay rates form sequential separate branches with increasing wavenumber that eventually merge into smooth curves. The analysis of the localization properties and Husimi distributions reveals that each branch corresponds to a periodic orbit in the closed classical system. Our findings show that these decay rates gradually resolve the structure of the islands in mixed phase space as we approach the short-wavelength limit. We present an effective semiclassical model incorporating wavenumber-dependent localization, Fresnel reflection, and the Goos-Haenchen shift and demonstrate that these effects are crucial in accounting for the observed branches of decay rate curves.
References in corpus (32)
- Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
- Ray and wave chaos in asymmetric resonant optical cavities
- Pump-induced Exceptional Points in Lasers
- Repulsion of Resonance States and Exceptional Points
- Observation of coherent perfect absorption at an exceptional point
- Combining directional light output and ultralow loss in deformed microdisks
- Observation of an exceptional point in a chaotic optical microcavity
- Boundary element method for resonances in dielectric microcavities
- Exceptional Points in Atomic Spectra
- Chaos-assisted directional light emission from microcavity lasers
- Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
- Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Suppressing spatio-temporal lasing instabilities with wave-chaotic microcavities
- Circular dielectric cavity and its deformations
- Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
- Fresnel laws at curved dielectric interfaces of microresonators
- A Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities
- Poincaré Husimi representation of eigenstates in quantum billiards
- Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
- Closed form expression for the Goos-Haenchen lateral displacement
- Expanded boundary integral method and chaotic time-reversal doublets in quantum billiards
- Trace formula for dieletric cavities : I. General properties
- Signature of Wave Chaos in Spectral Characteristics of Microcavity Lasers
- Lifetime statistics in chaotic dielectric microresonators
- Experimental test of a trace formula for two-dimensional dielectric resonators
- Trace formula for chaotic dielectric resonators tested with microwave experiments
- Resonance--Assisted Tunneling in Deformed Optical Microdisks with a Mixed Phase Space
- Classification of multiple arbitrary-order non-Hermitian singularities
- Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
- Bloch theorem dictated wave chaos in microcavity crystals
- Semiclassical Limit of Resonance States in Chaotic Scattering