Dielectric Square Resonator Investigated with Microwave Experiments
arXiv:1407.1802 · doi:10.1103/PhysRevE.90.052909
Abstract
We present a detailed experimental study of the symmetry properties and the momentum space representation of the field distributions of a dielectric square resonator as well as the comparison with a semiclassical model. The experiments have been performed with a flat ceramic microwave resonator. Both the resonance spectra and the field distributions were measured. The momentum space representations of the latter evidenced that the resonant states are each related to a specific classical torus, leading to the regular structure of the spectrum. Furthermore, they allow for a precise determination of the refractive index. Measurements with different arrangements of the emitting and the receiving antennas were performed and their influence on the symmetry properties of the field distributions was investigated in detail, showing that resonances with specific symmetries can be selected purposefully. In addition, the length spectrum deduced from the measured resonance spectra and the trace formula for the dielectric square resonator are discussed in the framework of the semiclassical model.
arXiv comment20 pages, 13 figures, 3 tables
References in corpus (32)
- Boundary element method for resonances in dielectric microcavities
- Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities
- Hexagonal dielectric resonators and microcrystal lasers
- Zeolite-dye micro lasers
- Taming random lasers through active spatial control of the pump
- Quantum chaos in optical systems: The annular billiard
- Circular dielectric cavity and its deformations
- Inferring periodic orbits from spectra of simple shaped micro-lasers
- A Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities
- First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
- Semiclassical Quantization of Billiards with Mixed Boundary Conditions
- Designing and understanding directional emission from spiral microlasers
- Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
- Trace formula for dieletric cavities : I. General properties
- Extreme Sensitivity of Output Directionality to Boundary Perturbation in Wavelength-Scale Microcavities
- Chaotic eigenfunctions in momentum space
- Electromagnetic modes in dielectric equilateral triangle resonators
- An insight into polarization states of solid-state organic lasers
- Experimental Test of a Two-dimensional Approximation for Dielectric Microcavities
- Multimode Coupling by Boundary Wave Scattering
- Experimental test of a trace formula for two-dimensional dielectric resonators
- Application of a trace formula to the spectra of flat three-dimensional dielectric resonators
- Experimental Observation of Localized Modes in a Dielectric Square Resonator
- Polarization properties and dispersion relations for spiral resonances of a dielectric rod
- On the theory of cavities with point-like perturbations. Part I: General theory
- Trace formula for chaotic dielectric resonators tested with microwave experiments
- Fresnel filtering of Gaussian beams in microcavities
- Trace formula for a dielectric microdisk with a point scatterer
- Trace formula for dielectric cavities III: TE modes
- Optical Scar in a chaotic fibre
- On the theory of cavities with point-like perturbations. Part II: Rectangular cavities
- Angular momentum localization in oval billiards