Experimental Examination of the Effect of Short Ray Trajectories in Two-port Wave-Chaotic Scattering Systems
arXiv:1006.3040 · doi:10.1103/PhysRevE.82.041114
Abstract
Predicting the statistics of realistic wave-chaotic scattering systems requires, in addition to random matrix theory, introduction of system-specific information. This paper investigates experimentally one aspect of system-specific behavior, namely the effects of short ray trajectories in wave-chaotic systems open to outside scattering channels. In particular, we consider ray trajectories of limited length that enter a scattering region through a channel (port) and subsequently exit through a channel (port). We show that a suitably averaged value of the impedance can be computed from these trajectories and that this can improve the ability to describe the statistical properties of the scattering systems. We illustrate and test these points through experiments on a realistic two-port microwave scattering billiard.
arXiv comment14 pages, 9 figures
References in corpus (31)
- Random-Matrix Theory of Quantum Transport
- The Statistical Theory of Quantum Dots
- Semiclassical Theory of Chaotic Quantum Transport
- Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
- GENERALIZED CIRCULAR ENSEMBLE OF SCATTERING MATRICES FOR A CHAOTIC CAVITY WITH NON-IDEAL LEADS
- Universal Impedance Fluctuations in Wave Chaotic Systems
- Quantum Graphs: A simple model for Chaotic Scattering
- Distribution of the S-matrix in chaotic microwave cavities with direct processes and absorption
- Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities
- Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
- Semiclassical Approach to Chaotic Quantum Transport
- Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption
- Statistics of Impedance and Scattering Matrices of Chaotic Microwave Cavities with Multiple Ports
- Characterization of Fluctuations of Impedance and Scattering Matrices in Wave Chaotic Scattering
- Universal Properties of 2-Port Scattering, Impedance and Admittance Matrices of Wave Chaotic Systems
- Interference Phenomena in Electronic Transport Through Chaotic Cavities: An Information-Theoretic Approach
- Conductance of Open Quantum Billiards and Classical Trajectories
- Fidelity amplitude of the scattering matrix in microwave cavities
- Complete S-matrix in a microwave cavity at room temperature
- Universal statistics of the local Green's function in quantum chaotic systems with absorption
- The effect of short ray trajectories on the scattering statistics of wave chaotic systems
- Experimental Test of Universal Conductance Fluctuations by means of Wave-Chaotic Microwave Cavities
- Universal and non-universal properties of wave chaotic scattering systems
- A Scanned Perturbation Technique For Imaging Electromagnetic Standing Wave Patterns of Microwave Cavities
- Semiclassical Construction of Random Wave Functions for Confined Systems
- Chaotic Scattering in the Regime of Weakly Overlapping Resonances
- Measurement of Wave Chaotic Eigenfunctions in the Time-Reversal Symmetry-Breaking Crossover Regime
- Boundary losses and spatial statistics of complex modes in a chaotic microwave cavity
- Statistical study of the conductance and shot noise in open quantum-chaotic cavities: Contribution from whispering gallery modes
- R-matrix theory of driven electromagnetic cavities
- Pseudo-Path Semiclassical Approximation to Transport through Open Quantum Billiards: Dyson Equation for Diffractive Scattering
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