The effect of short ray trajectories on the scattering statistics of wave chaotic systems
arXiv:0906.4086 · doi:10.1103/PhysRevE.80.041109
Abstract
In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system specific information into the statistical model, such as the introduction of the average scattering matrix in the Poisson kernel. Here it is shown that the average impedance matrix, which also characterizes the system-specific properties, can be expressed in terms of classical trajectories that travel between ports and thus can be calculated semiclassically. Theoretical results are compared with numerical solutions for a model wave-chaotic system.
References in corpus (5)
- Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
- 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
- Universal statistics of the local Green's function in quantum chaotic systems with absorption
- Experimental Test of Universal Conductance Fluctuations by means of Wave-Chaotic Microwave Cavities
Cited by in corpus (25)
- Perfect Absorption in Complex Scattering Systems with or without Hidden Symmetries
- Experimental Examination of the Effect of Short Ray Trajectories in Two-port Wave-Chaotic Scattering Systems
- Universal and non-universal properties of wave chaotic scattering systems
- A first-principles model of time-dependent variations in transmission through a fluctuating scattering environment
- A statistical model for the excitation of cavities through apertures
- Wavefront Shaping with a Tunable Metasurface: Creating Coldspots and Coherent Perfect Absorption at Arbitrary Frequencies
- Wave Chaos in a Cavity of Regular Geometry with Tunable Boundaries
- Impedance and Scattering Variance Ratios of Complicated Wave Scattering Systems in the Low Loss Regime
- Sensing Small Changes in a Wave Chaotic Scattering System
- Focusing Waves at Arbitrary Locations in a Ray-Chaotic Enclosure Using Time-Reversed Synthetic Sonas
- Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled Enclosures
- Uncovering Universal Wave Fluctuations In a Scaled Ray-Chaotic Cavity With Remote Injection
- Wave scattering properties of multiple weakly-coupled complex systems
- Classification and prediction of wave chaotic systems with machine learning techniques
- Implementing Non-Universal Features with a Random Matrix Theory Approach: Application to Space-to-Configuration Multiplexing
- Uncorrelated Configurations and Field Uniformity in Reverberation Chambers Stirred by Tunable Metasurfaces
- Scattering Statistics in Nonlinear Wave Chaotic Systems
- Nonlinear Wave Chaos: Statistics of Second Harmonic Fields
- Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs
- Superuniversal Statistics of Complex Time-Delays in Non-Hermitian Scattering Systems
- Time Domain Generalization of the Random Coupling Model and Experimental Verification in a Complex Scattering System
- Superuniversal Statistics with Topological Origins for non-Hermitian Scattering Singularities
- Deep learning estimation of complex reverberant wave fields by a programmable metasurface
- Diffuse field cross-correlations: scattering theory and electromagnetic experiments
- Universal Frequency Correlations and Recurrence Statistics of Complex Impedance Matrices