Impedance and Scattering Variance Ratios of Complicated Wave Scattering Systems in the Low Loss Regime

• Authors: J. Yeh , Z. Drikas , J. Gil Gil , S. Hong , B. Taddese , E. Ott , T. Antonsen , T. Andreadis , S. Anlage
• Languages of publication: EN

Abstracts

EN

Random matrix theory successfully predicts universal statistical properties of complicated wave scattering systems in the semiclassical limit, while the random coupling model offers a complete statistical model with a simple additive formula in terms of impedance to combine the predictions of random matrix theory and nonuniversal system-specific features. The statistics of measured wave properties generally have nonuniversal features. However, ratios of the variances of elements of the impedance matrix are predicted to be independent of such nonuniversal features and thus should be universal functions of the overall system loss. In contrast with impedance variance ratios, scattering variance ratios depend on nonuniversal features unless the system is in the high loss regime. In this paper, we present numerical tests of the predicted universal impedance variance ratios and show that an insufficient sample size can lead to apparent deviation from the theory, particularly in the low loss regime. Experimental tests are carried out in three two-port microwave cavities with varied loss parameters, including a novel experimental system with a superconducting microwave billiard, to test the variance-ratio predictions in the low loss time-reversal-invariant regime. It is found that the experimental results agree with the theoretical predictions to the extent permitted by the finite sample size.

Keywords

EN

05.45.Mt; 24.60.-k; 42.25.Dd; 78.20.Bh

Discipline

• 42.25.Dd: Wave propagation in random media
• 78.20.Bh: Theory, models, and numerical simulation
• 24.60.-k: Statistical theory and fluctuations
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 124
• Issue: 6
• Pages: 1045-1052

Dates

published

2013-12

Contributors

author

J. Yeh

• University of Maryland, College Park, MD 20742, USA

author

Z. Drikas

• U.S. Naval Research Laboratory, Washington, DC 20375, USA

author

J. Gil Gil

• U.S. Naval Research Laboratory, Washington, DC 20375, USA

author

S. Hong

• U.S. Naval Research Laboratory, Washington, DC 20375, USA

author

B. Taddese

• University of Maryland, College Park, MD 20742, USA

author

E. Ott

• University of Maryland, College Park, MD 20742, USA

author

T. Antonsen

• University of Maryland, College Park, MD 20742, USA

author

T. Andreadis

• U.S. Naval Research Laboratory, Washington, DC 20375, USA

author

S. Anlage

• University of Maryland, College Park, MD 20742, USA

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Identifiers

DOI

10.12693/APhysPolA.124.1045