Sensing Small Changes in a Wave Chaotic Scattering System

Abstract

Classical analogs of the quantum mechanical concepts of the Loschmidt Echo and quantum fidelity are developed with the goal of detecting small perturbations in a closed wave chaotic region. Sensing techniques that employ a one-recording-channel time-reversal-mirror, which in turn relies on time reversal invariance and spatial reciprocity of the classical wave equation, are introduced. In analogy with quantum fidelity, we employ Scattering Fidelity techniques which work by comparing response signals of the scattering region, by means of cross correlation and mutual information of signals. The performance of the sensing techniques is compared for various perturbations induced experimentally in an acoustic resonant cavity. The acoustic signals are parametrically processed to mitigate the effect of dissipation and to vary the spatial diversity of the sensing schemes. In addition to static boundary condition perturbations at specified locations, perturbations to the medium of wave propagation are shown to be detectable, opening up various real world sensing applications in which a false negative cannot be tolerated.

14 pages, 11 figures, as published on J. Appl. Phys

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• Focusing Waves at Arbitrary Locations in a Ray-Chaotic Enclosure Using Time-Reversed Synthetic Sonas
• Quantifying Volume Changing Perturbations in a Wave Chaotic System
• Use of Transmission and Reflection Complex Time Delays to Reveal Scattering Matrix Poles and Zeros: Example of the Ring Graph
• Short-wavelength Reverberant Wave Systems for Physical Realization of Reservoir Computing
• Mitigating the effect of non-uniform loss on time reversal mirrors
• A semiclassical reversibility paradox in simple chaotic systems
• Time Domain Generalization of the Random Coupling Model and Experimental Verification in a Complex Scattering System
• Deep learning estimation of complex reverberant wave fields by a programmable metasurface
• Iterative Time Reversal with Tunable Convergence