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Summary: Sensing small changes in a wave chaotic scattering system
Biniyam Tesfaye Taddese,1
Thomas M. Antonsen,1,2
Edward Ott,1,2
and
Steven M. Anlage1,2,a
1
Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland
20742-3285, USA
2
Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
Received 16 July 2010; accepted 25 October 2010; published online 10 December 2010
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
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