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Summary: Sensor based on extending the concept of fidelity to classical waves
Biniyam Tesfaye Taddese,1
James Hart,2
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 4 December 2008; accepted 30 August 2009; published online 18 September 2009
We propose and demonstrate a remote sensor scheme by applying the quantum mechanical concept
of fidelity loss to classical waves. The sensor makes explicit use of time-reversal invariance and
spatial reciprocity in a wave chaotic system to sensitively and remotely measure the presence of
small perturbations. The loss of fidelity is measured through a classical wave analog of the
Loschmidt echo by employing a single-channel time-reversal mirror to rebroadcast a probe signal
into the perturbed system. We also introduce the use of exponential amplification of the probe signal
to partially overcome the effects of propagation losses and to vary the sensitivity. © 2009 American
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