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arXiv · 0807.5049

Semiclassical Theory of Time-Reversal Focusing

Hernan L. Calvo·Rodolfo A. Jalabert·Horacio M. Pastawski
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Abstract

Time reversal mirrors have been successfully implemented for various kinds of waves propagating in complex media. In particular, acoustic waves in chaotic cavities exhibit a refocalization that is extremely robust against external perturbations or the partial use of the available information. We develop a semiclassical approach in order to quantitatively describe the refocusing signal resulting from an initially localized wave-packet. The time-dependent reconstructed signal grows linearly with the temporal window of injection, in agreement with the acoustic experiments, and reaches the same spatial extension of the original wave-packet. We explain the crucial role played by the chaotic dynamics for the reconstruction of the signal and its stability against external perturbations.

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Hernan L. Calvo, Rodolfo A. Jalabert, Horacio M. Pastawski. 2008-12-17. Semiclassical Theory of Time-Reversal Focusing. https://doi.org/10.1103/physrevlett.101.240403

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