(Poster) Semiclassical analysis of the time-reversal focusing in chaotic systems

HERNAN L. CALVO; RODOLFO A. JALABERT; HORACIO M. PASTAWSKI

Buenos Aires

Otro; 11th J.J. Giambiagi winter school: The Quantum Mechanics of the XXI Century: Manipulation of Coherent Atomic Matter; 2009

UBA - Fac. de Cs. Exactas y Naturales - Dpto. de Fisica

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 focalization 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 focusing 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.