info:eu-repo/semantics/article
Pair partitioning in time reversal acoustics
Fecha
2007-10Registro en:
Calvo, Hernan Laureano; Pastawski, Horacio Miguel; Pair partitioning in time reversal acoustics; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; 26; 10-2007; 74-80
2591-3522
CONICET Digital
CONICET
Autor
Calvo, Hernan Laureano
Pastawski, Horacio Miguel
Resumen
Time reversal of acoustic waves can be achieved efficiently by the persistent control of excitations in a finite region of the system. The procedure, called Time Reversal Mirror, is stable against the inhomogeneities of the medium and it has numerous applications in medical physics, oceanography and communications. As a first step in the study of this robustness, we apply the Perfect Inverse Filter procedure that accounts for the memory effects of the system. In the numerical evaluation of such procedures we developed the Pair Partitioning method for a system of coupled oscillators. The algorithm, inspired in the Trotter strategy for quantum dynamics, obtains the dynamic for a chain of coupled harmonic oscillators by the separation of the system in pairs and applying a stroboscopic sequency that alternates the evolution of each pair. We analyze here the formal basis of the method and discuss his extension for including energy dissipation inside the medium.