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Journal Articles SIAM Journal on Applied Mathematics Year : 2004

Selective Acoustic Focusing Using Time-Harmonic Reversal Mirrors


A mathematical study of the focusing properties of acoustic fields obtained by a time-reversal process is presented. The case of time-harmonic waves propagating in a nondissipative medium containing sound-soft obstacles is considered. In this context, the so-called D.O.R.T. method (decomposition of the time-reversal operator in French) was recently proposed to achieve selective focusing by computing the eigenelements of the time-reversal operator. The present paper describes a justification of this technique in the framework of the far field model, i.e., for an ideal time-reversal mirror able to reverse the far field of a scattered wave. Both cases of closed and open mirrors, that is, surrounding completely or partially the scatterers, are dealt with. Selective focusing properties are established by an asymptotic analysis for small and distant obstacles.
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hal-00794524 , version 1 (26-02-2013)



Christophe Hazard, Karim Ramdani. Selective Acoustic Focusing Using Time-Harmonic Reversal Mirrors. SIAM Journal on Applied Mathematics, 2004, 64 (3), pp.1057-1076. ⟨10.1137/S0036139903428732⟩. ⟨hal-00794524⟩
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