Eddy viscosity for time reversing waves in a dissipative environment.

作者: Josselin Garnier , André Nachbin

DOI: 10.1103/PHYSREVLETT.93.154501

关键词:

摘要: We present new results for the time reversal of weakly nonlinear pulses traveling in a random dissipative environment. Also we describe theory calculating eddy viscosity waves propagating over surface. The turbulent is calculated from first principles, namely, without imposing any stress-strain hypothesis. A viscous shallow water model considered and its effective characterized. also show that can still be reversed under weak dissipation. Incoherently scattered signals are recompressed, both transmission as well reflection. Under nonlinear, regime, dissipation only affects refocused pulse profile regarding amplitude, but shape not corrupted. Numerical experiments presented.

参考文章(16)
Stephen B. Pope, Turbulent Flows Cambridge University Press. ,(2000) , 10.1017/CBO9780511840531
Robert A. Dalrymple, Robert George Dean, Water wave mechanics for engineers and scientists ,(1983)
Stanley J. Farlow, Stephen F. Becker, Partial differential equations for scientists and engineers American Journal of Physics. ,vol. 53, pp. 702- 702 ,(1985) , 10.1119/1.14292
J.-F. Aubry, M. Tanter, M. Pernot, J.-L. Thomas, M. Fink, Experimental demonstration of noninvasive transskull adaptive focusing based on prior computed tomography scans Journal of the Acoustical Society of America. ,vol. 113, pp. 84- 93 ,(2003) , 10.1121/1.1529663
André Nachbin, Knut Sølna, Apparent diffusion due to topographic microstructure in shallow waters Physics of Fluids. ,vol. 15, pp. 66- 77 ,(2003) , 10.1063/1.1524189
Carlos Pires, Pedro MA Miranda, None, Tsunami waveform inversion by adjoint methods Journal of Geophysical Research: Oceans. ,vol. 106, pp. 19773- 19796 ,(2001) , 10.1029/2000JC000334
Arnaud Derode, Arnaud Tourin, Julien de Rosny, Mickaël Tanter, Sylvain Yon, Mathias Fink, Taking advantage of multiple scattering to communicate with time-reversal antennas. Physical Review Letters. ,vol. 90, pp. 014301- 014301 ,(2003) , 10.1103/PHYSREVLETT.90.014301
Vincenzo Casulli, Ralph T. Cheng, SEMI-IMPLICIT FINITE DIFFERENCE METHODS FOR THREE-DIMENSIONAL SHALLOW WATER FLOW International Journal for Numerical Methods in Fluids. ,vol. 15, pp. 629- 648 ,(1992) , 10.1002/FLD.1650150602
Peter Blomgren, George Papanicolaou, Hongkai Zhao, Super-resolution in time-reversal acoustics Journal of the Acoustical Society of America. ,vol. 111, pp. 230- 248 ,(2002) , 10.1121/1.1421342