Time Reversal for Dispersive Waves in Random Media

Time reversal for waves in time-dependent random media

s : Regularization through stochastic forcing and its impact on nonlinear time-reversal A. Nachbin IMPA, Est. D. Castorina, 110, J. Botanico, CEP 22460-320, Rio, RJ, Brasil A large amount of mathematical theory has been developed for the time-reversal of linear waves in random media. This work concerns the extension to one-dimensional, weakly nonlinear water waves. Weakly dispersive water waves...

Time reversing solitary waves.

We present new results for the time reversal of nonlinear pulses traveling in a random medium, in particular for solitary waves. We consider long water waves propagating in the presence of a spatially random depth. Both hyperbolic and dispersive regimes are considered. We demonstrate that in the presence of properly scaled stochastic forcing the solution to the nonlinear (shallow water) conserv...

Time Reversal for Classi al Waves in Random Media

Time-reversal generation of rogue waves.

The formation of extreme localizations in nonlinear dispersive media can be explained and described within the framework of nonlinear evolution equations, such as the nonlinear Schrödinger equation (NLS). Within the class of exact NLS breather solutions on a finite background, which describe the modulational instability of monochromatic wave trains, the hierarchy of rational solutions localized...

Numerical Methods to Implement Time Reversal of Waves Propagating in Complex Random Media

Mehta, Kurang. Numerical Methods to Implement Time Reversal of Waves Propagating in Complex Random Media. (Under the direction of Dr. J P Fouque (MATH Department) and Dr. Gianluca Lazzi (ECE Department)). A time reversal mirror is a device capable of receiving a signal in time, keeping it in memory, and sending it back into the same medium in the reversed direction of time. The main effect is t...