Superresolution and duality for time-reversal of waves in random media

Superresolution and Duality for Time-Reversal of Waves in Self-Similar Media

We analyze the time reversal of waves in a turbulent medium using the parabolic Markovian model. We prove that the time reversal resolution can be a nonlinear function of the wavelength and independent of the aperture. We establish a duality relation between the turbulence-induced wave spread and the time-reversal resolution which can be viewed as an uncertainty inequality for random media. The...

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...

An Improved Time-Reversal-Based Target Localization for Through-Wall Microwave Imaging

Recently, time reversal (TR) method, due to its high functionality in heterogeneous media has been widely employed in microwave imaging (MI) applications. One of the applications turning into a great interest is through-wall microwave imaging (TWMI). In this paper, TR method is applied to detect and localize a target obscured by a brick wall using a numerically generated data. Regarding this, i...

Time Reversal for Classi al Waves in Random Media

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...