Nonlinear time reversal in a wave chaotic system.

  title={Nonlinear time reversal in a wave chaotic system.},
  author={Matthew Frazier and Biniyam Tesfaye Taddese and Thomas M. Antonsen and Steven Mark Anlage},
  journal={Physical review letters},
  volume={110 6},
Exploiting the time-reversal invariance and reciprocal properties of the lossless wave equation enables elegantly simple solutions to complex wave-scattering problems and is embodied in the time-reversal mirror. Here we demonstrate the implementation of an electromagnetic time-reversal mirror in a wave chaotic system containing a discrete nonlinearity. We demonstrate that the time-reversed nonlinear excitations reconstruct exclusively upon the source of the nonlinearity. As an example of its… 

Figures from this paper

Nonlinear time reversal of classical waves: experiment and model.

It is shown that such nonlinear objects can be purely passive (as opposed to the active nonlinearities used in previous work), and a higher data rate exclusive communication system based on nonlinear time reversal is developed.

Effect of chaos in a one-channel time-reversal acoustic mirror.

St measures of the spatial and temporal contrasts of the reconstructed signal are developed in order to gain insight on these phenomena and to distinguish between cases by studying the reversion of sound waves in two-dimensional reflecting cavities numerically.

Time reversed electromagnetic wave propagation as a novel method of wireless power transfer

We investigate the application of time reversed electromagnetic wave propagation to transmit energy to a moving target in a reverberant environment. “Time reversal” is a signal focusing method that

Selective collapse of nonlinear time reversed electromagnetic waves

We envision a WPT process based on time-reversed propagation of electromagnetic (EM) waves in a complex scattering environment. This process has been well documented for targeting of either a single

Nonlinear wave chaos: statistics of second harmonic fields.

An RCM-based model of this system as two linear chaotic cavities coupled by means of a nonlinear transfer function is developed and the harmonic field strengths are predicted to be the product of two statistical quantities and the nonlinearity characteristics.

The effects of non-uniform loss on time reversal mirrors

Time reversal mirrors work perfectly only for lossless wave propagation; dissipation destroys time-reversal invariance and limits the performance of time-reversal mirrors. Here, a new measure of

Scattering statistics in nonlinear wave chaotic systems.

Researchers systematically studied how the key components in the RCM are affected by this nonlinear port, including the radiation impedance, short ray orbit corrections, and statistical properties, and developed a quantitative understanding of the statistical scattering properties of a semi-classical wave chaotic system with a nonlinear coupling channel.

Nonlinear Wave Chaos and the Random Coupling Model

Title of dissertation: NONLINEAR WAVE CHAOS AND THE RANDOM COUPLING MODEL Min Zhou Dissertation directed by: Professor Steven M. Anlage Department of Electrical and Computer Engineering Concepts from


Title of dissertation: WAVE CHAOTIC EXPERIMENTS AND MODELS FOR COMPLICATED WAVE SCATTERING SYSTEMS Jen-Hao Yeh, Doctor of Philosophy, 2013 Dissertation directed by: Professor Steven Anlage Electrical

A Stochastic Green’s Function for Solution of Wave Propagation in Wave-Chaotic Environments

We present a statistical, mathematical, and computational model for prediction and analysis of wave propagation through complex, wave-chaotic environments. These are generally enclosed environments




Classical analogs of the quantum mechanical concepts of the Loschmidt Echo and quantum fidelity are developed with the goal of detecting small perturbations in a closed wave chaotic region. Sensing

Breaking of time reversal invariance in nonlinear acoustics.

One-dimensional (1D) propagation is restricted in this study to one-dimensional propagation, for which an experimental ersatz of a time-reversal mirror can be used, and in this 1D case, the time- reversal operation applied on a plane wave can be mimicked for an antisymmetric wave form by a reflection of the plane wave onto a pressure-release interface.

Sensor based on extending the concept of fidelity to classical waves

We propose and demonstrate a remote sensor scheme by applying the quantum mechanical concept of fidelity loss to classical waves. The sensor makes explicit use of time-reversal invariance and spatial

Chaotic Time-Reversed Acoustics: Sensitivity οf the Loschmidt Echo to Perturbations

We experimentally demonstrate a new acoustic sensor based on the concept of quantum mechanical scattering fidelity and the Loschmidt echo applied to classical acoustic waves in air. The sensor

Interaction dynamics of elastic waves with a complex nonlinear scatterer through the use of a time reversal mirror.

This Letter reports on work performed to locate and interrogate a nonlinear scatterer in a linearly elastic medium through the use of a time reversal mirror in combination with nonlinear dynamics.

Time reversal of electromagnetic waves.

The first experimental demonstration of time-reversal focusing with electromagnetic waves in a high-Q cavity is reported, with the wave found to converge to its initial source and is compressed in time.

Subwavelength position sensing using nonlinear feedback and wave chaos.

A position-sensing technique that relies on the inherent sensitivity of chaos, where a subwavelength object is illuminated with a complex structured radio-frequency field generated using wave chaos and nonlinear feedback.

Probing the interior of a solid volume with time reversal and nonlinear elastic wave spectroscopy.

A nonlinear scatterers is simulated in the body of a sample and a technique to locate and define the elastic nature of the scatterer is demonstrated.

Time reversed acoustics

The objective of this paper is to show that time-reversal invariance can be exploited in acoustics to accurately control wave propagation through complex media and create a variety of useful

Imaging nonlinear scatterers applying the time reversal mirror

Nonlinear elastic wave spectroscopy (NEWS) has been shown to exhibit a high degree of sensitivity to both distributed and isolated nonlinear scatterers in solids. In the case of an isolated nonlinear