Nonlinear time reversal of classical waves: Experiment and model

Frazier, Matthew; Taddese, Biniyam Tesfaye; Xiao, Bo; Antonsen, Thomas M.; Ott, Edward; Anlage, Steven M.

doi:10.1103/physreve.88.062910

Cited by 25 publications

(24 citation statements)

References 39 publications

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“…A typical method to create many realizations is to rotate a large metal panel inside the cavity (a "mode stirrer"), as used in Refs. [5,9,21,22]. For this purpose, we designed a magnetically coupled mode stirrer powered by a cryogenic stepper motor (Phytron VSS 52.200.2.5UHVC suitable for space applications), as shown in Fig.2.…”

Section: Methodsmentioning

confidence: 99%

Revealing underlying universal wave fluctuations in a scaled ray-chaotic cavity with remote injection

et al. 2018

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The Random Coupling Model (RCM) predicts the statistical properties of waves inside a ray-chaotic enclosure in the semiclassical regime by using Random Matrix Theory, combined with system-specific information. Experiments on single cavities are in general agreement with the predictions of the RCM. It is now desired to test the RCM on more complex structures, such as a cascade or network of coupled cavities, that represent realistic situations but that are difficult to test due to the large size of the structures of interest. This paper presents an experimental setup that replaces a cubic-meter-scale microwave cavity with a miniaturized cavity, scaled down by a factor of 20 in each dimension, operated at a frequency scaled up by a factor of 20 and having wall conductivity appropriately scaled up by a factor of 20. We demonstrate experimentally that the miniaturized cavity maintains the statistical wave properties of the larger cavity. This scaled setup opens the opportunity to study wave properties in large structures such as the floor of an office building, a ship, or an aircraft, in a controlled laboratory setting.

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Section: Methodsmentioning

confidence: 99%

Revealing underlying universal wave fluctuations in a scaled ray-chaotic cavity with remote injection

et al. 2018

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“…The total number of connected cavities is varied from 1 to 3. Independent mode stirrers are employed inside each cavity to create a large ensemble of statistically distinct realizations of the system [39][40][41][42]. Single-mode ports are mounted on the first and last cavity in the cascade, shown as T(R)X in Fig.…”

Section: Experimental Set-up Of a Wave Chaos Systemmentioning

confidence: 99%

Classification and Prediction of Wave Chaotic Systems with Machine Learning Techniques

Xiao

Hong

et al. 2019

Acta Phys. Pol. A

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The wave properties of complex scattering systems that are large compared to the wavelength, and show chaos in the classical limit, are extremely sensitive to system details. A solution to the wave equation for a specific configuration can change substantially under small perturbations. Due to this extreme sensitivity, it is difficult to discern basic information about a complex system simply from scattering data as a function of energy or frequency, at least by eye. In this work, we employ supervised machine learning algorithms to reveal and classify hidden information about the complex scattering system presented in the data. As an example we are able to distinguish the total number of connected cavities in a linear chain of weakly coupled lossy enclosures from measured reflection data. A predictive machine learning algorithm for the future states of a perturbed complex scattering system is also trained with a recurrent neural network. Given a finite training data series, the reflection/transmission properties can be forecast by the proposed algorithm. arXiv:1908.04716v1 [cond-mat.dis-nn]

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“…6,7,23,29 We use the star graph because it is a type of quantum graph that has generic properties of wave chaotic systems, 29 but it is relatively simple to understand and simulate. The star graph is a quasi-1D chaotic system.…”

Section: A Simulation Setupmentioning

confidence: 99%

“…1 More recently, TR mirrors have been realized using electromagnetic waves 2, 3 expanding their range of applicability. TR mirrors have applications in communications, [4][5][6][7] imaging, 8,9 source localization, 10 non-destructive evaluation, 11,12 selective beamforming, 13 and sensing. 3,14,15 The principles underlying TR mirrors are closely linked with the concepts of scattering fidelity, 16 and the Loschmidt echo.…”

Section: Introductionmentioning

confidence: 99%

The effects of non-uniform loss on time reversal mirrors

et al. 2014

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A time-reversal mirror in a solid circular waveguide using a single, time-reversal element ARLO 4, 31 (2003); 10.1121/1.1558377 The remote field effect: Models and interpretations AIP Conf. Proc. 497, 95 (1999); 10.1063/1.1301989Effect of suppressing of the photodeflection signal at opposed interaction of electromagnetic waves AIP Conf.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 time-reversal mirror performance is introduced and the adverse effect of dissipation on this performance measure is investigated. The technique of exponential amplification is employed to partially overcome the effect of non-uniform loss distributions, and its success is tested quantitatively using the new performance measure. A numerical model of a star graph is employed to test the applicability of this technique on realizations with various random spatial distributions of loss. A subset of the numerical results are also verified by experimental results from an electromagnetic time-reversal mirror. The exponential amplification technique is a simple way to improve the performance of emerging technologies based on time-reversed wave propagation such as directed communication and wireless power transfer. C 2014 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.

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Nonlinear time reversal of classical waves: Experiment and model

Cited by 25 publications

References 39 publications

Revealing underlying universal wave fluctuations in a scaled ray-chaotic cavity with remote injection

Revealing underlying universal wave fluctuations in a scaled ray-chaotic cavity with remote injection

Classification and Prediction of Wave Chaotic Systems with Machine Learning Techniques

The effects of non-uniform loss on time reversal mirrors

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