New Results in Chaotic Time-Reversed Electromagnetics: High Frequency One-Recording-Channel Time-Reversal Mirror

Anlage, Steven M.; Rodgers, J.; Hemmady, Sameer; Hart, James A.; Antonsen, Thomas M.; Ott, Edward

doi:10.12693/aphyspola.112.569

Cited by 16 publications

(28 citation statements)

References 13 publications

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“…Because problem (1) is proposed for the first time, we give the following examples combined with the examples in literatures [1][2][3][4][5][6][7]38]. In [7], the authors consider the complex shell inside the complicated enclosures of the electronic component and the high frequency radiation.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…So the field satisfies the homogeneous boundary condition on the boundary. There are many methods for solving computational electromagnetics, such as finite difference method and finite element method; see literatures [1][2][3][4][5][6][7] for details. In recent years, various methods in computational electromagnetics have been continuously improved.…”

Section: Introductionmentioning

confidence: 99%

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A Kind of Stochastic Eigenvalue Complementarity Problems

Wang

2018

Mathematical Problems in Engineering

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With the development of computer science, computational electromagnetics have also been widely used. Electromagnetic phenomena are closely related to eigenvalue problems. On the other hand, in order to solve the uncertainty of input data, the stochastic eigenvalue complementarity problem, which is a general formulation for the eigenvalue complementarity problem, has aroused interest in research. So, in this paper, we propose a new kind of stochastic eigenvalue complementarity problem. We reformulate the given stochastic eigenvalue complementarity problem as a system of nonsmooth equations with nonnegative constraints. Then, a projected smoothing Newton method is presented to solve it. The global and local convergence properties of the given method for solving the proposed stochastic eigenvalue complementarity problem are also given. Finally, the related numerical results show that the proposed method is efficient.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Kind of Stochastic Eigenvalue Complementarity Problems

Wang

2018

Mathematical Problems in Engineering

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“…Much work has been done to study the underlying theory and possible applications in target identification, detection and imaging [13][14][15][16][17][18][19][20]. A TRM can work both in open systems with a strongly scattering medium placed between the target and transceiver ports [21,22], or in closed reflecting walled systems ('billiards') supporting ballistic propagation of waves in which the wavelength is much smaller than the billiard size [23][24][25][26]. In fact, a relatively simple single-channel TRM can be efficiently implemented in ray-chaotic billiard systems [23], and the experiments discussed here are performed in such billiards.…”

Section: Introductionmentioning

confidence: 99%

Focusing waves at arbitrary locations in a ray-chaotic enclosure using time-reversed synthetic sonas

et al. 2016

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Time reversal methods are widely used to achieve wave focusing in acoustics and electromagnetics. Past time reversal experiments typically require that a transmitter be initially present at the target focusing point, which limits the application of this technique. In this paper, we propose a method to focus waves at an arbitary location inside a complex enclosure using a numerically calculated wave excitation signal. We use a semi-classical ray algorithm to calculate the signal that would be received at a transceiver port resulting from the injection of a short pulse at the desired target location. The time-reversed version of this signal is then injected into the transceiver port and an approximate reconstruction of the short pulse is created at the target. The quaility of the pulse reconstruction is quantified in three different ways, and the values of these metrics are shown to be predicted by the statistics of the scattering-parameter |S21| 2 between the transceiver and target points in the enclosure over the bandwidth of the pulse. We experimentally demonstrate the method using a flat microwave billiard and quantify the reconstruction quality as a function of enclosure loss, port coupling and other considerations.

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“…Considerable progress to measure the LE with classical waves has been made by the development of "time--reversal mirrors" for classical waves in acoustics [12,13] and electromagnetics [14][15][16]. Such mirrors collect and record a propagating wave as a function of time, and at some later time propagate it in the opposite direction in a time-reversed fashion.…”

Section: Introductionmentioning

confidence: 99%

“…However, this problem is mitigated considerably in the special case of a billiard system with classically chaotic ray dynamics. Under these conditions a single-channel time-reversal mirror can very effectively approximate the conditions required to implement the "Loschmidt echo" definition of fidelity [17,16]. Further simplifications can be gained by making use of spatial reciprocity of the wave equation to simplify the implementation of a "Loschmidt echo" measure of fidelity.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2009

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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 employs a one-recording--channel time-reversal mirror that exploits spatial reciprocity to sensitively measure the classical analog of the scattering fidelity of an enclosed region. The experiments are carried out in a stairwell using a simple speaker and microphone. The input is a 7.0 kHz signal that is amplitude modulated with a 1 ms long pulse. We examine the sensitivity of the time-reversed reconstructed pulse to phase noise, long term drift, and to typical perturbations caused by the rotation of an object in the scattering environment.

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New Results in Chaotic Time-Reversed Electromagnetics: High Frequency One-Recording-Channel Time-Reversal Mirror

Cited by 16 publications

References 13 publications

A Kind of Stochastic Eigenvalue Complementarity Problems

A Kind of Stochastic Eigenvalue Complementarity Problems

Focusing waves at arbitrary locations in a ray-chaotic enclosure using time-reversed synthetic sonas

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

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