Application of the Random Coupling Model to Electromagnetic Statistics in Complex Enclosures

Drikas, Zachary B.; Gil, Jesus Gil; Hong, Sun K.; Andreadis, T.D.; Wang, Wen‐Lun; Taddese, Biniyam Tesfaye; Anlage, Steven M.

doi:10.1109/temc.2014.2337262

Cited by 26 publications

(21 citation statements)

References 16 publications

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“…In [16], the RCM was successfully applied to describe the electromagnetic statistics in complex threedimensional enclosures. However, non-universal behavior similar to that observed here has also been seen in a 3D cavity case [20], where the enclosures have one wall with an electrically-large aperture In that case any ray inside the cavity that reaches the aperture will exit the system, leading to a source of loss that is not homogeneous.…”

Section: Resultsmentioning

confidence: 99%

“…The RCM has successfully analyzed the statistical properties of the impedance ( Z) and scattering ( S) matrices of open electromagnetic cavities where the waves are coupled through transmission lines or waveguide [13]. In [11,14], a 2D ray-chaotic quarter-bowtie cavity and in [16] a 3D complex "GigaBox" cavity have been studied and impedance statistics have been analyzed from experimental measurement. In this paper, the RCM is applied for the analysis of electromagnetic propagation in quasi-1D microwave networks.…”

Section: Random Coupling Model (Rcm)mentioning

confidence: 99%

See 1 more Smart Citation

Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features

Koch

Antonsen

et al. 2017

Acta Phys. Pol. A

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Quantum graphs provide a setting to test the hypothesis that all ray-chaotic systems show universal wave chaotic properties. Here, an experimental setup consisting of a microwave coaxial cable network is used to simulate quantum graphs. The networks which are large compared to the wavelength, are constructed from coaxial cables connected by T junctions. The distributions of impedance statistics are obtained from experiments on an ensemble of tetrahedral networks. The random coupling model (RCM) is applied in an attempt to uncover the universal statistical properties of the system. Deviations from RCM predictions have been observed in that the statistics of diagonal and off-diagonal impedance elements are different. It is argued that because of the small finite-size quantum graphs utilized here there will be non-universal results.

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Section: Resultsmentioning

confidence: 99%

Section: Random Coupling Model (Rcm)mentioning

confidence: 99%

Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features

Koch

Antonsen

et al. 2017

Acta Phys. Pol. A

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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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“…The idea of scaling down the geometric size is not new in modeling, but the challenge is to make other electromagnetic properties scale appropriately as well. In this paper, we demonstrate the process by scaling down in size a cubic meter box, which is well studied in [9,13], and we experimentally demonstrate that the appropriately miniaturized enclosure has electromagnetic properties that are statistically identical to the full-scale enclosure. A key point in our scaling implementation is that, along with the straightforward scaling of size and frequency, it is also crucial to appropriately scale the conductivity of metal structure.…”

Section: Introductionmentioning

confidence: 96%

“…The Random Coupling Model (RCM) is one such method to predict the statistical properties of the waves inside a ray-chaotic enclosure [1,2]. The RCM has been widely discussed and tested over the years, with good agreement between theory and experimental results on individual complex structures [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2018

Self Cite

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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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Application of the Random Coupling Model to Electromagnetic Statistics in Complex Enclosures

Cited by 26 publications

References 16 publications

Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features

Experimental Study of Quantum Graphs with Simple Microwave Networks: Non-Universal Features

Classification and Prediction of Wave Chaotic Systems with Machine Learning Techniques

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

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