Reverberant Microwave Propagation in Coupled Complex Cavities

Tait, Gregory B.; Richardson, Robert E.; Slocum, M.B.; Hatfield, M.O.; Rodriguez, Manuel J.

doi:10.1109/temc.2010.2051442

Cited by 38 publications

(16 citation statements)

References 13 publications

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“…Examples include measurements of conductance of quantum dots systems with coupled electron billiards [12][13][14], resistance of disordered nanowires modeled by a cascade of quantum dots [15][16][17][18], and simulating resonance strength of coupled quantum mechanical systems with superconducting MW billiards [19], etc. Likewise, the EM wave properties of inter-connected electrically large enclosures, like the power flow and the impedance or scattering parameters, are also widely studied in engineering [20,21] in situations ranging from computer enclosures to rooms or buildings [22][23][24][25]. These settings are typically found to be ray-chaotic and highly over-moded, posing challenges to both numerical and experimental analysis means.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering properties of multiple weakly coupled complex systems

Xiao

Drikas

et al. 2020

Phys. Rev. E

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The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable coupling scenarios. The statistical properties of the model-generated quantities are tested against measured data of electrically large multi-cavity systems of various designs. The statistics of model-generated trans-impedance and induced voltages on a load impedance agree well with the experimental results. The RCM coupled chaotic enclosure model is general and can be applied to other physical systems including coupled quantum dots, disordered nanowires, and short-wavelength electromagnetic propagation through rooms in buildings, aircraft and ships. arXiv:1909.03827v1 [physics.class-ph]

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Section: Introductionmentioning

confidence: 99%

Wave scattering properties of multiple weakly coupled complex systems

Xiao

Drikas

et al. 2020

Phys. Rev. E

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“…Conductance oscillations and related distributions have been derived in closed form, and the role of the RMT ensemble was discussed. The coupling of reverberant environments through apertures and loading materials has also been addressed [12,13]. A model for frequency [12] and time [13] domain cumulative buildup of electromagnetic energy in coupled (reverberant) spaces was derived by using conservation of average energy and a model developed in the framework of acoustic theory.…”

Section: Introductionmentioning

confidence: 99%

“…The coupling of reverberant environments through apertures and loading materials has also been addressed [12,13]. A model for frequency [12] and time [13] domain cumulative buildup of electromagnetic energy in coupled (reverberant) spaces was derived by using conservation of average energy and a model developed in the framework of acoustic theory. Our model is distinct from this paper in that it allows for interference effects that are not captured based on consideration of energy conservation.…”

Section: Introductionmentioning

confidence: 99%

Impedance and power fluctuations in linear chains of coupled wave chaotic cavities

2012

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The flow of electromagnetic wave energy through a chain of coupled cavities is considered. The cavities are assumed to be of sufficiently irregular shape that their eigenmodes are described by random matrix theory. The cavities are coupled by electrically short single mode transmission lines. Approximate expressions for the power coupled into successive cavities are derived, and the predictions are compared with Monte Carlo simulations. The analytic formulas separate into a product of factors. Consequently, the distribution of power in the last cavity of a very long chain approaches lognormal. For lossless cavities, signatures of Anderson localization, similar to those of the conductances of quantum wires, are observed.

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“…From (25), we argue that (the real or imaginary part of) coupling impedance fluctuates, in the presence of high losses, as the renormalized product of Gaussian DFs, i.e., following a Meijer-G function law. Such an approximation is also supported by the fact that the coupling takes place forwardly along the chain because of losses (small backward signal) [11], thus δZ…”

Section: B Lossy Cavity: Weak Fluctuation Approximationmentioning

confidence: 93%

Wave chaotic analysis of weakly coupled reverberation chambers

Gradoni

Wang

Antonsen

et al. 2011

2011 IEEE International Symposium on Electromagnetic Compatibility

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In this paper, we analyze the field fluctuations in weakly coupled complex cavities by using a random matrix theory to model the chaotic scattering within each cavity. Universal (chaotic) and non-universal are separated. In particular, nonuniversal are found to be conveniently described by the radiation impedance concept. Inherently, the development of the random field regime is accounted for by taking each mode of the cavity as a random plane wave expansion. Sources and sinks inside the cavities are assumed to be electrically small. A model for the cascaded cavities scenario is derived through the electric network theory and random matrix theory for both lossy and lossless cases. The adopted physical framework is a linear chain of twoport cavities terminated by a one-port cavity. The field flowing into this last cavity is related to the current excitation on the first cavity through the coupling radiation impedance. Closedform expressions are derived for two interconnected cavities, mimicking the nested reverberation chamber scenario. Finally, the practical issue of measurements in a nested reverberation chamber is presented and discussed. Accordingly, based on physical arguments, the small fluctuations theory applies. Results are of interest in interference propagation through complex electromagnetic environment or planar circuits, EMC immunity tests, and reverberation chambers.

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Reverberant Microwave Propagation in Coupled Complex Cavities

Cited by 38 publications

References 13 publications

Wave scattering properties of multiple weakly coupled complex systems

Wave scattering properties of multiple weakly coupled complex systems

Impedance and power fluctuations in linear chains of coupled wave chaotic cavities

Wave chaotic analysis of weakly coupled reverberation chambers

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