Wave chaos techniques to analyze a modeled reverberation chamber

Orjubin, G.; Richalot, Elodie; Picon, Odile; Legrand, Olivier

doi:10.1016/j.crhy.2009.01.001

Cited by 8 publications

(6 citation statements)

References 22 publications

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“…5) does (about 30% above 3 dB). To correctly interpret these findings, one should first note that, according to numerical simulations of the EM responses in both RCs which are not presented here, the frequencies for which σ dB is larger than 3 dB, almost always correspond to EM response patterns which are clearly Fluctuations of the measured field amplitude maxima through histograms of σ dB defined by (7). Chaotic RC: red continuous histogram.…”

Section: Statistics Of the Response In A Chaotic Rc -Experimentamentioning

confidence: 59%

“…This generic statistical behavior of modes in a chaotic cavity will be coined ergodicity in the following for the sake of brevity. Numerous studies on EM RCs have considered several cavity shapes of intrinsic chaotic behavior [5]- [7]. By comparing the experimental EM responses in a chaotic RC and in a conventional mode-stirred RC, the ergodicity of modes in a chaotic RC will be demonstrated to play a key role in improving the statistical behavior of RCs in the neighborhood of the LUF.…”

Section: Introductionmentioning

confidence: 99%

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Universal intensity statistics in a chaotic reverberation chamber to refine the criterion of statistical field uniformity

Gros¹,

Kuhl²,

Legrand³

et al. 2015

2015 IEEE Metrology for Aerospace (MetroAeroSpace)

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International audienceThis article presents a study of the intensity statistics of the electromagnetic response in a chaotic reverberation chamber (RC) in the presence of losses. Through an experimental investigation, intensity statistics of the response in a conventional mode-stirred RC are compared with those in a chaotic RC in the neighborhood of the Lowest Useable Frequency. The present work illustrates how the universal statistical properties of the field in an actual chaotic RC can ensure the validity of the standard criterion proposed to evaluate the uniformity of the field distribution. In particular, through a theoretical approach based on the random matrix theory applied to open chaotic systems, we find that the modal overlap seems to be the only relevant parameter of the corresponding intensity distribution

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Section: Statistics Of the Response In A Chaotic Rc -Experimentamentioning

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Universal intensity statistics in a chaotic reverberation chamber to refine the criterion of statistical field uniformity

Gros¹,

Kuhl²,

Legrand³

et al. 2015

2015 IEEE Metrology for Aerospace (MetroAeroSpace)

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“…Recent investigations of RCs have concentrated on two goals: (a) improving the RCs' behavior for a frequency regime close to the LUF and (b) finding a suitable statistical model for the EM field in this regime [17,[21][22][23] with the incentive of proposing more accurate quantities [23] than those proposed by the IEC standard [9]. In the case of (a), the EMC community has mainly focused on the optimization of the stirring [18,[24][25][26][27] or on the new design of the geometry of RCs [28][29][30]. None of these approaches are used to propose quantitative hypotheses concerning the statistics of the EM field near the LUF.…”

Section: Introductionmentioning

confidence: 99%

Lossy chaotic electromagnetic reverberation chambers: Universal statistical behavior of the vectorial field

et al. 2016

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The effective Hamiltonian formalism is extended to vectorial electromagnetic waves in order to describe statistical properties of the field in reverberation chambers. The latter are commonly used in electromagnetic compatibility tests. As a first step, the distribution of wave intensities in chaotic systems with varying opening in the weak coupling limit for scalar quantum waves is derived by means of random matrix theory. In this limit the only parameters are the modal overlap and the number of open channels. Using the extended effective Hamiltonian, we describe the intensity statistics of the vectorial electromagnetic eigenmodes of lossy reverberation chambers. Finally, the typical quantity of interest in such chambers, namely, the distribution of the electromagnetic response, is discussed. By determining the distribution of the phase rigidity, describing the coupling to the environment, using random matrix numerical data, we find good agreement between the theoretical prediction and numerical calculations of the response.

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“…Predictions of Random Matrix Theory (RMT) have been extensively verified, both numerically and experimentally in two-dimensional (2D) or pseudo-2D electromagnetic cavities [16,17,15,18,19] as well as in the 3D case [20,21,22,23,24]. Previous works have already called for the similitude between the expected statistical properties a well-stirred RC and the intrinsic behaviour of individual ergodic modes of a chaotic cavity, to propose strategies for improved operation of an EM RC [7,25,26]. We believe that, along with these studies, the results presented here have practical implications for an effective reduction of the lowest usable frequency (LUF) in chaotic RCs.…”

Section: Introductionmentioning

confidence: 99%

Universal behaviour of a wave chaos based electromagnetic reverberation chamber

et al. 2014

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In this article, we present a numerical investigation of three-dimensional electromagnetic Sinai-like cavities. We computed around 600 eigenmodes for two different geometries: a parallelepipedic cavity with one halfsphere on one wall and a parallelepipedic cavity with one half-sphere and two spherical caps on three adjacent walls. We show that the statistical requirements of a well operating reverberation chamber are better satisfied in the more complex geometry without a mechanical mode-stirrer/tuner. This is to the fact that our proposed cavities exhibit spatial and spectral statistical behaviours very close to those predicted by random matrix theory. More specifically, we show that in the range of frequency corresponding to the first few hundred modes, the suppression of non-generic modes (regarding their spatial statistics) can be achieved by reducing drastically the amount of parallel walls. Finally, we compare the influence of losses on the statistical complex response of the field inside a parallelepipedic and a chaotic cavity. We demonstrate that, in a chaotic cavity without any stirring process, the low frequency limit of a well operating reverberation chamber can be significantly reduced under the usual values obtained in mode-stirred reverberation chambers.

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Wave chaos techniques to analyze a modeled reverberation chamber

Cited by 8 publications

References 22 publications

Universal intensity statistics in a chaotic reverberation chamber to refine the criterion of statistical field uniformity

Universal intensity statistics in a chaotic reverberation chamber to refine the criterion of statistical field uniformity

Lossy chaotic electromagnetic reverberation chambers: Universal statistical behavior of the vectorial field

Universal behaviour of a wave chaos based electromagnetic reverberation chamber

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