Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber
arXiv:1209.1350 · doi:10.1109/TEMC.2012.2213257
Abstract
We derive a probability distribution, confidence intervals and statistics of the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation chamber, based on ensemble distributions of the idealized random cavity field with assumed perfect stir efficiency. It is shown that Q exhibits a Fisher-Snedecor F-distribution whose degrees of freedom are governed by the number of simultaneously excited cavity modes per stir state. The most probable value of Q is between a fraction 2/9 and 1 of its mean value, and between a fraction 4/9 and 1 of its asymptotic (composite Q) value. The arithmetic mean value is found to always exceed the values of all other theoretical metrics for centrality of Q. For a rectangular cavity, we retrieve the known asymptotic Q in the limit of highly overmoded regime.
accepted for publication in IEEE Trans. Electromagn. Compat., 2012
References in corpus (6)
- Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
- Wavefunction statistics in open chaotic billiards
- Sampling Distributions of Random Electromagnetic Fields in Mesoscopic or Dynamical Systems
- Probability Distributions of Random Electromagnetic Fields in the Presence of a Semi-Infinite Isotropic Medium
- Nonstationary random acoustic and electromagnetic fields as wave diffusion processes
- Angular Spectral Plane-Wave Expansion of Nonstationary Random Fields in Stochastic Mode-Stirred Reverberation Processes