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Author:

Lu, Xicheng (Lu, Xicheng.) | Wang, Jianguo (Wang, Jianguo.) | Han, Feng (Han, Feng.) | Liu, Yu (Liu, Yu.)

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Abstract:

The eigenfrequencies distribution functions were studied by the theory of electromagnetic reflection for three-dimensional microwave cavities. For the electrical-large cavity, its eigenvalue's average density function accords with the Wely formula. According to the theory of wave chaos, the normalized nearest-neighbor spacing distributions of the square of eigenvalue satisfy Poisson distribution and Wigner distribution, respectively, for regular and complex cavities. Furthermore, the statistical simulation method of Wigner distribution was established with random matrix of Gaussian orthogonal ensemble. The numerical results are consistent with theoretical analyses.

Keyword:

Complex cavity Eigen frequencies Eigenfrequency Eigen-value Electromagnetic reflection Gaussian orthogonal ensembles Microwave cavity Nearest-neighbor spacing distributions Numerical results Random Matrix Statistical simulation Wave chaos Wigner Distribution

Author Community:

  • [ 1 ] [Lu, Xicheng;Wang, Jianguo;Han, Feng;Liu, Yu]Northwest Institute of Nuclear Technology, Xi'an 710613, China
  • [ 2 ] [Wang, Jianguo]School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China

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Source :

Qiangjiguang Yu Lizishu/High Power Laser and Particle Beams

ISSN: 1001-4322

Year: 2011

Issue: 12

Volume: 23

Page: 3367-3371

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count: -1

Chinese Cited Count: -1

30 Days PV: 3

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