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The scattering inside the computer box is studied. Some results are found through scattering matrix elements. The ensemble-averaged scattering matrix can be obtained by the measured radiation scattering. With the increase of cavity loss, scattering fluctuations are reduced, and insertion phase shift distribution is becoming more and more uniform. Based on the Dyson’s circular ensemble, the scattering behavior within computer box is found to be chaotic. According to RMT, normalized impedance matrix within the microwave chaotic cavity is universal in their statistical description, depending only upon the value of a single dimensionless cavity loss-parameter.
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Keywords:
- wave-chaotic cavity /
- Dyson’s circular ensemble /
- normalized impedance matrix /
- normalized scattering matrix
[1] [1]Mehta M L 1991 Random Matrices(2rd ed)(San Diego: Academic Press)
[2] [2]Gao S, Xu X Y, Zhou H, Zhang Y H, Lin S L 2009 Acta Phys Sin. 58 1473(in Chinese)[高嵩、徐学友、周慧、张延惠、林圣路 2009 物理学报 58 1473]
[3] [3]Zhang F Z, Wang J, Gu Y 1999 Acta Phys. Sin. 48 2169 (in Chinese)[张飞舟、王矫、顾雁 1999 物理学报 48 2169]
[4] [4]Xu X Y, Zhang Y H, Huang F Z, Lin S L, Du M L 2005 Acta Phys. Sin. 54 4538 (in Chinese)[徐学友、张延惠、黄发忠、林圣路、杜孟利 2005 物理学报 54 4538]
[5] [5]Zheng X, Antonsen T M, Ott E 2006 Electromagnetics 26 3
[6] [6]Hemmady S, Zheng X, Hart J, Antonsen T M, Ott E, Anlage S M 2006 Phys. Rev. E 74 036213
[7] [7]Hemmady S, Zheng X, Antonsen T M, Ott E, Anlage S M 2005 Phys. Rev. E 71 056215
[8] [8]Zheng X, Antonsen T M, Ott E 2006 Electromagnetics 26 37
[9] [9]Cassing W, Stingl M, Weiguny A 1982 Phy. Rev. C 26 22
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[1] [1]Mehta M L 1991 Random Matrices(2rd ed)(San Diego: Academic Press)
[2] [2]Gao S, Xu X Y, Zhou H, Zhang Y H, Lin S L 2009 Acta Phys Sin. 58 1473(in Chinese)[高嵩、徐学友、周慧、张延惠、林圣路 2009 物理学报 58 1473]
[3] [3]Zhang F Z, Wang J, Gu Y 1999 Acta Phys. Sin. 48 2169 (in Chinese)[张飞舟、王矫、顾雁 1999 物理学报 48 2169]
[4] [4]Xu X Y, Zhang Y H, Huang F Z, Lin S L, Du M L 2005 Acta Phys. Sin. 54 4538 (in Chinese)[徐学友、张延惠、黄发忠、林圣路、杜孟利 2005 物理学报 54 4538]
[5] [5]Zheng X, Antonsen T M, Ott E 2006 Electromagnetics 26 3
[6] [6]Hemmady S, Zheng X, Hart J, Antonsen T M, Ott E, Anlage S M 2006 Phys. Rev. E 74 036213
[7] [7]Hemmady S, Zheng X, Antonsen T M, Ott E, Anlage S M 2005 Phys. Rev. E 71 056215
[8] [8]Zheng X, Antonsen T M, Ott E 2006 Electromagnetics 26 37
[9] [9]Cassing W, Stingl M, Weiguny A 1982 Phy. Rev. C 26 22
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