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Statistics of Impedance and Scattering Matrices of Chaotic Microwave Cavities with Multiple Ports

Xing Zheng, Thomas M. Antonsen, Edward Ott

cond-mat.mes-hallarXiv:cond-mat/0408317

Abstract

The statistical model proposed in an accompanying paper is generalized to treat multiport scattering problems. Attention is first focused on two-port lossless systems and the model is shown to be consistent with Random Matrix Theory. The predictions are then tested by direct numerical simulation for a specific two-port cavity. Formula are derived for the average transmission and reflection coefficients in terms of the port radiation impedance. The cases of cavity with multiple ports, and with a single port and distributed losses are compared.

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