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http://hdl.handle.net/1903/2920
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| Title: | statistics of impedance and scattering matrices in microwave chaotic cavities: the random coupling model |
| Authors: | Zheng, Xing |
| Advisors: | Ott, Edward |
| Department/Program: | Physics |
| Type: | Dissertation |
| Sponsors: | Digital Repository at the University of Maryland
University of Maryland (College Park, Md.) |
| Keywords: | Physics, General (0605)
Physics, Electricity and Magnetism (0607)
chaotic scattering, impedance matrices, microwave cavity |
| Issue Date: | 1-Aug-2005 |
| Abstract: | A model is proposed for the study of the statistical properties of the impedance (Z) and scattering (S)matrices of open electromagnetic cavities with several
transmission lines or waveguides connected to the cavity. The model is based on assumed properties of the eigenfunctions for the closed cavity. Analysis of the model successfully reproduces features of the random matrix model believed to be universal, while at the same time incorporating features which are specific to individual systems. Universal statistical properties of the cavity impedance Z
are obtained in terms of the radiation impedance. These universal properties are independent of system-specific details and shared by the members of the general class of systems whose corresponding ray trajectories are chaotic.
In the single channel case, I obtained the normalized impedance and scattering coefficients whose probability density functions (PDF) are predicted to be universal. In the multiple-channel case, I focused on corr... |
| URI: | http://hdl.handle.net/1903/2920 |
| Appears in Collections: | Physics Theses and Dissertations
UM Theses and Dissertations
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Size | Format | No. of Downloads |
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| umi-umd-2711.pdf | | 9194Kb | Adobe PDF | 317 | View/Open |
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