SIGNAL LEVEL STATISTICS IN A NETWORK OF CABLES

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dc.contributor.advisorAntonsen, Thomas M.en_US
dc.contributor.authorGhutishvili, Tornikeen_US
dc.contributor.departmentPhysicsen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2023-06-23T05:37:13Z
dc.date.available2023-06-23T05:37:13Z
dc.date.issued2022en_US
dc.description.abstractWe present the theoretical framework required to describe the statistics of microwave networks that serve to model quantum graphs. The networks are characterized by impedance and admittance matrices relating the voltages and currents at the network’s ports. As we show, these matrices can be calculated in a number of ways. Normal modes of the network are characterized by a discrete set of wavenumbers corresponding to the propagation constants on the network’s bonds for which the determinant of the admittance matrix vanishes. The distribution of the spacings between adjacent eigenmode wavenumbers is found to depend on the nature of the way bonds are connected at nodes. The critical quantity is the reflection coefficient presented at a node to a wave on a bond. As the reflection coefficient increases, the spacing distribution changes from one characteristic of the spacing of eigenvalues of a GOE matrix to a Poisson distribution. The effect of loss is studied, and the scaling of the variance of the impedance values on network size, degree distribution, and other parameters is characterized. We attempted to find universal scaling relations for the distribution of impedance values for networks of different sizes. Finally, we compare the distribution of impedance values predicted by the model with those measured in a network of cables.en_US
dc.identifierhttps://doi.org/10.13016/dspace/hetu-hkwl
dc.identifier.urihttp://hdl.handle.net/1903/29915
dc.language.isoenen_US
dc.subject.pqcontrolledPhysicsen_US
dc.subject.pquncontrolledMicrowave Network(s)en_US
dc.subject.pquncontrolledQuantum Chaosen_US
dc.subject.pquncontrolledQuantum Graph(s)en_US
dc.subject.pquncontrolledWave Chaosen_US
dc.titleSIGNAL LEVEL STATISTICS IN A NETWORK OF CABLESen_US
dc.typeDissertationen_US

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