NONLINEAR WAVE CHAOS AND THE RANDOM COUPLING MODEL

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dc.contributor.advisorAnlage, Steven M.en_US
dc.contributor.authorZhou, Minen_US
dc.contributor.departmentElectrical Engineeringen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2019-06-19T05:41:58Z
dc.date.available2019-06-19T05:41:58Z
dc.date.issued2019en_US
dc.description.abstractConcepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Random Coupling Model (RCM) describes these properties by incorporating both universal features described by Random Matrix Theory and the system-specific features of particular system realizations. This Ph.D. thesis studies various approaches to extend the RCM to the nonlinear domain. Nonlinearity has been introduced to study the statistics of generated harmonics and amplitude dependent responses of complex electromagnetic structures. The sources of nonlinearity that have been studied include circuit elements such as diodes, nonlinear dielectrics, and superconducting materials. Nonlinear systems in different scenarios are studied and the RCM is applied and extended to explain the statistical results. This is an important step in the ongoing effort to create the science of nonlinear wave chaos.en_US
dc.identifierhttps://doi.org/10.13016/zsq2-ifev
dc.identifier.urihttp://hdl.handle.net/1903/21951
dc.language.isoenen_US
dc.subject.pqcontrolledElectrical engineeringen_US
dc.subject.pqcontrolledElectromagneticsen_US
dc.subject.pquncontrolledcomplex systemsen_US
dc.subject.pquncontrollednonlinearen_US
dc.subject.pquncontrolledrandom coupling modelen_US
dc.subject.pquncontrolledStatistical Electromagneticsen_US
dc.subject.pquncontrolledwave chaosen_US
dc.titleNONLINEAR WAVE CHAOS AND THE RANDOM COUPLING MODELen_US
dc.typeDissertationen_US

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