A Statistical Model for the Wave Transport Through Chaotic Cavities
Dr. Gabriele Gradoni
University of Maryland, College Park
Thursday, February 28, 2013|
3:00pm - 4:00pm
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About the Event
A statistical model, the Random Coupling Model (RCM), has been developed to describe the coupling of complex electromagnetic cavities with an external radiation in terms of impedance/admittance matrix. In this seminar, a derivation of the RCM for two-dimensional cavities (billiards) with ports will be presented and discussed in detail. An account of the extension of the RCM to three-dimensional cavities with apertures will follow along. In the scenario considered by the RCM, the cavities are assumed to be of sufficiently irregular shape that their eigenmodes are described by random matrix theory. As an application of the RCM, the flow of electromagnetic wave energy through a chain of coupled cavities will be described [Phys. Rev. E, 86, 046204 (2012)]. Approximate expressions for the power coupled into successive cavities are derived, and the predictions are compared with Monte Carlo simulations. The analytic formulas separate into a product of factors. Consequently, the distribution of power in the last cavity of a very long chain approaches lognormal. For lossless cavities, signatures of Anderson localization, similar to those of the conductances of quantum wires, are observed.
Gabriele Gradoni was born in Ancona, Italy, in 1982. He received the M.Sc. degree in communication engineering in 2006 and the Ph.D. degree in electromagnetics in 2009, both from the Universita’ Politecnica delle Marche, Ancona, Italy. From May to October 2008, he has been a visiting researcher at the Time, Quantum and Electromagnetics Team of the National Physical Laboratory, Teddington, Middlesex, UK. Since June 2010, he has been an Associate Researcher at the Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, USA. His current research activity is in electromagnetic theory and statistical physics of complex systems, with particular emphasis on irregular cavities and mode-stirred reverberation chambers, as well as in quantum chaos, time-reversal, propagation through random and stratified media, and condensed matter theory for nanoscale systems. Dr. Gradoni is a member of the IEEE, the Americal Physical Society, and the Italian Electromagnetics Society. He has been a recipient of the URSI Commission B Young Scientist Award, 2010.
Contact: Karla Johnson
Open to: Public