Browsing by Author "J.-P. Fouque, Committee Chair"

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    Time Reversal of Electromagnetic Waves in Randomly Layered Media.
    (2007-03-14) Glotov, Petr; G. Lazzi, Committee Member; K. Ito, Committee Member; J.-P. Fouque, Committee Chair; M. Haider, Committee Member
    Time reversal is a general technique in wave propagation in inhomogeneous media when a signal is recorded at points of a device called time reversal mirror, gets time reversed and radiated back in the medium. The resulting field has a property of refocusing. Time reversal in acoustics has been extensively studied both experimentally and theoretically. In this thesis we consider the problem of time reversal of electromagnetic waves in inhomogeneous layered media. We use Markov process model for the medium parameters which allows us to exploit diffusion approximation theorem. We show that the field generated by the time reversal mirror focuses at a point of initial source inside of the medium. The size of the focusing spot is of the kind that it is smaller than the one that would be obtained if the medium were homogeneous meaning that the super resolution phenomenon is observed.