The paper gives an overview of some mathematical models of wave propagation in structured media, with the emphasis on dispersion and enhanced transmission through structured interfaces. We begin with conventional definitions and classical models of dispersive waves, discuss lattice approximations and then show the results of the recent work on modelling of waves interacting with a structured stack acting as a polarizer of elastic waves. Special attention is given to the resonance modes which may enhance transmission across the structured stack. The analytical work is accompanied by numerical simulations.
Waves and Defect Modes in structured Media
BRUN, MICHELE;
2012-01-01
Abstract
The paper gives an overview of some mathematical models of wave propagation in structured media, with the emphasis on dispersion and enhanced transmission through structured interfaces. We begin with conventional definitions and classical models of dispersive waves, discuss lattice approximations and then show the results of the recent work on modelling of waves interacting with a structured stack acting as a polarizer of elastic waves. Special attention is given to the resonance modes which may enhance transmission across the structured stack. The analytical work is accompanied by numerical simulations.
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