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Transmission and reflection at an interface between metamaterial and ordinary material

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WHTW01 - Factorisation of matrix functions: New techniques and applications

A contribution to the subject in the title is made, in the case that the metamaterial has random microstructure. A variational approach permits the development of a system of integral equations which can be replaced by a Wiener-Hopf system.The equations retain information on the metamaterial up to two-point probabilities. The formulation will be developed in detail for a configuration of particular simplicity—acoustic materials, all with the same modulus but different densities. A special case, for which the problem reduces to a very simple scalar Wiener-Hopf problem, has been solved, giving explicit formulae for transmission and reflection coefficients. It should be possible to develop the analysis further and obtain more general solutions… It is likely that the audience will be able to provide useful input.

This talk is part of the Isaac Newton Institute Seminar Series series.

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