Homogenisation and a Wiener-Hopf formulation for a scattering problem around a semi-infinite elastic structured duct

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• Alexander Movchan (University of Liverpool)
• Wednesday 14 August 2019, 11:30-12:00
• Seminar Room 1, Newton Institute.

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WHTW01 - Factorisation of matrix functions: New techniques and applications

Authors: I.S. Jones, N.V. Movchan, A.B. Movchan

Abstract: The lecture will cover analysis of elastic waves in a flexural plate, which contains a semi-infinite structured duct.
The problem is reduced to a functional equation of the Wiener-Hopf type. The Kernel function reflects on the quasi-periodic
Green's function for an infinite periodic structure. Analysis of the Kernel function enables us to identify localised waveguide modes.
Homogenisation approximation has been derived to explain the modulation of the wave trapped within the structured duct.
Analytical findings are accompanied by numerical examples and simulations.

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

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