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

Presented by: 
Alexander Movchan University of Liverpool
Date: 
Wednesday 14th August 2019 - 11:30 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons