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SUMMARY:Transmission and reflection at an interface between metamaterial a
 nd ordinary material - John Raymond Willis (University of Cambridge)
DTSTART:20190814T090000Z
DTEND:20190814T093000Z
UID:TALK128527@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:A contribution to the subject in the title is made\, in the ca
 se that the metamaterial has random microstructure. A variational approach
  permits the development of a system of integral equations which can be re
 placed by a Wiener-Hopf system.The equations retain information on the met
 amaterial up to two-point probabilities. The formulation will be developed
  in detail for a configuration of particular simplicity -- acoustic materi
 als\, 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 reflecti
 on coefficients. It should be possible to develop the analysis further and
  obtain more general solutions... It is likely that the audience will be a
 ble to provide useful input.
LOCATION:Seminar Room 1\, Newton Institute
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