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SUMMARY:Acoustic scattering by perforated plates and diffraction gratings 
 with asymptotic homogenisation - Shiza Naqvi (University of Cambridge)
DTSTART:20221123T110000Z
DTEND:20221123T120000Z
UID:TALK192917@talks.cam.ac.uk
CONTACT:Shiza Naqvi
DESCRIPTION:A popular method to study the acoustical behaviour of perforat
 ed plates is by examining its effective reflection and transmission amplit
 udes on an incident wave\, by constructing an effective (homogenised) boun
 dary (or interface) condition. \n\nHowever\, since these homogenisation pr
 oblems are numerical (or at least semi-analytic) in nature\, there is a qu
 estion of the accuracy of the solution compared with the actual nature of 
 the perforated plate. Some effects appear to be smoothed over or absent en
 tirely\, such as the existence of ''band gaps'' and other frequency ranges
  where near-total transmission occurs. This talk aims to determine a class
 ification of diffraction grating problems\; those which are amenable to ho
 mogenisation methods and those which are not\, and why. The effects of a n
 on-zero mean flow are also discussed.
LOCATION:MR14
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