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SUMMARY:Diffraction of acoustic waves by a wedge of point scatterers - Mat
 thew Nethercote (Manchester)
DTSTART:20211115T153000Z
DTEND:20211115T163000Z
UID:TALK164080@talks.cam.ac.uk
CONTACT:Alistair Hales
DESCRIPTION:This talk considers the problem of diffraction by a wedge cons
 isting of two semi-infinite periodic arrays of point scatterers. The solut
 ion is obtained in terms of two coupled systems\, each of which is solved 
 using the discrete Wiener-Hopf technique. An effective and accurate iterat
 ive numerical procedure is developed to solve the diffraction problem\, wh
 ich allows us to compute the interaction of thousands of scatterers formin
 g the wedge. A crucial aspect of this numerical procedure is the effective
  truncation of slowly convergent single and double infinite series\, which
  requires careful asymptotic analysis. A convergence criteria is formulate
 d and shown to be satisfied for a large class of physically interesting ca
 ses. A comparison to direct numerical simulations is made\, highlighting t
 he accuracy of the method.
LOCATION:CMS\, MR14
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