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SUMMARY:Acoustic wave diffraction by a doubly periodic quarter square latt
 ice - Matthew Nethercote (University of Cambridge)
DTSTART:20240701T104500Z
DTEND:20240701T111500Z
UID:TALK214837@talks.cam.ac.uk
DESCRIPTION:Co-Authors: Anastasia Kisil\, Raphael Assier\nAcoustic wave sc
 attering by semi-infinite two-dimensional lattice structures is an essenti
 al but difficult subject to study in acoustic metamaterial research. In th
 is talk\, we consider diffraction by various configurations of many point 
 scatterers. In recent decades\, the Wiener-Hopf method has proven to be ve
 ry useful in determining solutions to diffraction problems with a periodic
  arrangement of point scatterers. A particular case that will be considere
 d here is when there is a doubly periodic quarter square lattice. This lea
 ds to a Wiener-Hopf equation in two variables with three unknown functions
  for which we can reduce and solve exactly using a new analytic method. Af
 ter some suitable truncations\, the solution can be numerically computed a
 nd is also compared to a numerical least squares collocation approach as w
 ell as to our previous method where we decomposed the lattice into rows or
  columns.
LOCATION:Seminar Room 1\, Newton Institute
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