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SUMMARY:On the Shoulders of Plates: Acoustic Scattering off a Plate of Fin
 ite Thickness - Mungo G. Aitken (DAMTP\, University of Cambridge)
DTSTART:20211122T150000Z
DTEND:20211122T160000Z
UID:TALK166366@talks.cam.ac.uk
CONTACT:Mungo G. Aitken
DESCRIPTION:The Sommerfeld problem of acoustic scattering off a semi-infin
 ite plate of vanishing thickness is a classic and well-studied canonical p
 roblem in diffraction theory. However\, one key limitation of this problem
  is the clearly unphysical condition that the plate is of zero thickness. 
 Jones sought to rectify this shortcoming in his seminal paper (1953) in wh
 ich an analysis of a plate of finite thickness d is undertaken\, using an 
 approach analogous to the Wiener–Hopf technique. Crighton and Leppington
  considered the low-frequency regime of the same problem in their paper (1
 973) which yields a singular perturbation problem. This enables the use of
  matched asymptotic expansions\, along with the Wiener–Hopf technique\, 
 to extract an expression for the far-field scattering valid for low-freque
 ncy waves.\n\nCurrent work with Raphael Assier (Manchester) and David Abra
 hams (Cambridge) achieves the determination of an expression for far-field
  scattering which is valid for all frequencies\, an important generalisati
 on of previous work. This is done through application of various methods s
 uch as exploitation of symmetry inherent in the problem\, the Wiener–Hop
 f technique and pole removal.\n\nIn the talk we will discuss key points of
  the solution procedure. The nature of the scattering potential will also 
 be discussed\, along with details of current numerical investigations.
LOCATION:CMS\, MR11
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