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Large array scattering

Supervisor: Richard Porter

Theme: Fluid Dynamics

There are many physical applications where one wishes to assess
the diffraction of waves by a `large' but finite number of objects
placed in a medium which supports wave propagation. For instance,
waves on the ocean interacting with a large number of vertical
supporting columns is of practical interest in the proposed design
of offshore runways in Japan, or in the ribs of an airframe
structure in which the air supports acoustic waves and the panels
between the ribs support flexural waves. Typically, when
calculating the solutions to these problems, one can readily develop
analytic techniques to solve for scattering by a finite number of
scatterers and for an infinite periodic array of scatterers. However,
the problems become much more complicated when one considers
large, but finite, numbers of scatterers, or randomly-placed scatterers.
Very recently, some progress has been made on developing
analytical techniques for solving such problems, but there is
plenty of scope for to develop further techniques and applying
them to physically important problems.