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SUMMARY:A simple introduction to multiple scattering and homogenization - 
 David Abrahams (University of Cambridge)
DTSTART:20230111T111500Z
DTEND:20230111T121500Z
UID:TALK193073@talks.cam.ac.uk
DESCRIPTION:The principal aims of my three lectures are (i) to outline a f
 ew basic concepts in multiple scattering theory and (ii) to offer an intro
 duction to asymptotic homogenization. We shall proceed by examining a few 
 extremely simple 'toy' models\, which are mostly one-dimensional to reduce
  the technical detail\, ease exposition and even produce closed-form resul
 ts. These explicit results will allow us to verify that the homogenized ex
 pressions for the effective material properties agree with those found fro
 m the full solution in the long-wavelength limit.\nPerhaps surprisingly\, 
 many phenomena found in more realistic (and complex) multiple scattering m
 odels can be observed in these simple examples\; as time allows I shall di
 scuss these\, along with important features missing from my models.
LOCATION:Seminar Room 1\, Newton Institute
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