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SUMMARY:Some canonical scattering problems solved and unsolved: cones and 
 inflection - Valery Smyshlyaev (University College London)
DTSTART:20230208T141500Z
DTEND:20230208T150000Z
UID:TALK194788@talks.cam.ac.uk
DESCRIPTION:This historical overview continues two previous talks. Three-d
 imensional analogues of wedges are cones\, and scattering by those has bee
 n intensively studied since the beginning of the 20-th century\, first via
  classical separation of variables for circular and some other cones with 
 ideal boundaries. Then cones of more general shapes or/and with impedance-
 type boundary conditions were studied by more advanced tools\, which ultim
 ately allow one to accurately evaluate related diffraction coefficients wh
 ich are key characteristics from the point of view of Keller's Geometric T
 heory of Diffraction. Another still largely unsolved canonical problem is 
 that of whispering gallery waves scattering by boundary inflection. We arg
 ue why this a fundamental problem and give a brief overview of its history
  and current status.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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