Some canonical scattering problems solved and unsolved: cones and inflection

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• Valery Smyshlyaev (University College London)
• Wednesday 08 February 2023, 14:15-15:00
• Seminar Room 1, Newton Institute.

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MWSW01 - Canonical scattering problems

This historical overview continues two previous talks. Three-dimensional analogues of wedges are cones, and scattering by those has been 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 ultimately allow one to accurately evaluate related diffraction coefficients which are key characteristics from the point of view of Keller’s Geometric Theory of Diffraction. Another still largely unsolved canonical problem is that of whispering gallery waves scattering by boundary inflection. We argue why this a fundamental problem and give a brief overview of its history and current status. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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