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SUMMARY:Waves\, oscillatory double integrals\, and multidimensional comple
 x analysis - Raphael Assier (University of Manchester)
DTSTART:20240701T130000Z
DTEND:20240701T133000Z
UID:TALK214849@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will give an overview of recent developments 
 linking wave theory and multidimensional complex analysis. I will explain 
 how a procedure of complex deformation of the integration surface of Fouri
 er-like highly oscillatory double integrals can lead to closed-form far-fi
 eld asymptotics results in wave diffraction theory. Each far-field compone
 nt will be shown to be connected to a special point on the singularity set
  of the integrand.\nThe procedure will be illustrated through two examples
  that can be reformulated as two-complex-variables scalar Wiener-Hopf prob
 lems: the three-dimensional problem of plane wave diffraction by a quarter
 -plane and the two-dimensional problem of plane wave diffraction by a pene
 trable wedge. I will also show how it can be used to shed some light on wa
 ve propagation in periodic structures.\nThe talk will cover aspects of sev
 eral articles written jointly with great collaborators who should be ackno
 wledged: Andrey V. Shanin\, Andrey K. Korolkov\, Valentin D. Kunz and I. D
 avid Abrahams.
LOCATION:Seminar Room 1\, Newton Institute
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