BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Spherical Sommerfeld Integrals - Valentin Kunz (University of Camb
 ridge)
DTSTART:20240704T133000Z
DTEND:20240704T140000Z
UID:TALK216652@talks.cam.ac.uk
DESCRIPTION:This talk is dedicated to the diffraction problem resulting fr
 om the interaction of a monochromatic plane-wave with a quarter-plane (fla
 t cone) in three spatial dimensions.&nbsp\;\nOne of the key-quantities inv
 olved in this problem is the diffraction coefficient\, which describes the
  amplitude of the spherical wave diffracted by the quarter-plane's vertex.
  This coefficient can be described in terms of the problem's (edge) Green'
 s functions. By generalising Sommerfeld's method of images from the (compl
 exified) circle to the (complexified) sphere\, we find a spherical plane-w
 ave decomposition of these Green's functions\, in the sense explained in A
 . Shanin's talk https://www.newton.ac.uk/seminar/42186/. This generalisati
 on is achieved by analytically continuing wave-fields from the real sphere
  to the complexified sphere\, in the spirit of [1].\nOur corresponding 'sp
 herical Sommerfeld integral' involves some unknown directivities (the spec
 tral functions)\, which depend only on a single(!) complex variable. Here\
 , we will give an overview of our theory.\nAll of this work is done in col
 laboration with Raphael C. Assier and Andrey V. Shanin.\nReferences:[1] As
 sier\, R.C. and Shanin\, A.V. (2021) Analytical continuation of two-dimens
 ional wave fields Proc. Roy. Soc. A\, 477:2020081
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR