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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Discrete Helmholtz equation and the interaction of
two perpendicular semi-infinite boundaries: one e
quation with tree unknown functions. - Anastasia K
isil (University of Manchester)
DTSTART;TZID=Europe/London:20230206T153000
DTEND;TZID=Europe/London:20230206T161500
UID:TALK194740AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/194740
DESCRIPTION:In this talk we are interested in solving the disc
rete Helmholtz equation on a square lattice with t
wo perpendicular semi-infinite boundary conditions
. The interaction of the two boundary forms an int
eresting multiple scattering problem which leads t
o a new equation to solve. This is a generalisatio
n of the classical Wiener--Hopf equation\, now in
two variables and with three unknown function. A s
olution method for this type of equation will be p
resented by defining an underlining manifold that
links the two variables. \;Next the analytici
ty regions of unknown functions is extended and th
at allows to simplify the problem. As the result t
he problem is fully solvable in terms of Cauchy ty
pe integrals which is surprising since this is not
always possible for such complicated type of prob
lems. Some toy examples are presented to illustrat
e the method.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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