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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Scattering from a random thin coating of nanoparti
cles - Laure Giovangigli (ENSTA ParisTech)
DTSTART;TZID=Europe/London:20230420T161500
DTEND;TZID=Europe/London:20230420T170000
UID:TALK198757AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/198757
DESCRIPTION:We study the time-harmonic scattering by a heterog
eneous object covered with a thin layer of randoml
y distributed nanoparticles. The size of the parti
cles\, their distance between each other and the l
ayer's thickness are all of the same order but sma
ll compared to the wavelength of the incident wave
. Solving numerically Maxwell's equation in this c
ontext is very costly. To circumvent this\, we pro
pose\, via a multi-scale asymptotic expansion of t
he solution\, an effective model where the layer o
f particles is replaced by an equivalent boundary
condition. The coefficients that appear in this eq
uivalent boundary condition depend on the solution
s to corrector problems of Laplace type defined on
unbounded random domains. Under the assumption th
at the particles are distributed given a stationar
y and ergodic random point process\, we study the
behavior at inifinity of those solutions and well-
posedness of the associated problems with both hom
ogeneous Dirichlet and Neumann boundary conditions
on the particles. We then establish quantitative
error estimates for the effective model and presen
t numerical simulations that illustrate our theore
tical results.\nThis is a joint work with Amandine
Boucart (ENPC\, Cermics) and Sonia Fliss (ENSTA P
aris\, Poems).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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