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SUMMARY:Scattering from a random thin coating of nanoparticles - Laure Gio
 vangigli (ENSTA ParisTech)
DTSTART:20230420T151500Z
DTEND:20230420T160000Z
UID:TALK198757@talks.cam.ac.uk
DESCRIPTION:We study the time-harmonic scattering by a heterogeneous objec
 t covered with a thin layer of randomly distributed nanoparticles. The siz
 e of the particles\, their distance between each other and the layer's thi
 ckness are all of the same order but small compared to the wavelength of t
 he incident wave. Solving numerically Maxwell's equation in this context i
 s very costly. To circumvent this\, we propose\, via a multi-scale asympto
 tic expansion of the solution\, an effective model where the layer of part
 icles is replaced by an equivalent boundary condition. The coefficients th
 at appear in this equivalent boundary condition depend on the solutions to
  corrector problems of Laplace type defined on unbounded random domains. U
 nder the assumption that the particles are distributed given a stationary 
 and ergodic random point process\, we study the behavior at inifinity of t
 hose solutions and well-posedness of the associated problems with both hom
 ogeneous Dirichlet and Neumann boundary conditions on the particles. We th
 en establish quantitative error estimates for the effective model and pres
 ent numerical simulations that illustrate our theoretical results.\nThis i
 s a joint work with Amandine Boucart (ENPC\, Cermics) and Sonia Fliss (ENS
 TA Paris\, Poems).
LOCATION:Seminar Room 1\, Newton Institute
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