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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Trapped modes in electromagnetic waveguides - Luca
 s  Chesnel  (INRIA Saclay - Île-de-France)
DTSTART;TZID=Europe/London:20260415T101500
DTEND;TZID=Europe/London:20260415T111500
UID:TALK244009AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/244009
DESCRIPTION:We consider the Maxwell's equations with perfect e
 lectric conductor boundary conditions in three-dim
 ensional unbounded domains which are the union of 
 a bounded resonator and one or several semi-infini
 te waveguides. We are interested in the existence 
 of electromagnetic trapped modes\, that is L2 non 
 zero solutions of the problem without source term.
  These trapped modes are associated to eigenvalues
  of the Maxwell's operator\, that can be either be
 low the continuous spectrum or embedded in it. Fir
 st for homogeneous waveguides\, we will present di
 fferent families of geometries for which we can pr
 ove the existence of eigenvalues. Then we will sho
 w that certain non homogeneous waveguides with loc
 al perturbations of the dielectric constants can s
 upport trapped modes. Let us mention that certain 
 mechanisms we will describe are very specific to M
 axwell's equations and have no equivalent in the c
 lassical proofs of existence of trapped modes for 
 the scalar Dirichlet or Neumann Laplacians. \nThis
  is a joint work with A.-S. Bonnet-BenDhia and S. 
 Fliss.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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