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math.AP2025
Trapped modes in electromagnetic waveguides
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sonia Fliss
We consider the Maxwell's equations with perfect electric conductor boundary conditions in three-dimensional unbounded domains which are the union of a bounded resonator and one or…
math.AP2025
A few techniques to achieve invisibility in waveguides
Lucas Chesnel
The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful…
math.AP2025
Eigenvalue falls in thin broken quantum strips
Lucas Chesnel, Sergei A. Nazarov
We are interested in the spectrum of the Dirichlet Laplacian in thin broken strips with angle . Playing with symmetries, this leads us to investigate spectral problems for the L…