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math.AP2020
Maxwell's equations with hypersingularities at a conical plasmonic tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these const…
math.AP2020
A continuation method for building invisible obstacles in waveguides
Antoine Bera, Antoine-Sophie Bonnet-BenDhia, Lucas Chesnel
We consider the propagation of acoustic waves at a given wavenumber in a waveguide which is unbounded in one direction. We explain how to construct penetrable obstacles characteriz…