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math.AP2017
Simple examples of perfectly invisible and trapped modes in waveguides
Lucas Chesnel, Vincent Pagneux
We consider the propagation of waves in a waveguide with Neumann boundary conditions. We work at low wavenumber with only one propagating mode in the leads, all the other modes bei…
math.AP2017
Invisibility and perfect reflectivity in waveguides with finite length branches
Lucas Chesnel, Sergei A. Nazarov, Vincent Pagneux
We consider a time-harmonic wave problem, appearing for example in water-waves and in acoustics, in a setting such that the analysis reduces to the study of a 2D waveguide problem…