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math.SP2018
-interaction as a limit of a thin Neumann waveguide with transversal window
Giuseppe Cardone, Andrii Khrabustovskyi
We consider a waveguide-like domain consisting of two thin straight tubular domains connected through a tiny window. The perpendicular size of this waveguide is of order $\varepsil…
math.SP2016
Example of periodic Neumann waveguide with gap in spectrum
Giuseppe Cardone, Andrii Khrabustovskyi
In this note we investigate spectral properties of a periodic waveguide ( is a small parameter) obtained from a straight strip by attaching an array of…