33 citations · 146 across the 30 of their papers we have counts for
6 papers · 1 filter
The inverse problem of two-state quantum systems with non-adiabatic static linear coupling
Andrii Khrabustovskyi, Imen Rassas, Éric Soccorsi
We consider the inverse problem of determining the coupling coefficients in a two-state Schrödinger system. We prove a Lipschitz stability inequality for the zeroth and first order…
-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…
Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations
Karim Mnasri, Andrii Khrabustovskyi, Michael Plum +1
The parameter retrieval is a procedure in which effective material properties are assigned to a given metamaterial. A widely used technique bases on the inversion of reflection and…
Surface Plasmon Polaritons Sustained at the Interface of a Nonlocal Metamaterial
Joshua Feis, Karim Mnasri, Andrii Khrabustovskyi +3
Studying basic physical effects sustained in metamaterials characterized by specific constitutive relation is a research topic with a long standing tradition. Besides intellectual…
Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
Diana Barseghyan, Andrii Khrabustovskyi
We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of…
Gap control by singular Schrödinger operators in a periodically structured metamaterial
Pavel Exner, Andrii Khrabustovskyi
We consider a family of -periodic Schrödinger operators with -interactions supported on a lattice of clos…