4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.NA2018★ 4 cited
Inverse Problem of Diffraction by an Inhomogeneous Solid with a Piecewise Hoelder Refractive Index
Mikhail Medvedik, Yury Smirnov, Aleksei Tsupak
The problem of reconstruction of an unknown refractive index of an inhomogeneous solid is considered. The refractive index is assumed to be a piecewise-Hölder function T…
math-ph2012★ 1 cited
Eigenwaves in Waveguides with Dielectric Inclusions: Completeness
Yury Shestopalov, Yury Smirnov
We formulate the definition of eigenwaves and associated waves in a nonhomogeneously filled waveguide using the system of eigenvectors and associated vectors of a pencil and prove…
math-ph2012
Eigenwaves in Waveguides with Dielectric Inclusions: Spectrum
Yury Smirnov, Yury Shestopalov
We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for…