3 papers
math.AP2025
Spectral properties of operators and wave propagation in high-contrast media
Yuri A. Godin, Leonid Koralov, Boris Vainberg
The paper aims to study the spectral properties of elliptic operators with highly inhomogeneous coefficients and related issues concerning wave propagation in high-contrast media.…
cond-mat.mtrl-sci2019
Slowdown of group velocity in periodic waveguides
Yuri A. Godin, Boris Vainberg
We consider the propagation of acoustic, electromagnetic and elastic waves in a one-dimensional periodic two-component material. Accurate asymptotic formulas are provided for the g…
math-ph2018
Dispersive and effective properties of two-dimensional periodic media
Yuri A. Godin, Boris Vainberg
We consider transverse propagation of electromagnetic waves through a two-dimensional composite material containing a periodic rectangular array of circular cylinders. Propagation…