26 citations · 83 across the 13 of their papers we have counts for
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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…
Effective properties of periodic tubular structures
Yuri A. Godin
A method is described to calculate effective tensor properties of a periodic array of two-phase dielectric tubes embedded in a host matrix. The method uses Weierstrass' quasiperodi…
Effective complex permittivity tensor of a periodic array of cylinders
Yuri A. Godin
We determine the effective complex permittivity of a two-dimensional composite, consisting of an arbitrary doubly periodic array of identical circular cylinders in a homogeneous ma…
The effective conductivity of a periodic lattice of circular inclusions
Yuri A. Godin
We determine the effective conductivity of a two-dimensional composite consisting of a doubly periodic array of identical circular cylinders within a homogeneous matrix. We obtain…