34 citations · 105 across the 13 of their papers we have counts for
13 papers
Localized waves in the nonlinear rhombic waveguide array
A. I. Maimistov, E. I. Lyashko, E. O. Elyutin
Solitary electromagnetic waves propagating along the waveguides forming a rhombic one-dimensional lattice are considered. Two waveguides that are part of the unit cell are assumed…
On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide Array
Andrey I. Maimistov
The quasi-one-dimensional rhombic array of the waveguides is considered. In the nonlinear case the system of equations describing coupled waves in the waveguides has the solutions…
Electromagnetic Wave Propagation in a Quasi-1D Rhombic Linear Optical Waveguide Array
Andrey I. Maimistov, Viktor A. Patrikeev
The quasi-one-dimensional rhombic array of the waveguides is considered. System of equations describing coupled waves in the waveguide in the linear limit is solved exactly. The el…
Guided Waves in Asymmetric Hyperbolic Slab Waveguides. The TM Mode Case
Ekaterina I. Lyashko, Andrey I. Maimistov
Nonlinear guided wave modes in an asymmetric slab waveguide formed by an isotropic dielectric layer placed on a linear or nonlinear substrate and covered by a hyperbolic material a…
Linear guided waves in hyperbolic slab waveguide. Dispersion relations
Ekaterina I. Lyashko, Andrey I. Maimistov
Guided waves modes in a slab waveguide formed from the isotropic dielectric layer embedded by hyperbolic materials are investigated. Optical axis is normal to the slab plane. The d…
Modulation instability in nonlinear positive-negative index waveguide array
A. A. Dovgiy, A. I. Maimistov
Modulation instability in a nonlinear optical waveguide array with alternating positive and negative refractive indices is investigated analytically. Particular solutions of a syst…