5 papers
Numerical simulation of light structures in bulk ENZ media with Kerr nonlinearity
Victor P. Ruban
A simplified mathematical model is suggested to describe the dynamics of a quasi-monochromatic optical wave in the bulk of an effectively isotropic metamaterial with averaged diele…
Nonlinear dynamics of water waves over nonuniformly periodic bottom
Victor P. Ruban
By numerical simulation of exact equations of motion (in terms of conformal variables) for planar non-stationary potential flows of an ideal fluid with a free surface over a strong…
Narrow light beams with linear polarization in a Kerr medium
Victor P. Ruban
Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-foc…
"Exact" solutions for circularly polarized Kerr solitons
Victor P. Ruban, Roman V. Ruban
For the nonlinear vector curl-curl equation describing a monochromatic light wave in a Kerr medium, an exact reduction is suggested which results in a system of four ordinary diffe…
Small-scale light structures in a Kerr medium
Victor P. Ruban
A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the k…