Semi-analytical method for light interaction with 1D-periodic nanoplasmonic structures.

We present a detailed description of a computationally efficient, semi-analytical method (SAM) to calculate the electomagnetic field distribution in a 1D-periodic, subwavelength-structured metal film placed between dielectric substrates. The method is roughly three orders of magnitude faster than the finite-element method (FEM). SAM is used to study the resonant transmission of light through nanoplasmonic structures, and to analyze the role of fundamental and higher-order Bloch surface plasmons in transmission enhancement.

Quadratic solitons in nonconservative media.

We develop a perturbation theory for the evolution of solitary waves in quadratic nonconservative nonlinear media. The expressions derived for the solitons' amplitude and width permit us to estimate straightforwardly the damping-amplification rate of an arbitrary soliton of the unperturbed system. The analytical results obtained agree well with numerical experiments.

Modulational instability in a transmission system with semiconductor optical amplifiers and in-line filters.

Modulational instability of continuous waves in transmission systems with semiconductor optical amplifiers and in-line filters was theoretically and experimentally analyzed. Stable and unstable domains were identified. Even in the normal-dispersion region, modulationally unstable domains can exist for an appropriate filter detuning.

High-gain Brillouin amplification: an analytical approach.

We derive a closed-form approximate analytical formula for the gain of a Brillouin fiber amplifier operating in the depleted pump regime. We take into account the material loss of the medium, which is a strong effect in optical fibers. We validate obtained results numerically and experimentally.

Nonlinear surface waves at the interfaces of left-handed electromagnetic media.

We report the existence of families of nonlinear TE-polarized surface waves propagating along the interface between different conventional and left-handed electromagnetic media as well as between two left-handed media. Both nonlinear/nonlinear and linear/nonlinear interfaces are considered. The constraints for the mode existence are identified and the energy flow associated with the surface modes is calculated.