Nonlinear graphene plasmonics: amplitude equation

Using perturbation expansion of Maxwell equations, the amplitude equation is derived for nonlinear TM and TE surface plasmon waves supported by graphene. The equation describes interplay between in-plane beam diffraction and nonlinerity due to light intensity induced corrections to graphene conductivity and susceptibility of dielectrics. For strongly localized TM plasmons, graphene is found to bring the superior contribution to the overall nonlinearity. In contrast, nonlinear response of the substrate and cladding dielectrics can become dominant for weakly localized TE plasmons.Comment: published in Phys. Rev.

Classical and quantum radiation of perturbed discrete breathers

We show that the linearized phase space flow around a discrete breather solution is not capable of generating persistent energy flow away from the breather even in the case of instabilities of extended states. This holds both for the classical and quantized description of the flow. The main reason for that is the parametric driving the breather provides to the flow. Corresponding scaling arguments are derived for both classical and quantum cases. Numerical simulations of the classical flow support our findings.Comment: 8 pages, 3 figure

Intrinsic bistability and dual-core dark solitons and vortices in exciton polariton condensates

We investigate a new kind of dark solitons and vortices that can exist in the exciton-polariton condensates. These structures have discontinuity in the excitonic part of the polaritonic field and exist due to an intrinsic multiplicity of the solutions for the exciton density in the given optical field. Reported solutions are characterized by two very distinct localization scales, and hence are coined as dual-core dark solitons and vortices

Channel Restoration Above Elephant Butte Reservoir

The Bureau of Reclamation is responsible for maintenance of channel facilities above Elephant Butte Reservoir in New Mexico. These facilities are designed to maximize the efficiency of water delivery into the reservoir pool. The major facilities operated and maintained by Reclamation include a rectified floodway channel and the Low Flow Conveyance Channel. When constructed in the 1950\u27s, a period of prolonged drought and low reservoir levels, these channels extended some 20 (32 Ion) miles through then dry areas of the reservoir. Between 1979 and 1987 flows in the Rio Grande were significantly above normal. Elephant Butte Reservoir filled for the ftrst time since 1942 and the lower reaches of the Low Flow Conveyance Channel and rectified floodway were inundated. Great quantities of sediment deposited in the upper reservoir and in the river reach affected by its backwater. Channels were filled by depositing sediment impairing delivery of water into the reservoir. When the reservoir level began to drop, restoration of efficient channels into the reservoir became a high priority. This paper describes and documents the strategies and methods employed to restore efficient transport of water and sediment into Elephant Butte Reservoir

Spectral-discrete solitons and localization in frequency space

We report families of discrete optical solitons in frequency space, or spectral-discrete solitons existing in a dispersive Raman medium, where individual side-bands are coupled by coherence. The associated time-domain patterns correspond to either trains of ultrashort pulses, or weakly modulated waves. We describe the physics behind the spectral localization and study soliton bifurcations, stability and dynamics.Comment: 4 pages, 4 figures, submitted to Opt. Let