Nonlinear left-handed metamaterials

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows changing the material properties from left- to right-handed and back. Using the finite-difference time-domain simulations, we study wave transmission through the slab of nonlinear left-handed material, and predict existence of temporal solitons in such materials. We demonstrate also that nonlinear left-handed metamaterials can support both TE- and TM-polarized self-trapped localized beams, spatial electromagnetic solitons. Such solitons appear as single- and multi-hump beams, being either symmetric or antisymmetric, and they can exist due to the hysteresis-type magnetic nonlinearity and the effective domains of negative magnetic permeability.Comment: 7 pages, 8 figure

THE DYNAMICS OF A HIGH-FREQUENCY DISCHARGE IN A WAVE BEAM

One of the important problems in the theory of a high-frequency discharge in electromagnetic wave beams (optical [1] , submillimeter [2] and rf [3] bands) in the study of self -consistent plasma-field evolution at the first afterbreakdown stages characterized by high electron temperature (Te > 104°K ) and low heavy particle temperature (Tm ~ 300°K). In the present paper the computer simulation results for the dynamics of such a nonequilibrium discharge in a converging wave beam are given. The analogous problem for a diverging beam was solved in [4]