Shadrivov, IlyaZharov, N AlexanderKivshar, Yuri2015-12-132015-12-13August 4 20277-786Xhttp://hdl.handle.net/1885/78388We 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. We predict 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.Keywords: Boundary conditions; Electric field effects; Magnetic permeability; Magnetic susceptibility; Microstructure; Microwaves; Solitons; Electromagnetic solitons; Left-handed metamaterials; Nonlinear magnetic susceptibility; Nonlinear optics Electromagnetic solitons; Left-handed metamaterials; Nonlinear magnetic susceptibility200410.1117/12.5606832015-12-11