The Coupling Model For Electric And Magnetic Fields In Nonlinear Left-handed Materials

Left-handed materials (LHMs) are new type of artificial composite stru-ctures that demonstrate a number of peculiar properties and potential applica-tion value, which caused the domestic and foreign research workers widespr-read concern. Thus far, almost all properties of LHMs were studied in the linear regime of wave propagation. However, nonlinear effects in LHMs have been recently taken under consideration by some authors Zharov et al. They showed that the magnetic field intensity couples to the magnetic resonance of the SRR in a nontrivial way, and that changing the material properties from left-to right-handed and back is allowed by varying the field intensity.The study of the nonlinear properties of LHMs are inspired researchers interest. In 2005, Lazarides established a system of coupled nonlinear Schrodinger equa-tions, within the slowly varying envelop approximation. This system admits bright and dark soliton solutions. So in view of such research results, the ma-in work in this thesis is that we consider the magnetic saturation effect, obtain the higher-order nonlinear Schrodinger equations and its bright and dark soliton pairs.