Nonlinear Left-handed Materials And Propagation Of Te Mode In The Parallel Plates Waveguide

Left-handed material is a new type of artificial material with simultaneously negative permittivity and permeability, with a variety of unusual electromagnetic properties as follows:negative refraction, reversed Doppler shift, Cherenkov radiation, perfect lens effect and so on, which was introduced frist by Veselago in1968。But because of this special material has not been found in nature, the research of left-handed materials does not develop in a very long time.Until1990s,with the development of artificial periodic materials, scientists have theoretically and experimentally proved the possibility of realization of left-handed materials, respectively. The discovery of left-handed materials has been regarded as one of the ten most significant discoveries in science community in2003, and has been the front and focus area in physics and electromagnetics research。For many years, the most research work on left-handed materials mainly focus on their linear properties, where both the permittivity and permeability of the materials were assumed to be independent of the strengths of external electric and magnetic fields. In2003, Zharov first analyzed the nonlinear properties of a left-handed material, and he pointed out that, when the incident electromagnetic field strength is large enough, nonlinear properties of the materials should be taken into account. These results have excited great interests of people to research into nonlinear left-handed materials.Based on the theories of left-handed materials slab theory and waveguide theory,we have researched the theoretical model of nonlinear left-handed materials and the propagation of TE mode in the parallel plates waveguide filled with nonlinear left-handed materials.Take the traditional line-ring structures left-handed materials slab waveguide compinents of the Wires and SRRs with nonlinear Kerr media embedded in as the main research object,this paper simulated and analyzed the parameters of the propagation of electromagnetic waves in the parallel plates waveguide filled with nonlinear left-handed material. A theoretical investigation of field components for transverse electric wave (TE) mode in the perfect conductor parallel plates waveguide filled with nonlinear left-handed material (LHM)has been carried out. The electromagnetic fields of TE mode in this parallel plates waveguide and its dispersion equation are obtained. The dispersion characteristics for some lower-order TE mode are discussed through numerical analysis. It is found that the relative permittivity and permeability of the nonlinear LHM (where losses have been neglected)are negative when the frequencies of electromagnetic waves are from4GHz to6GHz. As the frequency of electrimagnetic wave increases, the dispersion strength increases linearly. The dispersion strength of the lower-order TE modes is greater than that of the higher-order modes when the distance between the upper plate and lower plate is the same. The phase velocity of electromagnetic waves increases linearly when the distance between the upper plate and lower plate increases. At the same time,the dispersion strength increases, while the frequencies of the electromagnetic waves are kept constant.