Characteristics Of Nonlinear Surface Wave In The Anisotropic Left-Handed Materials

The research and development of Left-handed materials have induced a great influence on fields such as solid physics, material science, optics and applied electromagnetics in recent years. There are essential distinctions between the Left-handed materials and traditional materials when interact with electromagnetic wave, in LHMs many exciting and unusual properties are expected, for example, negative refraction, reversed Cherenkov effect, reversed Doppler effect and negative Goos-H?nchen shift, etc. What impresses us mostly is that LHMs can amplify the evanescent wave that spread in traditional materials; all the energy can be focused to image point, so it's called"perfect lens."The absorption of materials and the surface waves lead to an additional imaging limit, which reduces the image quality. Therefore research on interface effects of the materials, including a strong optical nonlinearity is significantly important. In order to study the relations between the basic parameters of materials and electromagnetic waves propagating characteristics thoroughly, it is necessary to consider physical mechanism when the electromagnetic field interacts with the materials.First of all, this dissertation provides the character of surface wave on the interface of anisotropic left-hand medium, have analyzed concretely the relation of flow size with every parameter, and the range of existence for positive and negative flow when transverse electrical wave propagates between two defocusing interface. The dispersion relation and the expression of flow when transverse electrical wave propagates between focusing and defocusing interface, the propagating characteristic of the surface wave between linear and defocusing interface are analyzed.Secondly, according to the Maxwell equations, electrical and magnetic field coupling equations are given when the nonlinear polarized TM wave propagates on the surface of LHMs. By boundary conditions, the initial values of electrical and magnetic field are found out, numerical simulation of the electric field component changing with the propagation distance, and the energy flow changing with effective refractive index of guiding wave are accomplished. It's demonstrated that electrical field of surface wave on the surface of anisotropic left handed materials reduces faster with the increase of propagation distance than that on the surface of isotropic left handed materials, while the speed of corresponding energy absorbed by the interface to zero turns quickly.