中文摘要：

从麦克斯韦方程组出发，结合边界条件，分别得到TM波和TE波在金属和Kerr非线性介质界面上表面等离子体激元的色散关系.由于非线性的存在， TM波的色散关系变得复杂，与光强、非线性系数有关.和线性情况一样，此界面不存在TE波.

英文摘要：

The dispersion relation of transverse magnetic（TM） wave and transverse electric（TE） wave for surface plasmon at a metal-Kerr nonlinear medium interface are analyzed based on the Maxwell equations and the boundary conditions. The dispersion relation of TM wave is complex, due to the nonlinearity, and it has a dielectric coefficient and intensity-dependent expression. However, the TE wave does not exist at this interface as in the linear case.