三阶非线性聚合物光波导研究

General dispersion relation in the Ker law nonlinear medium

以三阶克尔型非线性波导为例，利用雅可比椭圆函数的特性，定义了一种新颖的雅可比椭圆余切振幅函数，以此建立了类似线性的在非线性条件下的色散关系，使形式简化、物理意义清晰。并利用这一关系分析了该情况下的模式特性和场特性。

A novel representation for the behavior of TE nonlinear waves in an optically nonlinear film is given, which is formulated in terms of Jacobian elliptic cotangent amplitude functions. This representation gives a straightforward way to introduce a general dispersion relation similar to linear waves. The optical nonlinearity is of the Kerr type and numerical calculations are performed for a self focusing medium. It is shown that this new model greatly simplifies the complexity in solving nonlinear medium problems.