基于等效衰减矢方法的非均匀光波导色散方程

利用转换矩阵理论和等效衰减矢的概念，以此为根据分析了任意折射率分布平板波导的模式传输特性，导出了意义明确的非均匀平板波导的色散方程的严格的解析解，并指出了ＷＫＢ法的局限性，数值计算的结果表明本文所得公式的结果和严格的数值解非常接近，表明本文所得的公式是严格的。

Dispersion Equation Of Inhomogeneous Planar Optical Waveguides Based on Concept of Equivalent Attenuated Vector

Based on the transfer-matrix technique, the concept of an equivalent attenuated vector is proposed and used to analyse the characteristics of the propogating modes in the planar optical waveguides with arbitrary refractive index profile. For the dispersion equation in inhomogeneous planar optical waveguides, an exact analytic solution is obtained. A comparison with other approximations and the exact numerical results show that our dispersion equation is exact.