The graded-index optical waveguide mode equation is strictly derived. We get an analytical equation and provide a method of numerical calculation.
本文对渐变型波导的模方程，进行严格的推导，得到解析表达式，从而给出了数值求解的方法。
Then the mode series of step index planar dielectric waveguide and circular optical fiber are studied, including propagation modes and radiation modes.
接着推导了阶跃折射率平面介质波导和圆光纤的正交模式——包括束缚模式和辐射模式。
The Gaussian index profile of a diffused optical waveguide is approximated by an appropriate polynomial, and the asymptotic solutions of the mode efficient index is derived in a analytical form.
本文用适当的多项式函数近似扩散光波导的高斯折射率分布函数，推导了导模有效折射率的解析形式渐近解。
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