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应用量子力学的超位力定理 (HVT)和赫尔曼费恩曼 (Hellmann Feynman)定理 (HFT) ,导出了用微扰法计算渐变折射率平面波导传播常数各级近似值的代数递推公式 ,并给出了由传播常数近似值计算模场近似表达式的代数公式。计算了几个典型实例。此法的特点是便于直接计算任意级近似的传播常数及模场分布 ,且可推广到二维波导的计算
Using algebraic recursion formulas of perturbation method to calculate the approximate values of the propagation constants of the graded-index planar waveguide, the supercontracting theorem (HVT) and the Hellmann Feynman’s theorem (HFT) The algebraic formula for calculating the approximate expression of mode field by the approximation of propagation constant is given. Calculated a few typical examples. The characteristic of this method is that it is convenient to directly calculate the propagation constant and mode field distribution at any level and can be extended to the calculation of two-dimensional waveguide