| 渐变折射率波导传播特性微扰计算的代数递推公式 |
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| 引用本文： | 佘守宪,王健,张思炯,吴柳.渐变折射率波导传播特性微扰计算的代数递推公式[J].光学学报,2002,22(1):4-29. |
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| 作者姓名： | 佘守宪 王健 张思炯 吴柳 |
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| 作者单位： | 北方交通大学物理系,北京,100044 |
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| 基金项目： | 北方交通大学科技论文基金资助课题 |
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| 摘 要： | 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。
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| 关 键 词： | 计算 渐变折射率波导 传播常数 模场 微扰方法 代数递推公式 |
Algebraic Recursion Formulas for Perturbation Calculation of Propagation Characteristics of Graded-Index Optical Waveguides |
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| She Shouxian,Wang Jian,Zhang Sijiong,Wu Liu.Algebraic Recursion Formulas for Perturbation Calculation of Propagation Characteristics of Graded-Index Optical Waveguides[J].Acta Optica Sinica,2002,22(1):4-29. |
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| Authors: | She Shouxian Wang Jian Zhang Sijiong Wu Liu |
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| Abstract: | Algebraic recursion formulas for perturbation calculation of successive order approximate propagation constants of graded-index profile planar optical waveguides are derived by the use of hypervirial theorem (HVT) and Hellmann-Feynman theorem (HFT) in quantum mechanics. Algebraic formulas for calculation of modal field with given approximate value of propagation constant are also presented. Numerical results for several typical examples are given. The merit of the present method is that it can be applied to straightforward calculation of propagation constants and the corresponding modal fields in perturbation order. \{ |
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| Keywords: | graded-index optical waveguides propagation constant modal fields perturbation method algebraic recursion formulas |
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