渐变折射率波导传播特性微扰计算的代数递推公式  

Algebraic Recursion Formulas for Perturbation Calculation of Propagation Characteristics of Graded-Index Optical Waveguides

作　　者：佘守宪[1] 王健[1] 张思炯[1] 吴柳[1] 

机构地区：[1]北方交通大学物理系,北京100044

出　　处：《光学学报》2002年第1期24-29,共6页Acta Optica Sinica

基　　金：北方交通大学科技论文基金资助课题

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 。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. \{

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 

分 类 号：TN252[电子电信—物理电子学]