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仅有相邻波导耦合的定向耦合器的一般解法
引用本文:孟义朝,谭维翰,黄肇明.仅有相邻波导耦合的定向耦合器的一般解法[J].光学学报,2003,23(8):64-969.
作者姓名:孟义朝  谭维翰  黄肇明
作者单位:1. 上海大学光纤研究所,上海,201800;上海大学通信学院光波技术实验室,上海,200072
2. 上海大学物理系,上海,200436
3. 上海大学通信学院光波技术实验室,上海,200072
基金项目:上海市教委青年基金 (0 2AQ77),上海市重点学科建设资金资助课题
摘    要:应用切比雪夫多项式 ,求得了仅有相邻波导耦合的 (N +1)× (N +1)定向耦合器在弱耦合、无损耗和忽略正交偏振模场分量间耦合的情形下波导耦合方程的通解。列出线形排列 2× 2 ,3× 3,4× 4定向耦合器的解的表达式 ,并对环形排列 3× 3定向耦合器的解作了较详细的分析

关 键 词:光波导  定向耦合器  耦合模理论  切比雪夫多项式  通解  波导耦合方程
收稿时间:2002/6/14

General Solutions to Directional Couplers with Coupling Between Neighbored Waveguides Only
Meng Yichao , Tan Weihan Huang Zhaoming Institute of Fiber Optics,Shanghai University,Shanghai Physics.General Solutions to Directional Couplers with Coupling Between Neighbored Waveguides Only[J].Acta Optica Sinica,2003,23(8):64-969.
Authors:Meng Yichao  Tan Weihan Huang Zhaoming Institute of Fiber Optics  Shanghai University  Shanghai Physics
Institution:Received 14 June 2002; revised 02 September 2002
Abstract:General analytical solutions are given by means of Chebyshev polynomial for directional couplers, which are made up by lossless multi waveguides in a line or in a ring, weak coupling existing only between neighbored waveguides and polarization coupling being not considered also. As examples, expressions for the 2×2,3×3 and 4×4 directional couplers in the form of line are deduced. Besides, solution to the 3×3 directional coupler arranged in a ring is given and analyzed in detail.
Keywords:guided wave optics  directional coupler  mode coupling theory  Chebyshev polynomial  general solution
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