| 推广的Tschebyshev多项式及其在解强耦合波导方程中的应用 |
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| 引用本文： | 郭奇志,谭维翰,孟义朝. 推广的Tschebyshev多项式及其在解强耦合波导方程中的应用[J]. 物理学报, 2003, 52(12): 3092-3097 |
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| 作者姓名： | 郭奇志 谭维翰 孟义朝 |
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| 作者单位： | (1)上海大学光纤研究所,上海 201800; (2)上海大学物理系,上海 200436 |
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| 基金项目： | 上海市教育委员会重点学科资助的课题. |
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| 摘 要： | 推广了Tschebyshev多项式，对推广的Tschebyshev多项式的性质作了分析；并应用于求解（ N+1）×（N+1）强耦合环形波导耦合器方程，得出解析解. 具体计算了5×5环形定向耦合器 的解，并对弱耦合与强耦合的关系进行了详细分析. 关键词：推广的Tschebyshev多项式强耦合波导耦合器
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| 关 键 词： | 推广的Tschebyshev多项式 强耦合波导耦合器 |
| 收稿时间： | 2003-02-28 |
| 修稿时间： | 2003-04-01 |
Generalized Tschebyshev polynomial and its application in solving the strong cou pling waveguide equations |
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| Guo Qi-Zhi,Tan Wei-Han and Meng Yi-Chao. Generalized Tschebyshev polynomial and its application in solving the strong cou pling waveguide equations[J]. Acta Physica Sinica, 2003, 52(12): 3092-3097 |
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| Authors: | Guo Qi-Zhi Tan Wei-Han Meng Yi-Chao |
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| Abstract: | In this paper, by means of generalized Tschebyshev polynomial, the analytical so lution is derived for (N+1)×（N+1） waveguide couplers arranged in a ring with strong coupling. As a concrete example, the solution of 5×5 waveguide couplers is calculated, and the relationship between strong and weak couplings is analyze d. The property of generalized Tschebyshev polynomial is discussed in detail. |
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| Keywords: | generalized Tschebyshev polynomial waveguide couplers with strong c oupling |
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