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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.
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关键词:
- 推广的Tschebyshev多项式 /
- 强耦合波导耦合器
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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