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中国物理学会期刊

推广的Tschebyshev多项式及其在解强耦合波导方程中的应用

CSTR: 32037.14.aps.52.3092

Generalized Tschebyshev polynomial and its application in solving the strong cou pling waveguide equations

CSTR: 32037.14.aps.52.3092
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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.

     

    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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