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

Qizhi Guo | Zendy; TAN WEI-HAN | Zendy; 孟义朝 MENG Yi-chao | Zendy

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

Author(s) -

Qizhi Guo,

TAN WEI-HAN,

孟义朝 MENG Yi-chao

Publication year - 2003

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.52.3092

Subject(s) - waveguide , polynomial , coupling (piping) , polynomial ring , property (philosophy) , mathematical analysis , physics , mathematics , optics , materials science , composite material , philosophy , epistemology

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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