Open AccessGeneralized Tschebyshev polynomial and its application in solving the strong cou pling waveguide equations
Author(s) -
Qizhi Guo,
Tan Wei-Han,
Yansong Meng
Publication year - 2003
Publication title -
wuli xuebao
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.