光学学报, 2003, 23 (8): 964, 网络出版: 2006-06-27
仅有相邻波导耦合的定向耦合器的一般解法
General Solutions to Directional Couplers with Coupling Between Neighbored Waveguides Only
导波光学 定向耦合器 耦合模理论 切比雪夫多项式 通解 guided wave optics directional coupler mode coupling theory Chebyshev polynomial general solution
摘要
应用切比雪夫多项式,求得了仅有相邻波导耦合的(N+1)×(N+1)定向耦合器在弱耦合、无损耗和忽略正交偏振模场分量间耦合的情形下波导耦合方程的通解.列出线形排列2×2,3×3,4×4定向耦合器的解的表达式,并对环形排列3×3定向耦合器的解作了较详细的分析.
Abstract
General analytical solutions are given by means of Chebyshev polynomial for directional couplers, which are made up by lossless multi waveguides in a line or in a ring, weak coupling existing only between neighbored waveguides and polarization coupling being not considered also. As examples, expressions for the 2×2,3×3 and 4×4 directional couplers in the form of line are deduced. Besides, solution to the 3×3 directional coupler arranged in a ring is given and analyzed in detail.
孟义朝, 谭维翰, 黄肇明. 仅有相邻波导耦合的定向耦合器的一般解法[J]. 光学学报, 2003, 23(8): 964. 孟义朝, 谭维翰, 黄肇明. General Solutions to Directional Couplers with Coupling Between Neighbored Waveguides Only[J]. Acta Optica Sinica, 2003, 23(8): 964.