应用科学学报 ›› 2003, Vol. 21 ›› Issue (1): 5-8.

• 论文 • 上一篇    下一篇

基于3D-GM-BPM的平行定向耦合器模拟研究

肖金标, 孙小菡, 蔡纯, 张夕飞, 朱建彬, 张明德, 丁东   

  1. 东南大学电子工程系 江苏 南京 210096
  • 收稿日期:2001-12-14 修回日期:2002-03-05 出版日期:2003-03-10 发布日期:2003-03-10
  • 作者简介:肖金标(1969-),男,江西于都人,博士生;孙小菌(1955-),女,安徽黄山人,教授,博导;张明德(1939-),男,上海人,教授,博导
  • 基金资助:
    高等学校博士学科点专项科研基金资助课题(98028638)

An Investigation of the Modeling for a Parallel Directional Coupler Based on the 3D-GM-BPM

XIAO Jin-biao, SUN Xiao-han, CAI Chun, ZHANG Xi-fei, ZHUJian-bin, ZHANG Ming-de, DING Dong   

  1. Department of Electronic Engineering, Southeast University, Nanjing 210096, China
  • Received:2001-12-14 Revised:2002-03-05 Online:2003-03-10 Published:2003-03-10

摘要: 提出了基于伽辽金法的三维光束传播法(3D-GM-BPM),可直接应用于三维波导光电子器件的光波传输模拟,并用它模拟分析了基于脊形光波导的平行定向耦合器的光波传输特性.3D-GM-BPM最终归结为求解一阶常微分方程组,导出矩阵小,计算效率高.另外,平面映射边界条件使该方法无须引入人工边界条件,因而消除了非物理反射,有较高的计算精度.

关键词: 伽辽金法, 脊形光波导, 平行定向耦合器, 三维光束传播法

Abstract: A three-dimensional beam propagation method based on the Galerkin method (3D-GM-BPM) is proposed for directly modeling a parallel directional coupler based on optical rib waveguides. The computational efficiency is raised due to the small matrix derived from this method, which is reduced to solver a first-order normal differential equation system. A tangent-type function is applied to map the infinite region into closed region. As a result, the artificial boundary condition is eliminated.

Key words: three-dimensional beam propagation method (3D-BPM), parallel directional couplers, Galerkin method (GM), optical rib waveguides

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