Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation  

作　　者：肖金标 张明德 孙小菡 

机构地区：[1]Laboratory of Photonics and Optical Communications, Electronic Engineering Department, Southeast University, Nanjing 210096, China

出　　处：《Chinese Physics B》2006年第1期143-148,共6页中国物理B（英文版）

摘　　要：Based on the polynomial interpolation, a new finite difference （FD） method in solving the full-vectorial guidedmodes for step-index optical waveguides is proposed. The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are considered in the absence of the limitations of scalar and semivectorial approximation, and the present PD scheme can be applied to both uniform and non-uniform mesh grids. The modal propagation constants and field distributions for buried rectangular waveguides and optical rib waveguides are presented. The hybrid nature of the vectorial modes is demonstrated and the singular behaviours of the minor field components in the corners are observed. Moreover, solutions are in good agreement with those published early, which tests the validity of the present approach.Based on the polynomial interpolation, a new finite difference （FD） method in solving the full-vectorial guidedmodes for step-index optical waveguides is proposed. The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are considered in the absence of the limitations of scalar and semivectorial approximation, and the present PD scheme can be applied to both uniform and non-uniform mesh grids. The modal propagation constants and field distributions for buried rectangular waveguides and optical rib waveguides are presented. The hybrid nature of the vectorial modes is demonstrated and the singular behaviours of the minor field components in the corners are observed. Moreover, solutions are in good agreement with those published early, which tests the validity of the present approach.

关 键 词：polynomial interpolation finite difference full vectorial mode solver optical waveguides photonic integrated circuits 

分 类 号：TN252[电子电信—物理电子学]