3-D full-vectorial analysis of strong optical waveguide discontinuities using Pade approximants

被引:16
作者
Jamid, Husain A. [1 ]
Khan, Md. Zahed M.
机构
[1] King Fahd Univ Petr & Minerals, Dept Elect Engn, Dhahran 31261, Saudi Arabia
[2] King Fahd Univ Petr & Minerals, Hafr Al Batin Community Coll, Elect & Elect Engn Technol Dept, Hafar al Batin 31991, Saudi Arabia
关键词
full-vectorial methods; Pade approximants; preconditioner; 3-D waveguides; waveguide facet; waveguide discontinuities;
D O I
10.1109/JQE.2007.893007
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A full-vectorial 3-D numerical method applicable to high-index contrast optical waveguide discontinuities is presented. Rigorous treatment of the longitudinal boundary condition is incorporated in the, formulation. The square root of the characteristic matrix is approximated using Pade approximants which results in an efficient implementation. The biconjugate gradient stabilized method is utilized to iteratively calculate the reflected and transmitted fields. A preconditioner is proposed which results in reduced number of iterations. The proposed method is applied to various optical waveguide facets exhibiting strong transverse and longitudinal refractive index discontinuities. In all cases, the modal reflectivities of the fundamental TE-Like and TM-Like modes are calculated for both the full-vectorial and the semi-vectorial formulations. Significant difference in the calculated modal reflectivity is seen between the full and semi-vectorial models. The error in the power balance remains low in the full-vectorial case irrespective of the waveguide dimensions. However, in the semi-vectorial case, the error in the power balance is found to increase when the waveguide width is reduced.
引用
收藏
页码:343 / 349
页数:7
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