Improved three-point formulas considering the interface conditions in the finite-difference analysis of step-index optical devices

被引：82

作者：

Chiou, YP

Chiang, YC

Chang, HC

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei, Taiwan

[2] Natl Taiwan Univ, Dept Elect Engn, Taipei 10617, Taiwan

[3] Natl Taiwan Univ, Grad Inst Electoopt Engn, Taipei 10617, Taiwan

[4] Natl Taiwan Univ, Grad Inst Commun Engn, Taipei 10617, Taiwan

来源：

JOURNAL OF LIGHTWAVE TECHNOLOGY | 2000年 / 18卷 / 02期

关键词：

finite-difference method; generalized Douglas scheme; step-index optical waveguides;

D O I：

10.1109/50.822799

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 general relation, considering the interface conditions, between a sampled point and its nearby points is derived. Making use of the derived relation and the generalized Douglas scheme, the three-point formulas in the finite-difference modeling of step-index optical devices are extended to fourth order accuracy irrespective of the existence of the step-index interfaces, With numerical analysis and numerical assessment, several frequently used formulas are investigated.

引用

页码：243 / 251

页数：9

共 16 条

[1] ANALYSIS OF Z-INVARIANT AND Z-VARIANT SEMICONDUCTOR RIB WAVE-GUIDES BY EXPLICIT FINITE-DIFFERENCE BEAM PROPAGATION METHOD WITH NONUNIFORM MESH CONFIGURATION [J].