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

被引：81
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.
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页码：243 / 251
页数：9
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