Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides

被引：48

作者：

Yamauchi, J

Sekiguchi, M

Uchiyama, O

Shibayama, J

Nakano, H

机构：

[1] College of Engineering, Hosei University

来源：

IEEE PHOTONICS TECHNOLOGY LETTERS | 1997年 / 9卷 / 07期

关键词：

finite-difference methods; optical propagation; optical waveguides;

D O I：

10.1109/68.593366

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：

The modified finite-difference formula is presented for the second derivative of a semivectorial field in a step-index optical waveguide, The present formula achieves a truncation error of O(Delta x(2)) provided the discontinuity coincides with a mesh point or lies midway between two mesh points, Furthermore, the formula allows a general position of the interface, when used with the beam-propagation method (BPM), To demonstrate the effectiveness of the formula, asymmetric step-index waveguides are analyzed using the imaginary-distance BPM.

引用

页码：961 / 963

页数：3

共 9 条

[1]

JNGLING S, 1994, IEEE J QUANTUM ELECT, V30, P2098

[2] MODELING OF GRADED-INDEX CHANNEL WAVE-GUIDES USING NONUNIFORM FINITE-DIFFERENCE METHOD [J].