Title :
Semivector Finite-Difference Formula for the Analysis of a Step-Index Waveguide With a Tilted Interface
Author :
Yamauchi, Junji ; Harada, Seiji ; Kobori, Shingo ; Nakano, Hisamatsu
Author_Institution :
Fac. of Eng., Hosei Univ., Koganei, Japan
Abstract :
A three-point finite-difference formula is derived for the analysis of a step-index waveguide with a tilted interface. The formula is suitable for the use of the alternating-direction implicit method. Through the analysis of a rib waveguide with a sloped side wall and a hollow triangular waveguide, improvement in accuracy and stability is demonstrated.
Keywords :
finite difference methods; optical waveguides; rib waveguides; alternating direction implicit method; hollow triangular waveguide; rib waveguide; semivector finite difference formula; step index waveguide; tilted interface; Alternating-direction implicit method (ADIM); beam-propagation method (BPM); finite-difference (FD) formula;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2009.2034751