Time-domain beam propagation method and its application to photonic crystal circuits

被引:161
作者
Koshiba, M [1 ]
Tsuji, Y [1 ]
Hikari, M [1 ]
机构
[1] Hokkaido Univ, Div Elect & Informat Engn, Sapporo, Hokkaido 0608628, Japan
关键词
finite-element method (FEM); optical waveguide analysis; photonic crystal; time-domain analysis; time-domain beam propagation method (TD-BPM);
D O I
10.1109/50.818913
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 time-domain beam propagation method (BPM) based on the finite-element scheme is described for the analysis of reflections of both transverse electric and transverse magnetic polarized pulses in waveguiding structures containing arbitrarily shaped discontinuities. In order to avoid nonphysical reflections from the computational window edges, the perfectly matched layer boundary condition is introduced. The present algorithm using the Pade approximation is, to our knowledge, the first time-domain beam propagation method which can treat wide-band optical pulses. After validating this method for an optical grating with modulated refrative indexes, various photonic crystal circuit components are simulated.
引用
收藏
页码:102 / 110
页数:9
相关论文
共 17 条
[11]   Finite element beam propagation method for three-dimensional optical waveguide structures [J].
Tsuji, Y ;
Koshiba, M ;
Shiraishi, T .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1997, 15 (09) :1728-1734
[12]   A wide-angle beam propagation method based on a finite element scheme [J].
Tsuji, Y ;
Koshiba, M ;
Tanabe, T .
IEEE TRANSACTIONS ON MAGNETICS, 1997, 33 (02) :1544-1547
[13]  
TSUJI Y, IN PRESS INT J NUMER
[14]   BI-CGSTAB - A FAST AND SMOOTHLY CONVERGING VARIANT OF BI-CG FOR THE SOLUTION OF NONSYMMETRIC LINEAR-SYSTEMS [J].
VANDERVORST, HA .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1992, 13 (02) :631-644
[15]  
YABLONOVITCH E, 1993, J OPT SOC AM B, V10, P293
[16]   Analysis of antireflection coatings using the FD-TD method with the PML absorbing boundary condition [J].
Yamauchi, J ;
Mita, M ;
Aoki, S ;
Nakano, H .
IEEE PHOTONICS TECHNOLOGY LETTERS, 1996, 8 (02) :239-241
[17]  
YEE KS, 1966, IEEE T ANTENN PROPAG, VAP14, P302