Analysis of Dielectric Photonic-Crystal Problems With MLFMA and Schur-Complement Preconditioners

被引:15
作者
Ergul, Ozgur [1 ]
Malas, Tahir [1 ]
Gurel, Levent [1 ,2 ,3 ]
机构
[1] Bilkent Univ, Dept Elect & Elect Engn, TR-06800 Ankara, Turkey
[2] Bilkent Univ, Computat Elect Res Ctr, TR-06800 Ankara, Turkey
[3] Bilkent Univ, Ctr Elect & Elect Eng, TR-06800 Ankara, Turkey
关键词
Multilevel fast multipole algorithm (MLFMA); photonic crystals (PhCs); Schur-complement preconditioners; surface integral equations (SIEs); FAST MULTIPOLE ALGORITHM; ELECTROMAGNETIC SCATTERING; INTEGRAL-EQUATIONS; TRANSMISSION; FORMULATION; MODES;
D O I
10.1109/JLT.2011.2106196
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];
摘要
We present rigorous solutions of electromagnetics problems involving 3-D dielectric photonic crystals (PhCs). Problems are formulated with recently developed surface integral equations and solved iteratively using the multilevel fast multipole algorithm (MLFMA). For efficient solutions, iterations are accelerated via robust Schur-complement preconditioners. We show that complicated PhC structures can be analyzed with unprecedented efficiency and accuracy by an effective solver based on the combined tangential formulation, MLFMA, and Schur-complement preconditioners.
引用
收藏
页码:888 / 897
页数:10
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