An efficient method for band structure calculations in 3D photonic crystals

被引:65
作者
Dobson, DC [1 ]
Gopalakrishnan, J
Pasciak, JE
机构
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
[2] Univ Minnesota, Inst Math & Applicat, Minneapolis, MN 55455 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/jcph.2000.6521
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A method for computing band structures for three-dimensional photonic crystals is described. The method combines a mixed finite element discretization on a uniform grid with a fast Fourier transform pnconditioner and a preconditioned subspace iteration algorithm. Numerical examples illustrating the behavior of the method are presented. (C) 2000 Academic Press.
引用
收藏
页码:668 / 679
页数:12
相关论文
共 24 条
[11]  
Gottlieb D., 1977, NUMERICAL ANAL SPECT
[12]   PHOTONIC BAND-GAPS IN 3-DIMENSIONS - NEW LAYER-BY-LAYER PERIODIC STRUCTURES [J].
HO, KM ;
CHAN, CT ;
SOUKOULIS, CM ;
BISWAS, R ;
SIGALAS, M .
SOLID STATE COMMUNICATIONS, 1994, 89 (05) :413-416
[13]  
Joannopoulos J. D., 1995, PHOTONIC CRYSTALS MO
[14]  
KNYAZEV AV, 143 U COL DENV CTR C
[15]  
Ladyzhenskaya O. A., 1969, MATH THEORY VISCOUS
[16]   A three-dimensional photonic crystal operating at infrared wavelengths [J].
Lin, SY ;
Fleming, JG ;
Hetherington, DL ;
Smith, BK ;
Biswas, R ;
Ho, KM ;
Sigalas, MM ;
Zubrzycki, W ;
Kurtz, SR ;
Bur, J .
NATURE, 1998, 394 (6690) :251-253
[17]   MIXED FINITE-ELEMENTS IN IR3 [J].
NEDELEC, JC .
NUMERISCHE MATHEMATIK, 1980, 35 (03) :315-341
[18]   A NEW FAMILY OF MIXED FINITE-ELEMENTS IN R3 [J].
NEDELEC, JC .
NUMERISCHE MATHEMATIK, 1986, 50 (01) :57-81
[19]   CALCULATION OF PHOTON DISPERSION-RELATIONS [J].
PENDRY, JB ;
MACKINNON, A .
PHYSICAL REVIEW LETTERS, 1992, 69 (19) :2772-2775
[20]  
Quarteroni A., 1991, NUMERICAL APPROXIMAT