Extension of coupled mode analysis to periodic large arrays of identical waveguides for photonic crystals applications

被引:13
作者
Shteeman, Vladislav R. [1 ]
Boiko, Dmitri L.
Kapon, Eli
Hardy, Amos A.
机构
[1] Tel Aviv Univ, Fac Engn, Dept Elect Engn Phys Elect, IL-69978 Tel Aviv, Israel
[2] Ecole Polytech Fed Lausanne, Lab Phys Nanostruct, CH-1015 Lausanne, Switzerland
关键词
band structure; Bloch function; coupled mode theory; photonic crystal; EQUATIONS; SYSTEMS; GAP;
D O I
10.1109/JQE.2006.890396
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
Coupled-mode theory, developed for several parallel Waveguides, is extended to the case of infinite 2-D photonic crystals. Periodic boundary conditions, applied to a system of coupled identical waveguides, are used to compute the photonic band structures. This approach is shown to be more efficient than the usual numerical methods when tested on finite, but large-sized, arrays. Photonic crystals made of single-mode and multimode waveguide arrays are examined.
引用
收藏
页码:215 / 224
页数:10
相关论文
共 37 条
[1]  
[Anonymous], 1974, OPTICS
[2]   COUPLED-MODE ANALYSIS OF PHASE-LOCKED INJECTION-LASER ARRAYS [J].
BUTLER, JK ;
ACKLEY, DE ;
BOTEZ, D .
APPLIED PHYSICS LETTERS, 1984, 44 (03) :293-295
[3]   Coupled mode theory: A powerful tool for analyzing complex VCSELs and designing advanced device features [J].
Debernardi, P ;
Bava, GP .
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS, 2003, 9 (03) :905-917
[4]   Semiconductor photonic molecules [J].
Forchel, A ;
Bayer, M ;
Reithmaier, JP ;
Reinecke, TL ;
Kulakovskii, VD .
PHYSICA E, 2000, 7 (3-4) :616-624
[5]   COUPLED MODE FORMULATION FOR DIRECTIONAL-COUPLERS WITH LONGITUDINAL PERTURBATION [J].
GRIFFEL, G ;
ITZKOVICH, M ;
HARDY, AA .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1991, 27 (04) :985-994
[6]   Angle dependence of the spontaneous emission from confined optical modes in photonic dots [J].
Gutbrod, T ;
Bayer, M ;
Forchel, A ;
Knipp, PA ;
Reinecke, TL ;
Tartakovskii, A ;
Kulakovskii, VD ;
Gippius, NA ;
Tikhodeev, SG .
PHYSICAL REVIEW B, 1999, 59 (03) :2223-2229
[7]  
HALL DG, 1993, SPIE MILESTONE SERIE, V84, P1135
[8]   COUPLED-MODE EQUATIONS FOR MULTIMODE WAVE-GUIDE SYSTEMS IN ISOTROPIC OR ANISOTROPIC MEDIA [J].
HARDY, A ;
STREIFER, W ;
OSINSKI, M .
OPTICS LETTERS, 1986, 11 (11) :742-744
[9]   COUPLED MODE THEORY OF PARALLEL WAVE-GUIDES [J].
HARDY, A ;
STREIFER, W .
JOURNAL OF LIGHTWAVE TECHNOLOGY, 1985, 3 (05) :1135-1146
[10]   EXACT DERIVATION OF THE COUPLING COEFFICIENT IN CORRUGATED WAVE-GUIDES WITH ARBITRARY CROSS-SECTION - APPLICATION TO OPTICAL FIBERS [J].
HARDY, A .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1995, 31 (03) :505-511