SIMPLIFIED COUPLED-WAVE EQUATIONS FOR CYLINDRICAL WAVES IN CIRCULAR GRATING PLANAR WAVE-GUIDES

被引:24
作者
WU, CM [1 ]
MAKINO, T [1 ]
MACIEJKO, R [1 ]
NAJAFI, SI [1 ]
SVILANS, M [1 ]
机构
[1] ECOLE POLYTECH,DEPT GENIE PHYS,MONTREAL H3C 3A7,QUEBEC,CANADA
关键词
D O I
10.1109/50.184896
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 simplified form of the coupled-wave equations is presented for cylindrical waves in circular grating distributed feedback (DFB) planar waveguides. The coupling coefficients can be expressed as the product of a cylindrical-wave factor and the corresponding coupling coefficient between planar waveguide modes. Under the large radius approximation (betar >> 1), which covers most practical cases, the inter-polarization coupling between TE and TM cylindrical waves approaches zero. The coupled-wave equations can then be reduced to two independent families, one for TE- and the other for TM-cylindrical waves.
引用
收藏
页码:1575 / 1589
页数:15
相关论文
共 19 条
[1]   SPATIAL MODES OF A CONCENTRIC-CIRCLE-GRATING SURFACE-EMITTING, ALGAAS/GAAS QUANTUM-WELL SEMICONDUCTOR-LASER [J].
ERDOGAN, T ;
KING, O ;
WICKS, GW ;
HALL, DG ;
DENNIS, CL ;
ROOKS, MJ .
APPLIED PHYSICS LETTERS, 1992, 60 (15) :1773-1775
[2]   CIRCULARLY SYMMETRICAL DISTRIBUTED FEEDBACK SEMICONDUCTOR-LASER - AN ANALYSIS [J].
ERDOGAN, T ;
HALL, DG .
JOURNAL OF APPLIED PHYSICS, 1990, 68 (04) :1435-1444
[3]   A COMMENT ON THE COUPLED-MODE EQUATIONS USED IN GUIDED-WAVE OPTICS [J].
HALL, DG .
OPTICS COMMUNICATIONS, 1991, 82 (5-6) :453-455
[4]   COUPLED-MODE THEORY [J].
HAUS, HA ;
HUANG, WP .
PROCEEDINGS OF THE IEEE, 1991, 79 (10) :1505-1518
[5]   COUPLED-WAVE THEORY OF DISTRIBUTED FEEDBACK LASERS [J].
KOGELNIK, H ;
SHANK, CV .
JOURNAL OF APPLIED PHYSICS, 1972, 43 (05) :2327-+
[6]  
KOGELNIK H, 1982, INTEGRATED OPTICS
[7]  
Marcuse D., 1974, THEORY DIELECTRIC OP
[8]  
Morse P., 1953, METHODS THEORETICAL
[9]   COUPLING COEFFICIENTS FOR DISTRIBUTED FEEDBACK SINGLE-HETEROSTRUCTURE AND DOUBLE-HETEROSTRUCTURE DIODE LASERS [J].
STREIFER, W ;
SCIFRES, DR ;
BURNHAM, RD .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1975, 11 (11) :867-873
[10]   TM-MODE COUPLING COEFFICIENTS IN GUIDED-WAVE DISTRIBUTED FEEDBACK LASERS [J].
STREIFER, W ;
SCIFRES, DR ;
BURNHAM, RD .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1976, 12 (02) :74-78