All-frequency effective medium theory of a photonic crystal

被引:56
作者
Boedecker, G [1 ]
Henkel, C [1 ]
机构
[1] Univ Potsdam, Inst Phys, D-14469 Potsdam, Germany
来源
OPTICS EXPRESS | 2003年 / 11卷 / 13期
关键词
D O I
10.1364/OE.11.001590
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider light propagation in a finite photonic crystal. The transmission and reflection from a one-dimensional system are described in an effective medium theory, which reproduces exactly the results of transfer matrix calculations. We derive simple formulas for the reflection from a semi-infinite crystal, the local density of states in absorbing crystals, and discuss defect modes and negative refraction. (C) 2003 Optical Society of America.
引用
收藏
页码:1590 / 1595
页数:6
相关论文
共 12 条
[1]   Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures [J].
Bendickson, JM ;
Dowling, JP ;
Scalora, M .
PHYSICAL REVIEW E, 1996, 53 (04) :4107-4121
[2]  
Born M., 1999, PRINCIPLES OPTICS
[3]   Refraction in media with a negative refractive index [J].
Foteinopoulou, S ;
Economou, EN ;
Soukoulis, CM .
PHYSICAL REVIEW LETTERS, 2003, 90 (10) :4
[4]   Effective optical properties associated with wave propagation in photonic crystals of finite length along the propagation direction [J].
Jeong, DY ;
Ye, YH ;
Zhang, QM .
JOURNAL OF APPLIED PHYSICS, 2002, 92 (08) :4194-4200
[5]   Fundamental quantum optics in structured reservoirs [J].
Lambropoulos, P ;
Nikolopoulos, GM ;
Nielsen, TR ;
Bay, S .
REPORTS ON PROGRESS IN PHYSICS, 2000, 63 (04) :455-503
[6]  
Merzbacher E., 1998, Quantum Mechanics
[7]   Minima and maxima of the local density of states for one-dimensional periodic systems [J].
Moroz, A .
EUROPHYSICS LETTERS, 1999, 46 (04) :419-424
[8]   PHOTONIC BAND STRUCTURES [J].
PENDRY, JB .
JOURNAL OF MODERN OPTICS, 1994, 41 (02) :209-229
[9]   Low-threshold laser oscillation due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals [J].
Sakoda, K ;
Ohtaka, K ;
Ueta, T .
OPTICS EXPRESS, 1999, 4 (12) :481-489
[10]   SCATTERING BY A FINITE PERIODIC POTENTIAL [J].
SPRUNG, DWL ;
WU, H ;
MARTORELL, J .
AMERICAN JOURNAL OF PHYSICS, 1993, 61 (12) :1118-1124