Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

被引:40
作者
Miroshnichenko, AE [1 ]
Kivshar, YS
机构
[1] Australian Natl Univ, Nonlinear Phys Ctr, Canberra, ACT 0200, Australia
[2] Australian Natl Univ, Ctr Ultrahigh Bandwidth Devices Opt Syst CUDOS, Res Sch Phys Sci & Engn, Canberra, ACT 0200, Australia
来源
OPTICS EXPRESS | 2005年 / 13卷 / 11期
关键词
D O I
10.1364/OPEX.13.003969
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We demonstrate that high transmission through sharp bends in photonic crystal waveguides can be described by a simple model of the Fano resonance where the waveguide bend plays a role of a specific localized defect. We derive effective discrete equations for two types of the waveguide bends in two- dimensional photonic crystals and obtain exact analytical solutions for the resonant transmission and reflection. This approach allows us to get a deeper insight into the physics of resonant transmission, and it is also useful for the study and design of power- dependent transmission through the waveguide bends with embedded nonlinear defects. (C) 2005 Optical Society of America.
引用
收藏
页码:3969 / 3976
页数:8
相关论文
共 19 条
[1]   Quantitative analysis of bending efficiency in photonic-crystal waveguide bends at λ=1.55 μm wavelengths [J].
Chow, E ;
Lin, SY ;
Wendt, JR ;
Johnson, SG ;
Joannopoulos, JD .
OPTICS LETTERS, 2001, 26 (05) :286-288
[2]   Waveguides and waveguide bends in two-dimensional photonic crystal slabs [J].
Chutinan, A ;
Noda, S .
PHYSICAL REVIEW B, 2000, 62 (07) :4488-4492
[3]   A study of high-index-contrast 90° waveguide bend structures [J].
Espinola, RL ;
Ahmad, RU ;
Pizzuto, F ;
Steel, MJ ;
Osgood, RM .
OPTICS EXPRESS, 2001, 8 (09) :517-528
[4]   EFFECTS OF CONFIGURATION INTERACTION ON INTENSITIES AND PHASE SHIFTS [J].
FANO, U .
PHYSICAL REVIEW, 1961, 124 (06) :1866-&
[5]   Systematic design of photonic crystal structures using topology optimization: Low-loss waveguide bends [J].
Jensen, JS ;
Sigmund, O .
APPLIED PHYSICS LETTERS, 2004, 84 (12) :2022-2024
[6]   Photonic crystals: Putting a new twist on light [J].
Joannopoulos, JD ;
Villeneuve, PR ;
Fan, SH .
NATURE, 1997, 386 (6621) :143-149
[7]   Light propagation through photonic crystal waveguide bends by eigenmode examinations [J].
Li, ZY ;
Ho, KM .
PHYSICAL REVIEW B, 2003, 68 (04)
[8]   Experimental demonstration of guiding and bending of electromagnetic waves in a photonic crystal [J].
Lin, SY ;
Chow, E ;
Hietala, V ;
Villeneuve, PR ;
Joannopoulos, JD .
SCIENCE, 1998, 282 (5387) :274-276
[9]   Tunable resonant light propagation through 90° bend waveguide based on strained photonic crystal [J].
Malkova, N .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2004, 16 (09) :1523-1530
[10]   High transmission through sharp bends in photonic crystal waveguides [J].
Mekis, A ;
Chen, JC ;
Kurland, I ;
Fan, SH ;
Villeneuve, PR ;
Joannopoulos, JD .
PHYSICAL REVIEW LETTERS, 1996, 77 (18) :3787-3790