Graded index photonic hole: Analytical and rigorous full wave solution

被引:31
作者
Liu, Shiyang [1 ,2 ,3 ]
Li, Li [2 ,3 ,4 ]
Lin, Zhifang [2 ,3 ,4 ,5 ]
Chen, H. Y. [5 ,6 ]
Zi, Jian [2 ,3 ,4 ]
Chan, C. T. [5 ]
机构
[1] Zhejiang Normal Univ, Inst Informat Opt, Jinhua 321004, Zhejiang, Peoples R China
[2] Fudan Univ, Surface Phys Lab, Shanghai 200433, Peoples R China
[3] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
[4] Fudan Univ, Key Lab Micro & Nano Photon Struct, Minist Educ, Shanghai 200433, Peoples R China
[5] Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Hong Kong, Peoples R China
[6] Soochow Univ, Sch Phys Sci & Technol, Suzhou 215006, Jiangsu, Peoples R China
来源
PHYSICAL REVIEW B | 2010年 / 82卷 / 05期
关键词
METAMATERIALS; CLOAKING; OPTICS;
D O I
10.1103/PhysRevB.82.054204
中图分类号
T [工业技术];
学科分类号
120111 [工业工程];
摘要
We present a rigorous full wave approach to the omnidirectional photonic hole (PH), an optical system inspired by celestial phenomena and characterized by a radially graded refractive index n(r)similar to 1/r(alpha/2). It is analytically demonstrated that light capture is effective for alpha >=alpha(c)=2. Our analyses are corroborated by precise numerical simulations of steady-state and time-evolution behaviors. The simulations indicate that the optical energy entering the PH system can be kept in captivity for a time duration t(d) scaling as t(d)similar to 1/(alpha(c)-alpha) when alpha approaches alpha(c). A crucial difference in the time evolution of fields is shown between the cases with alpha close to and equal to alpha(c).
引用
收藏
页数:8
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