中国物理B ›› 2012, Vol. 21 ›› Issue (3): 34202-034202.doi: 10.1088/1674-1056/21/3/034202

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张存喜1,丁秀欢2 3,王瑞1,周运清1,孔令民1   

  • 收稿日期:2011-10-09 修回日期:2011-10-17 出版日期:2012-02-15 发布日期:2012-02-15
  • 通讯作者: 丁秀欢,dingxh@zjou.edu.cn E-mail:dingxh@zjou.edu.cn

Fano resonance and wave transmission through a chain structure with an isolated ring composed of defects

Zhang Cun-Xi(张存喜)a), Ding Xiu-Huan(丁秀欢)b)c)†, Wang Rui(王瑞)a) Zhou Yun-Qing(周运清)a), and Kong Ling-Min(孔令民)a)   

  1. a. Department of Physics, Zhejiang Ocean University, Zhoushan 316000, China;
    b. Department of Mathematics, Zhejiang Ocean University, Zhoushan 316000, China;
    c. Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, China
  • Received:2011-10-09 Revised:2011-10-17 Online:2012-02-15 Published:2012-02-15
  • Contact: Ding Xiu-Huan,dingxh@zjou.edu.cn E-mail:dingxh@zjou.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11147173 and 61106052)he Zhejiang Education Department, China (Grant No. Y201018926 and Y200908466), the Basic Research Foundation of Jilin University, China (Grant No. 93K172011K02), the Basic Research Foundation of Zhejiang Ocean University, the Nature Science Foundation of Zhejiang Province, China (Grant No. 1047172)nd the Open Foundation from Ocean Fishery Science and Technology in the Most Important Subjects of Zhejiang, China (No. 20110105).

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Abstract: We consider a discrete model that describes a linear chain of particles coupled to an isolated ring composed of N defects. This simple system can be regarded as a generalization of the familiar Fano-Anderson model. It can be used to model discrete networks of coupled defect modes in photonic crystals and simple waveguide arrays in two-dimensional lattices. The analytical result of the transmission coefficient is obtained, along with the conditions for perfect reflections and transmissions due to either destructive or constructive interferences. Using a simple example, we further investigate the relationship between the resonant frequencies and the number of defects N, and study how to affect the numbers of perfect reflections and transmissions. In addition, we demonstrate how these resonance transmissions and refections can be tuned by one nonlinear defect of the network that possesses a nonlinear Kerr-like response.

Key words: wave transmission, Fano resonance, defect, bistability

中图分类号:  (Wave propagation, transmission and absorption)

  • 42.25.Bs
42.65.Pc (Optical bistability, multistability, and switching, including local field effects) 42.65.Hw (Phase conjugation; photorefractive and Kerr effects) 41.85.Ja (Particle beam transport)