中国物理B ›› 2013, Vol. 22 ›› Issue (7): 74211-074211.doi: 10.1088/1674-1056/22/7/074211

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Theoretical study on the photonic band gap in one-dimensional photonic crystals with graded multilayer structure

范春珍a b, 王俊俏a, 何金娜a, 丁佩c, 梁二军a   

  1. a School of Physical Science and Engineering, and Key Laboratory of Materials Physics of Ministry of Education of China, Zhengzhou University, Zhengzhou 450052, China;
    b State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China;
    c Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China
  • 收稿日期:2012-08-22 修回日期:2013-11-23 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10974183 and 11104252), the Ministry of Education of China (Grant No. 20114101110003), the Fund for Science and Technology Innovation Team of Zhengzhou (2011-03), the Aeronautical Science Foundation of China (Grant No. 2011ZF55015), the Basic and Frontier Technology Research Program of Henan Province, China (Grant Nos. 112300410264 and 122300410162), the Cooperation Fund with Fudan University, China (Grant No. KL2011-01), and the Chinese National Key Basic Research Special Fund (Grant No. 2011CB922004).

Theoretical study on the photonic band gap in one-dimensional photonic crystals with graded multilayer structure

Fan Chun-Zhen (范春珍)a b, Wang Jun-Qiao (王俊俏)a, He Jin-Na (何金娜)a, Ding Pei (丁佩)c, Liang Er-Jun (梁二军)a   

  1. a School of Physical Science and Engineering, and Key Laboratory of Materials Physics of Ministry of Education of China, Zhengzhou University, Zhengzhou 450052, China;
    b State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China;
    c Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015, China
  • Received:2012-08-22 Revised:2013-11-23 Online:2013-06-01 Published:2013-06-01
  • Contact: Fan Chun-Zhen E-mail:chunzhen@zzu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10974183 and 11104252), the Ministry of Education of China (Grant No. 20114101110003), the Fund for Science and Technology Innovation Team of Zhengzhou (2011-03), the Aeronautical Science Foundation of China (Grant No. 2011ZF55015), the Basic and Frontier Technology Research Program of Henan Province, China (Grant Nos. 112300410264 and 122300410162), the Cooperation Fund with Fudan University, China (Grant No. KL2011-01), and the Chinese National Key Basic Research Special Fund (Grant No. 2011CB922004).

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摘要： We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure is constituted of the alternating composite layer (metallic nanoparticles embedded in TiO2 film) and the air layer. Regarding the multilayer as a series of capacitance, effective optical properties are derived. The dispersion relation is obtained with the solution of the transfer matrix equation. With a graded structure in the composite layer, numerical results show that the position and width of the photonic band gap can be effectively modulated by varying the number of the graded composite layers, the volume fraction of nanoparticles and the external stimuli.

关键词: graded photonic crystals, multilayer, band gap

Abstract: We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure is constituted of the alternating composite layer (metallic nanoparticles embedded in TiO2 film) and the air layer. Regarding the multilayer as a series of capacitance, effective optical properties are derived. The dispersion relation is obtained with the solution of the transfer matrix equation. With a graded structure in the composite layer, numerical results show that the position and width of the photonic band gap can be effectively modulated by varying the number of the graded composite layers, the volume fraction of nanoparticles and the external stimuli.

Key words: graded photonic crystals, multilayer, band gap

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
47.65.Cb (Magnetic fluids and ferrofluids)