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

doi:10.1088/1674-1056/22/7/074211

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.

Keywords: graded photonic crystals multilayer band gap

Received: 22 August 2012
Revised: 23 November 2013
Accepted manuscript online:

PACS:	42.70.Qs	(Photonic bandgap materials)
	47.65.Cb	(Magnetic fluids and ferrofluids)

Fund: 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).

Corresponding Authors: Fan Chun-Zhen
E-mail: chunzhen@zzu.edu.cn

Cite this article:

Fan Chun-Zhen (范春珍), Wang Jun-Qiao (王俊俏), He Jin-Na (何金娜), Ding Pei (丁佩), Liang Er-Jun (梁二军) Theoretical study on the photonic band gap in one-dimensional photonic crystals with graded multilayer structure 2013 Chin. Phys. B 22 074211

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

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