摘要
We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure constitutes an alternating composite layer （metallic nanoparticles embedded in TiO2 film） and an 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.
We theoretically investigate the photonic band gap in one-dimensional photonic crystals with a graded multilayer structure. The proposed structure constitutes an alternating composite layer （metallic nanoparticles embedded in TiO2 film） and an 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.
基金
the National Natural Science Foundation of China(Grant Nos.10974183 and 11104252)
the Specialized Research Fund for the Doctoral Program of Higher 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)
the National Basic Research Program of China(Grant No.2011CB922004)
