The Optical Transmission Characteristic of Hollow Carbon-Coated <named-content content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="LaTeX">$\hbox{Fe}_{3}\hbox{O}_{4}$</tex-math></inline-formula></named-content> Colloidal Photonic Crystal

Abstract

The optical transmission characteristics for the hollow carbon-coated Fe3O4 colloidal photonic crystal have been calculated with the finite-difference time-domain (FDTD) method. We analyze the influence of the factors on the photonic band gap (PBG) that include lattice constant a, the number of the particles in propagating direction Ny, the thickness of carbon layer Hc and Fe3O4 cluster layer Hf, and the thickness ratio of the two layers. The results show that the PBGs red shift and the bandwidth first increases and then decreases with the increasing a. In the situation of increasing Ny, the PBG changes from irregular to uniform, followed by the oscillations on both sides of the PBG growing in number and the deepened PBG in the low-frequency region. The PBGs move toward the low frequency direction with the increase of Hc, and the optimal value of Hc for the uniform color response is 10 nm ~25 nm. The PBGs red shift with the increasing Hf, and the first bandwidth increases while the second decreases. The optimal Hf for the ideal PBG is 35 nm ~55 nm. The stop bands move to the high-frequency direction with the increasing thickness ratio (Hc : Hf), and the best ratio is 10 nm : 55 nm for the complete PBG and wider bandwidth.

Keywords

• photonic crystal
• transmission characteristic
• PBG
• FDTD
• carbon-coated Fe3O4
• hollow structure