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Optical properties of high-order band gaps in one-dimensional photonic crystal
Authors:Xiaodong Lu  Feng Chi  Tao Zhou  Shuxian Lun
Affiliation:1. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong, PR China;2. City University of Hong Kong Shenzhen Research Institute, Shenzhen 518057, PR China;3. Mechanical Engineering Department, Texas A&M University, College Station, TX 77843-3123, USA;1. College of Environmental Science and Engineering, Qingdao University, Qingdao, 266071, China;2. Marine Ecology Research Center, First Institute of Oceanography, Ministry of Natural Resources, 266061, Qingdao, China;3. Qilu University of Technology (Shandong Academy of Sciences), Shandong Analysis and Test Center, Jinan, 250014, China;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;3. Department of Mechanics, Shanghai University, Shanghai 200444, China;1. College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, PR China;2. Naval Research Academy, Beijing 100161, PR China
Abstract:Plane wave expansion method and transfer matrix method have been used to study the optical properties of eighty ninth photonic band gaps (PBGs) in one dimensional photonic crystal (1DPCs) with a form of Si (air|Si)8. The results show that high order PBGs (HR-PBGs) in normalize dispersion curves have slower convergence speed than low order PBGs (LR-PBGs) and appear periodic detergency phenomena with the increasing of Λ/λ values (where Λ is the constant of one dimensional lattice and λ is wavelength) and their band widths and central wavelengths are more sensitive to fabrication errors than that of LR-PBG. Finally, some special forms of Si (air|Si)8 structure with input and output rib waveguides are fabricated on Silicon-on-Insulator (SOI) materials by semiconductor micromachining technology. By measuring and analyzing their insertion loss spectra, we demonstrate that the HR-PBGs of 1DPCs also have the potential application in integration optics.
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