Analysis and engineering of coupled cavity waveguides based on coupled-mode theory
Lin Xu-Sheng (林旭升)a, Chen Xiong-Wen (陈雄文)a, Lan Sheng (兰胜)b
a Department of Physics, Shantou University, Shantou 515063, China; b School for Information and Optoelectronic Science and Engineering, South China Normal University,Guangzhou 510631, China
Abstract The analytical expression for the transmission spectra of coupled cavity waveguides (CCWs) in photonic crystals (PCs) is derived based on the coupled-mode theory (CMT). Parameters in the analytical expression can be extracted by simple numerical simulations. We reveal that it is the phase shift between the two adjacent PC defects that uniquely determines the flatness of the impurity bands of CCWs. In addition, it is found that the phase shift also greatly affects the bandwidth of CCWs. Thus, the engineering of the impurity bands of CCWs can be realized through the adjustment of the phase shift. Based on the theoretical results, an interesting phenomenon in which a CCW acts as a single PC defect and its impurity band possesses a Lorentz lineshape is predicted. Very good agreement between the analytical results and the numerical simulations based on transfer matrix method has been achieved.
Received: 20 April 2005
Revised: 08 June 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10374065), the Natural Science Foundation of Guangdong Province of China (Grant No 32050), the Ministry of Education of China (Grant No 204107), and the Department of Educatio
Cite this article:
Lin Xu-Sheng (林旭升), Chen Xiong-Wen (陈雄文), Lan Sheng (兰胜) Analysis and engineering of coupled cavity waveguides based on coupled-mode theory 2005 Chinese Physics 14 2033
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