| Analysis and engineering of coupled cavity waveguides based on coupled-mode theory |
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| 作者姓名： | 林旭升 陈雄文 兰胜 |
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| 作者单位： | Department of Physics, Shantou University, Shantou 515063, China;Department of Physics, Shantou University, Shantou 515063, China;School for Information and Optoelectronic Science and Engineering,
South China Normal University,Guangzhou 510631, China |
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| 基金项目： | 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 Education of Guangdong Province of China (Grant No Z03033). |
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| 摘 要： | 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.
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| 关 键 词： | 空穴波导 光子晶体 连接模式 相位转换 解析表达 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 6/8/2005 12:00:00 AM |
Analysis and engineering of coupled cavity waveguides based on coupled-mode theory |
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| Lin Xu-Sheng,Chen Xiong-Wen and Lan Sheng.Analysis and engineering of coupled cavity waveguides based on coupled-mode theory[J].Chinese Physics B,2005,14(10):2033-2040. |
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| Authors: | Lin Xu-Sheng Chen Xiong-Wen and Lan Sheng |
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| Institution: | Department of Physics, Shantou University, Shantou 515063, China; School for Information and Optoelectronic Science and Engineering,
South China Normal University,Guangzhou 510631, China |
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| 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. |
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| Keywords: | photonic crystals coupled cavity waveguides coupled-mode theory phase shift |
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