| 光子晶体的透射特性 |
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| 引用本文： | 潘庆,张晓茹,刘晗,杨涪铨,刘继平,孟祥东,吴向尧,郭义庆. 光子晶体的透射特性[J]. 吉林大学学报(理学版), 2020, 58(4): 969-976. DOI: 10.13413/j.cnki.jdxblxb.2019221 |
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| 作者姓名： | 潘庆 张晓茹 刘晗 杨涪铨 刘继平 孟祥东 吴向尧 郭义庆 |
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| 作者单位： | 1. 吉林师范大学 物理学院, 吉林 四平 136000； 2. 中国科学院 高能物理研究所, 北京 100049 |
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| 基金项目： | 科技创新基金;国家自然科学基金 |
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| 摘 要： | 首先, 用光的量子波动理论给出一维光子晶体的量子传输矩阵、 量子色散关系、 量子透射率和反射率; 其次, 通过数值计算分别给出一维光子晶体的量子色散关系、 量子透射率和反射率曲线, 并与经典的色散关系、 透射率和反射率进行比较. 结果表明, 其计算结果一致. 该方法可用于进一步研究光子晶体的量子Zak相、 量子陈数和量子边缘态等量子拓扑性质.
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| 关 键 词： | 光量子波动方程 量子传输矩阵 量子色散关系 量子透射率 量子反射率 |
| 收稿时间： | 2019-06-03 |
Transmission Characteristics of Photonic Crystals |
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| PAN Qing,ZHANG Xiaoru,LIU Han,YANG Fuquan,LIU Jiping,MENG Xiangdong,WU Xiangyao,GUO Yiqing. Transmission Characteristics of Photonic Crystals[J]. Journal of Jilin University: Sci Ed, 2020, 58(4): 969-976. DOI: 10.13413/j.cnki.jdxblxb.2019221 |
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| Authors: | PAN Qing ZHANG Xiaoru LIU Han YANG Fuquan LIU Jiping MENG Xiangdong WU Xiangyao GUO Yiqing |
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| Affiliation: | 1. College of Physics, Jilin Normal University, Siping 136000, Jilin Province, China;2. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
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| Abstract: | Firstly, the quantum transmission matrix, quantum dispersion relation, quantum transmittance and reflectivity of one dimensional photonic crystals were given based on the quantum wave theory of light. Secondly, the curves of quantum dispersion relation, quantum transmissivity and reflectivity of one dimensional photonic crystals were given respectively by numerical calculation, and it was compared with the classical dispersion relation, transmissivity and reflectivity. The results show that the calculation results are consistent. This method can be used to further study the quantum topological properties of photonic crystals, such as quantum Zak phase, quantum Chern number and quantum edge state. |
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| Keywords: | photon quantum wave equation quantum transfer matrix quantum dispersion relation quantum transmissivity quantum reflectivity
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