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中文摘要：
结合光子晶体带隙图和等频率线图分析了二维光子晶体中出现负折射现象的条件，得出了负折射现象出现的频率范围．采用有限时域差分法模拟了光在光子晶体界面和内部的传输行为，验证了以上理论所给出的负折射出现的频段，观察到了明显的负折射现象．比较了不同介质、不同晶格结构光子晶体中不同频率的负折射行为．提出一种新结构的六角型二维三角晶格光子晶体分光镜的模型．
英文摘要：
The negative refraction phenomenon in two-dimension （2D） photonic crystals （PCs） is investigated with the band structure calculation and equal frequency surface （EFS） of PCs. The frequency range of negative refraction phenomenon is analyzed. The finite-difference time domain method（FDTD） is used to simulate the propagation of light at the interface and inside of the photonic crystals. It is shows that the negative refraction phenomenon in two-dimension photonic crystals is real observed in the specifical frequency range. The negative refraction phenomenon in the different medium materials and different crystal lattice structures in different frequencies is compared. A new spectroscope of hexagonal 2D triangular array photonic crystal is designed.
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