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本文研究了硅柱在MnFe_2O_4磁性液体背景中排列成六边形结构的二维光子晶体的可调谐负折射特性.利用平面波展开法和时域有限差分法理论研究了硅柱-磁性液体体系二维光子晶体的带隙结构、等频曲线和负折射现象随外磁场强度的变化关系.模拟结果表明,硅柱-磁性液体体系二维光子晶体工作在TE模式时,其负折射特性可由外磁场调节.在固定背景溶液的磁性颗粒体积分数和入射光频率时,所研究的折射光束的偏转角和光子晶体的负折射率绝对值随外磁场的增大而增大,而在固定背景溶液的磁性颗粒体积分数和外磁场强度时,负折射角和负折射率的绝对值随入射光归一化频率增大而减小.固定外场强度和入射光频率时,所研究结构的负折射特性随背景溶液的磁性颗粒体积分数增大而变弱.
In this paper, the tunable negative refraction properties of a two-dimensional photonic crystal with hexagonal silicon arranged in the magnetic liquid of MnFe 2 O 4 are investigated.The planar wave expansion method and finite difference time-domain theory are used to study the two-dimensional The bandgap structure, the equi-frequency curve and the negative refraction of the photonic crystal are related to the changes of the external magnetic field intensity. The simulation results show that the negative refractive properties of the two-dimensional photonic crystal can be controlled by the external magnetic field When the magnetic particle volume fraction and the incident light frequency of the background solution were fixed, the deflection angle of the refracted beam and the absolute value of the negative refractive index of the photonic crystal increased with the increase of the external magnetic field. However, Particle volume fraction and external magnetic field strength, the absolute value of negative refraction angle and negative refraction index decrease with the normalized incident light frequency.When fixed external field intensity and incident light frequency, the negative refraction properties of the studied structures vary with the background The magnetic particle volume fraction of the solution increases and becomes weaker.