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利用MPB软件和MEEP软件对一维光子晶体带隙结构及透射谱进行了仿真与实验研究。讨论了不同介质填充比和介质相对介电常数对光子晶体带隙结构的影响。仿真结果表明,当高相对介电常数介质的填充比增大时,或高相对介电常数增大时,光子晶体带隙的中心频率缓慢减小,带隙宽度呈先增大后减小的趋势,存在一极大值点。采用高相对介电常数介质薄板[钛酸钡(BaTiO_3)粉末混合聚二甲基硅氧烷(PDMS)胶体]和泡沫薄板周期性排列组成一维光子晶体。实验上制得了高低介质相对介电常数分别为4.5和1,填充比为1:1,晶格常数为10 mm,周期数为5的光子晶体,并测量出该光子晶体的微波透射谱。测量结果表明,在8～12 GHz的微波频段,该光子晶体的带隙中心频率为9.3 GHz,带隙宽度为500 MHz。
The MPG software and MEEP software were used to simulate and experimentally study the band gap structure and transmission spectrum of one-dimensional photonic crystal. The effect of different dielectric filling ratio and dielectric relative permittivity on the band gap structure of photonic crystal was discussed. The simulation results show that when the filling ratio of high relative permittivity medium increases or the high relative permittivity increases, the center frequency of photonic crystal band gap decreases slowly and the band gap width first increases and then decreases Trend, there is a maximum point. One-dimensional photonic crystals were fabricated by periodically arranging a barium titanate (BaTiO 3) powder mixed PDMS colloid with a high relative dielectric constant dielectric thin plate. The photonic crystals with relative permittivity of 4.5 and 1, packing ratio of 1: 1, lattice constant of 10 mm and period of 5 were experimentally obtained, and the microwave transmission spectrum of the photonic crystal was measured. The measurement results show that the bandgap center frequency of this photonic crystal is 9.3 GHz and the bandgap width is 500 MHz in the 8-12 GHz microwave band.