多光束全息干涉法制作复式光子晶体的数值仿真研究

Numerical Simulation on Fabricating Compound Photonic Crystals by Multi-Beam Holographic Interferometry

光子晶体是由介电材料周期排列构成的人工微结构,在集成光电子学、微纳光子学等领域具有广阔的应用前景。本文对多光束全息干涉法制作复式光子晶体进行了理论和数值研究,根据多光束干涉原理给出了一种复式光子晶体的光束配置,并编写了MATLAB仿真程序,仿真结果与理论预测符合得很好。在此基础上,研究了单束、两束、三束以及四束光的不同偏振组合对复式光子晶体元胞的影响规律。研究结果表明,光束偏振组合对元胞的影响十分显著,在不同的偏振组合条件下可以获得双水滴状、双圆形等各种元胞形状;当所有光束同为线偏振时,复式光子晶体具有最佳的对比度。此外,本文还探讨了入射光初相位的变化对复式光子晶体元胞的影响。研究结果对于设计具有各种元胞形状的复式光子晶体具有指导意义,并可用于物理实验教学。

Photonic crystals,artificial microstructures composed of periodic dielectric materials,have broad application prospects in integrated optoelectronics,nanophotonics,and other fields.In this paper,the fabrication of compound photonic crystals by the multi-beam holographic interferometry is studied theoretically and numerically.According to the multi-beam interference principle,we design a beam configuration of compound photonic crystals and write a program by MATLAB.The simulation results agree well with the theoretical predictions.Furthermore,we symmetrically study the influences of single-beam,two-beam,three-beam,and four-beam polarization combinations on the unit cell of the compound photonic crystals.The results indicate that polarization combinations have a significant influence on the unit cell,and various unit-cell shapes such as double-drop and double-circle shapes can be easily obtained at different polarization combinations.The optimal contrast is achieved when all beams are linear polarization.Additionally,the influence of the initial phase of the incident light on the unit cell is discussed.The above research guides the design and fabrication of compound photonic crystals with various unit-cell shapes and can be used in the physics experiment teaching.