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针对二维光子晶体在光束调整和光束偏转中的应用,采用平面波展开法、二维有限时域差分法和完全匹配层吸收边界条件,从理论上研究了二维方形光子晶体结构中TM模式的自准直现象。通过分析光子晶体的能带结构和等频图,基于二维光子晶体的自准直效应和光子带隙,对光波在二维光子晶体中的传播特性进行了讨论。数值计算表明,通过在合适的方向引入不同的线缺陷,可以实现自准直光束的1×2和1×3分束以及光束偏转。最后讨论了透射光束和偏转光束的能量随线缺陷半径的变化关系。所设计的器件极大地扩展了光子晶体在高密度光学集成电路中的应用。
Aiming at the application of two-dimensional photonic crystal in beam adjustment and beam deflection, the TM mode in two-dimensional square photonic crystal structure is theoretically studied by the plane wave expansion method, the two-dimensional finite difference time-domain method and the perfectly matched absorption boundary condition Self-collimation phenomenon. The propagation characteristics of light waves in two-dimensional photonic crystals are discussed based on the analysis of the band structure and the iso-frequency diagram of photonic crystals based on the self-collimation and photonic bandgap of two-dimensional photonic crystals. Numerical calculations show that 1 × 2 and 1 × 3 beam splitting and beam deflecting of the self-collimated beam can be achieved by introducing different line defects in the proper direction. Finally, the relationship between the energy of the transmitted beam and the deflected beam with the radius of the line defect is discussed. The designed device greatly expands the application of photonic crystal in high-density optical integrated circuits.