二维正方晶格函数光子晶体带隙结构研究

Research on Band Gap Structures of Two-dimensional Square Lattice Function Photonic Crystals

采用平面波展开法研究二维正方晶格函数光子晶体,分别计算TE波和TM波的带结构。二维正方晶格函数光子晶体介质柱折射率是空间坐标函数,而不是定值(二维正方晶格常规光子晶体)。二维正方晶格函数光子晶体可通过Kerr效应或电光效应来制备,可调节性灵活。本文研究了函数系数k对二维正方晶格函数光子晶体带结构的影响。在TE波情况下,函数系数k增加时,带隙数目变多且带宽变宽。与二维常规光子晶体比较,函数光子晶体有较宽的带隙结构,这将为光学器件的设计提供新的理论依据和重要的设计方法。

Using plane wave expansion,we studied the band gap structures of two-dimensional square lattice function photonic crystals for TE and TM waves.The medium column dielectric constants of two-dimensional tetragonal lattice function photonic crystals are the space coordinates functions rather than a fixed value(two-dimensional tetragonal lattice conventional photonic crystals).The Kerr effect or electro-optic effect is utilized to turn the dielectric constant of medium column into the function of space coordinates,which results in the formation of two-dimensional square lattice function photonic crystals.It is adjustable and flexible.In the paper,we studied the effect of function coefficient k on band gap structures of two-dimensional square lattice function photonic crystals.In the case of TE wave,the number of band gaps increase,and the width of band gaps widen with the increase of function coefficient.Comparing with the two-dimensional square lattice conventional photonic crystals,the two-dimensional square lattice function photonic crystals can get a wide band gap structure.These results provide a new theoretical foundation and an important design method for designing optical devices based on two-dimensional photonic crystals.