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基于平面波展开法,理论分析了晶格结构、填充率、介电常数比等因素对fcc,diamond,woodpile三种三维光子晶体典型结构完全禁带的影响.三种结构中,fcc结构由于高对称性导致的能级简并,只适用于密堆积排列的反蛋白石结构;diamond结构非常容易产生高带隙率的完全禁带,并且可以通过调节多项参数得到所需的完全禁带;woodpile结构参数调节范围比较宽,为实验制备带来方便.对于不同的三维光子晶体结构,随着介电常数比的增大,完全禁带的宽度和带隙率也会随着增大.还发现了一些以前未引起注意的现象.
Based on the plane wave expansion method, the effects of lattice structure, filling rate and dielectric constant ratio on the complete forbidden band of three typical three-dimensional photonic crystals such as fcc, diamond and woodpile were analyzed theoretically. In the three structures, The energy-level degeneracy caused by the properties is only applicable to the closely packed anti-opal structure; the diamond structure is very easy to produce a complete band gap with high bandgap, and the desired complete bandgap can be obtained by adjusting a number of parameters; the woodpile structure The parameter adjustment range is wide, which is convenient for the experiment preparation.For different three-dimensional photonic crystal structure, the width of the complete forbidden band and the bandgap will also increase with the increase of the dielectric constant ratio Something that was not previously noticeable.