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用多重散射法研究了二维光子晶体的结构参量对光子禁带特性的影响。发现光子晶体的晶格常数 (d)和组成晶体的介质柱的半径 (r)都能同样有效地改变光子禁带的位置 ,仅改变d时 ,填充系数 ρ降低时光子禁带区Ω向低频区移动 ,而仅改变r时 ,ρ增加时Ω向低频区移动。在较宽的参量范围内 ,Ω的中心频率单独随r增加而线性下降的速度是单独随d增加而线性下降的速度的 2倍。ρ取特定值时 ,Ω的相对宽度取极大值 ,其中 1次Ω只有 1个极大值 ,而 2次Ω存在 2个极大值 ,且 2次Ω极大值对应的 2个 ρ值中有一个刚好是 1次Ω极大值对应的ρ值的 2倍。
The influence of structural parameters of two-dimensional photonic crystals on photonic band gap properties was studied by using multiple scattering method. It is found that both the lattice constant (d) of the photonic crystal and the radius (r) of the dielectric column making up the crystal can change the photonic band gap equally effectively. Only when the filling factor ρ is decreased, the photonic band gap Ω decreases to the low frequency Area moves, and only changes r, when ρ increases, Ω moves to the low frequency area. Over a wide range of parameters, the center frequency of Ω increases with r independently and the linearly decreasing rate is twice that of linearly decreasing with increasing d. When ρ takes a specific value, the relative width of Ω takes a maximum value, where there is only one maximum value for the first Ω and two maximum values for the second Ω and two ρ values corresponding to the second largest Ω. There is an exact value corresponding to 1 times the maximum value of ρ 2 times.