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利用传输矩阵法计算了正负折射率交替一维光子晶体的带隙特性。结果表明这种光子晶体具有宽而平坦的禁带,窄而尖锐的通带。这种带隙特性是受到布拉格散射、法布里-珀罗谐振和n-=0禁带共同影响的结果,通带位置决定于法布里-珀罗谐振。在理论分析基础上设计出密集波分复用用窄带梳状滤波器,给出信道间隔为0.8nm的梳状滤波器的仿真结果。仿真结果表明这种梳状滤波器具有信道间隔窄、禁带平坦、通带极窄的特点。信道间隔可以通过改变一维光子晶体单元周期光学厚度调节。
The transfer matrix method was used to calculate the bandgap characteristics of one-dimensional photonic crystals with alternating positive and negative refractive indices. The results show that this photonic crystal has a broad and flat band gap, a narrow and sharp pass band. This bandgap characteristic is the result of a combination of Bragg scattering, Fabry-Perot resonances, and n = 0 forbidden bands, the passband position being determined by the Fabry-Perot resonance. Based on the theoretical analysis, a narrowband comb filter for DWDM is designed and the simulation result of a comb filter with a channel spacing of 0.8nm is given. Simulation results show that this comb filter has the characteristics of narrow channel spacing, smooth band gap and extremely narrow passband. The channel spacing can be adjusted by changing the periodic optical thickness of a one-dimensional photonic crystal unit.