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研究了一维阶梯型函数光子晶体,给出色散关系和透射率的表达式,并与常规光子晶体比较,发现在常规光子晶体中加入缺陷层后,出现明显的缺陷模。而在阶梯型函数光子晶体中加入缺陷层后,缺陷模个数少且强度弱。进一步研究了带缺陷和不带缺陷的阶梯型函数光子晶体的光场分布。发现有缺陷层时,光场强度分布得到增强或者减弱,不同于常规光子晶体中的光强只局域增强。函数光子晶体的这些新的特性对光子晶体的设计与应用具有重要的实际意义。
The one-dimensional ladder-type photonic crystal is studied, and the expression of dispersion relation and transmittance is given. Compared with the conventional photonic crystal, it is found that the obvious defect mode appears after adding the defect layer to the conventional photonic crystal. However, after the defect layer is added into the ladder-type photonic crystal, the number of defect modes is small and the intensity is weak. The optical field distribution of the step-type photonic crystals with or without defects is further studied. When a defect layer is found, the light field intensity distribution is enhanced or weakened, unlike the light intensities in conventional photonic crystals that are only locally enhanced. These new features of photonic crystals have important practical implications for the design and application of photonic crystals.