作为一维光子晶体的应用基础,一维光子晶体的禁带是研究的重点。通过传输矩阵的方法分析了一维光子晶体禁带的特性,讨论了影响带宽的因素。说明了相对带宽对光子晶体设计的重要性。在这个基础上讨论了扩展一维光子晶体带宽的方法,提出了在角域范围内对光子晶体进行叠加的方法,为设计制造一维光子晶体提供了一种行之有效的方法。分别对2个、3个和4个晶体的叠加进行了分析,最后计算了所设计的合成晶体的反射率。其中4个晶体的叠加,相对带宽达到57.52%,极大地展宽了一维光子晶体的禁带,从而证明利用角域的叠加来展宽一维光子晶体的禁带是非常有效的。

As the basis of application of one-dimensional photonic crystals, the investigation of photonic band gap is very important. The properties of one-dimensional photonic crystal′s band gap and the factors affecting it are investigated through transfer matrix method. The importance of relative bandwidth to the design of photonic crystal is described. Based on these discussions, the methods used to extend the band gap of 1-D photonic crystal are discussed. A new method, using some 1-D photonic crystals to extend the band gap at angle space, is proposed. By using this method, some structures composed of 2, 3 or 4 1-D photonic crystals are designed. At the end, the reflection of two structures at optical frequencies are calculated. The relative band width of hybrid structure consisted of four 1-D photonic crystals is up to 57.52%, which strongly indicates that the extension of relative band width of 1-D photonic crystals based on incident angle domain is very effective.