为了研究含缺陷层为增益介质的三元1维光子晶体的光学特性，采用光学传输矩阵的方法进行了理论分析。结果表明，增益缺陷层厚度及光学常数的变化对于红外区的禁带结构影响不大，增益介质层主要对中心波长为1.8μm所处的透射带带边波长的放大效应特别明显。还研究了增益介质缺陷层的厚度、光学常数的变化对于红外区透射带边(2.1869μm)波长的光放大效应；当增益介质厚度为0.0101μm，n= 5.03+0.124i时，可以获得在波长2.1869μm 处透射系数为428的光放大。在红外区，光放大波长随着中心波长的变化而变化，但该波长都是在中心波长所处透射带的带边处。该结果可为以光子晶体作为激光增益介质的研究提供理论指导。

In order to study the optical characteristics of ternary layer 1-D photonic crystal with defect as gain medium, they were analyzed based on the optical transfer matrix. The thickness of gain defect layer and the optical constant change have little effect on the prohibited-band structure in the infrared region, and that the gain medium layer mainly affects the band-edge amplification effect of the transmission band at central wavelength of 1.8μm. The effect of the thickness of gain medium layer, optical constant change on the amplification effect at infrared transmission band edge (2.1969μm) wavelength was also studied. When the gain medium is 0.0101μm thick, n=5.03+0.124i, the transmission coefficient at the wavelength 2.1869μm is up to 428 optical amplification. In the infrared band, optical amplification changes with the central wavelength, but the central wavelength is always at the edges of the wavelength band where the central wavelength is located. The results provide theoretical guidance for the photonic crystal as a laser gain medium.