为实现多通道光滤波功能，设计对称嵌套式一维光子晶体量子阱(BAB)_k (AB)_m (BAB)_n (BA)_m (BAB)_k ，采用传输矩阵法计算透射谱，分析了阱的周期数及折射率对透射峰的影响。结果表明，量子阱主禁带内出现三组透射峰，由于外阱(AB)_m 和(BA)_m 之间的相互耦合，使第2 组和第3 组透射峰具有双线结构，透射峰的数目、位置及双线之间的间隔受阱的周期数和折射率调控。禁带内总计有2m+n+3(m 取奇数)或2m+n+1(m 取偶数)条窄透射峰。无论是内阱还是外阱的周期数增大，双线间距都会减小，且透射峰都向中心频率靠近。随着高折射率介质的折射率增大，双线间距减小，透射峰远离中心频率；随着低折射率介质的折射率增大，双线间距增大，双线透射峰向中心频率靠近。这些特性对多通道光滤波器的设计具有一定的指导意义。

In order to achieve the function of multi-channel photonic filtering, the symmetric nested photonic crystals quantum well (BAB)_k (AB)_m (BAB)_n (BA)_m (BAB)_k is designed. The transmission spectra of photonic quantum well are calculated based on transmission matrix method. The effect of periods number of the well photonic crystals and refractive index on transmission spectral peak is analyzed. The results show that three groups of transmission peaks appear in the main forbidden band of photonic quantum well. Due to the coupling between the outer wells (AB)_m and (BA)_m , the second and the third groups of transmission peaks have dual-line structures. The numbers, location of transmission peaks and internal between the dual- line structures are related to the periods number of the well photonic crystals and refractive index. In the main forbidden band，there are 2m+n+3 (with odd number m) or 2m+ n+1 (with even number m) narrow transmission peaks. With the increasing of the periods number of the inner or outer wells, the frequency interval of the double lines becomes narrower, and the dual transmission peaks move closer to the center frequency. With the increasing of refractive index of high- refractive medium, the frequency internal between the double lines narrows down and the dual transmission peaks move away from center frequency. However, when the refractive index of low refractive index medium is increased, the frequency internal between the double lines will be broadened and the dual transmission peaks move closer to the center frequency. The results have a certain reference value for design of multi-channel photonic filter.