中文摘要：

利用传输矩阵法，研究单势垒、双重势垒一维光子晶体量子阱滤波器的滤波品质，结果表明，光子晶体量子阱滤波器的滤波品质对垒层介质折射率的响应灵敏：垒层介质折射率越大或垒、阱层介质折射率和的比值越大，单势垒光子晶体量子阱滤波器的滤波品质越高；内垒层介质折射率和，或外垒层介质折射率和与阱层介质折射率和的比值越大，特别是内、外垒层介质折射率和与阱层介质折射率和的比值越大，双重势垒光子晶体量子阱滤波器的滤波品质越高；随着垒、阱层介质折射率和的比值增大，双重势垒光子晶体量子阱滤波器的滤波品质提高的速度比单势垒光子晶体量子阱快。这些特性，对光子晶体量子阱的理论研究和新型高品质量子光学滤波器件的实际设计等，均具有一定的指导意义。

英文摘要：

The qualities of the filters with one-dimensional photonic crystal quantum well of single and double barriers are studied by transmission matrix method. The results show that the quality of experimented filter has a delicate response to the refractive index of barrier layer medium. The larger the refractive index of barrier layer medium, or the larger the ratio between the refractive index sum of barrier layer medium and well layer medium, the higher the quality of the filter with photonic crystal quantum well of single barrier is. The quality of the filter with photonic crystal quantum well of double barrier is higher when the ratio between the refractive index sum of inner barrier medium and well layer medium, or the ratio between the refractive index sum of outer barrier medium and well layer medium, especially the ratio of the summed refractive index of inner and outer barrier mediums to the summed refractive index of well layer medium, become larger. As the ratio between the refractive index sum of barrier layer and well layer is increasing, the quality of filter with photonic crystal quantum well of double barrier improves more quickly than the one of single barrier. These characteristics provide definite reference to theoretical study of photonic crystal quantum well and the practical design of new quantum optical filter of high quality.