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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,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 realize the multi-channel optical filtering function, a symmetric nested one-dimensional photonic crystal quantum well (BAB) _k (AB) _m (BAB) _n (BA) _m (BAB) _k is designed and the transmission matrix is used to calculate the transmission spectrum. The number of wells and the effect of refractive index on the transmission peak. The results show that there are three groups of transmission peaks in the main bandgap of the quantum well. Due to the mutual coupling between the outer wells (AB) _m and (BA) _m, the transmission peaks of the second group and the third group have a two- The number, location, and spacing between the two lines are governed by the number of wells and the refractive index of the trap. A total of 2m + n + 3 (m for odd numbers) or 2m + n + 1 (m for even numbers) narrow transmission peaks within the forbidden band. Whether the inner or outer wells increase the number of cycles, the two-wire pitch will be reduced, and the transmission peak to the center frequency. With the increase of refractive index of high refractive index medium, the spacing between two wires decreases and the transmission peak is far away from the center frequency. As the refractive index of low refractive index medium increases, the spacing between two wires increases and the transmission peak of double wires approaches the center frequency . These characteristics of multi-channel optical filter design has a certain significance.