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利用传输矩阵法计算模拟了一维光子晶体(ABCBA)_m的透射谱,当介电常数为实数时,光子晶体透射谱出现有规律性的共振透射锋,具有多通道光滤波的特性;当C层介质中掺入增益特性的杂质时,透射峰出现多条合一现象,且当周期数,m为奇数时,出现透射率恒为0.05ω/ω_0的透射衰减现象,当周期数m为偶数时出现高达10~4数量级的透射增益现象,增益的强度与重复周期数m和C层折射率的虚部大小密切相关。这些现象为光子晶体实现单通道光滤波器、多通道光滤波器和光放大器提供理论指导。
Transmission matrix method is used to simulate the transmission spectrum of one-dimensional photonic crystal (ABCBA) _m. When the dielectric constant is real number, there is a regular resonance transmission front in the transmission spectrum of the photonic crystal with multi-channel optical filtering characteristics. When C In the case of impurity with gain characteristic, the transmission peak appears multiple unity phenomena, and when the number of cycles and m are odd numbers, the transmission attenuation phenomenon with the constant transmission rate of 0.05ω / ω_0 occurs. When the number of cycles m is even The transmission gain of up to 10 ~ 4 appears on the order of magnitude. The strength of the gain is closely related to the number of repetitions m and the imaginary part of the refractive index of layer C. These phenomena provide theoretical guidance for photonic crystals to realize single-channel optical filters, multi-channel optical filters and optical amplifiers.