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利用传输矩阵法理论,研究了激活杂质材料对镜像对称结构一维光子晶体(ABCB)m(BCBA)m的透射谱的影响。结果表明:当介质无掺入激活杂质,即介质的介电常量为一实数时,禁带中心出现一条透射率为100%的透射峰;当在镜像对称结构的任一介质中掺入激活杂质,即介质的介电常数为一带有负虚部的复数时,透射峰的透射率均出现增益现象,且随着各介质复介电虚部大小的增大,透射增益出现一极大值后又减小;各介质复介电虚部大小的变化对光子晶体透射谱的影响存在各异,其中介质A掺入激活杂质时增益幅度最大,其次为C,B相对较小,但透射率的增益对B介质的复介电虚部响应最为灵敏,其次为C,A相对较为迟钝。这些特性对新型光学器件的设计具有指导意义。
Using the transfer matrix method, the influence of activated impurity materials on the transmission spectra of a one-dimensional photonic crystal (BCB) m (BCBA) m with mirror symmetry structure has been studied. The results show that there is a transmission peak with a transmittance of 100% in the center of the forbidden band when there is no active impurity in the medium, that is, the dielectric constant of the medium is a real number. When any medium with mirror symmetry structure is doped with activating impurities , That is, the permittivity of the medium is a complex number with a negative imaginary part, the transmittance of the transmission peak shows a gain phenomenon, and with the increase of the imaginary part size of each dielectric, the transmission gain appears a maximum value And then decrease. The influence of the size of imaginary part of the complex dielectric on the transmission spectrum of photonic crystals varies. The medium A has the largest gain when doped with activated impurities, followed by C and B, but the transmittance The gain is most sensitive to the complex dielectric response of the B medium, followed by C and A is relatively slow. These features are instructive for the design of new optics.