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利用传输矩阵法研究了复介电双周期光子晶体的带隙结构和光传输特性。研究发现:一维双周期光子晶体的光子带隙结构中在两光子晶体带隙交叠处具有很明显的两共振透射峰。当组成双周期光子晶体的一种介质为复介电且其虚部为负时,两共振透射模式都出现了较强的增益。随着复介电常量的虚部的增加,两透射增益先增加后减少,中间存在一极值点。而当组成双周期光子晶体的一种介质的复介电虚部为正时,表现为对两共振透射模式的吸收。这一结果为光子晶体同时实现双通道超窄带滤波器和光放大微器件提供了理论基础。
The transfer matrix method was used to study the bandgap structure and optical transmission properties of a double-period photonic crystal with a complex dielectric. It is found that the photonic bandgap structure of one-dimensional two-period photonic crystal has obvious two resonant transmission peaks at the band gap overlap of the two photonic crystals. When one of the mediums that make up a two-cycle photonic crystal is a complex dielectric and its imaginary part is negative, both resonance transmission modes show a strong gain. As the imaginary part of the complex dielectric constant increases, the two transmission gains first increase and then decrease, with an extreme point in between. When the complex dielectric part of a medium composing a two-cycle photonic crystal is positive, it shows the absorption of the two resonant transmission modes. This result provides a theoretical basis for the photonic crystal to realize dual-channel ultra-narrowband filters and optical amplification micro-devices at the same time.