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中文摘要：
运用光学传输矩阵理论，研究了具有复介电常量缺陷层一维三元光子晶体的禁带特性。数值模拟结果得出：含有单缺陷的一维三元光子晶体的禁带中出现透射峰A和透射峰B，缺陷层复介电常量的虚部对透射峰B的影响很大。虚部为正时，表现为对透射峰B的吸收，随着虚部的增加，透射峰B逐渐降低；虚部为负时，表现为对透射峰B先增益然后吸收，随着虚部的增加，透射峰B先增加后减少。但缺陷层复介电常量虚部的变化对透射峰A基本不影响。本研究为光子晶体同时实现双通道滤波器和放大器提供理论参考。
英文摘要：
By using the method of optical transfer maxtrix, the band function and the optical transmission properties of 1D three element photonic crystals with an imaginary part of dielectric constant defect are studied. The investigation results show that transmittance peak A and transmittance peak B appear in the photonic band if an real dielectric constant defect is added in the 1D three element photonic crystals. The transmittance peak B is largely affected by the imaginary part of dielectric constant defect. The transmittance peak B is absorbed if the imaginary part of dielectric constant defect is positive. With the increasing of the imaginary, the transmittance gain B is reducing. The transmittance peak B firstly increased then reduced if the imaginary part of dielectric constant defect is negative. However ,the transmittance peak A is invariable when the imaginary part of dielectric constant defect is changed. The conclusion is might be used to double channel narrow band filter and optical amplification device synchronously.
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