利用传输矩阵法研究一维双周期光子晶体的带隙结构、增益和衰减特性.结果表明:双周期一维二元和三元复合光子晶体的光子带隙结构具有宽禁带的特点,并且两带隙的交叠处出现了多个共振透射峰;当组成该光子晶体的一种介质为复介电且其虚部为负时,各共振透射模式都出现了不同程度的增益;随着复介电常量虚部的增加,各透射增益先增加后减少,中间存在一极值点,但是各共振透射模式出现透射增益极值点的虚部不同,且最大增益的大小也不同;当组成该光子晶体的一种介质的复介电虚部为正时,各共振透射模式的透射峰出现衰减.
The characteristics of photonic forbidden band,gain and absorbtion of 1D dual-periodical photonic crystal with an imaginary part of dielectric layer are studied by using the method of optical transfer matrix.The investigation results show that PBG of this structure is wide and many transmittance peaks appear in PBG.The great transmittance gains appear at transmittance peaks if the imaginary part of dielectric layer's dielectric constant is negative.As the absolute of the imaginary part increases,the transmittance gain increases firstly then decreases and the transmittance gain apex appears in the middle of PBG.The imaginary parts of dielectric constant with transmittance gain apex are different for different transmittance peak.However,the transmittance peaks are absorbed if the imaginary part of dielectric constant is positive.