为设计高效光滤波、光放大、光衰减和光开关等新型量子光学器件,用传输矩阵法理论研究了一维光子晶体(AB)。(AABAABAABAA)m(BA)m。的光传输特性,结果发现:在实介电常量或复介电常量情况下,光子晶体均构成光量子阱结构,并呈现明显的量子化效应,实介电和复介电常量量子阱的透射谱结构与特点相同,透射峰数目和频率位置均与周期数n密切相关;当折射率nB为含负虚部的复介电常量时,光量子阱的共振透射峰出现不同程度的透射增益、放大现象,增益倍数最高达10^3数量级,同时共振透射峰频率处出现很强的受激辐射,辐射极强达到104数量级;当n≥3时,随n的增加量子阱透射增益倍数呈现下降趋势,共振透射峰频率处的受激辐射也随之下降;当nB为含正虚部的复介电常量时,共振透射峰则出现明显地透射衰减现象。这些特性为实验制备工作提供理论依据和指导。
To design new-style effectively optical devices such as filters, amplifiers, attenuators and switches, the transmission characteristics of one-dimension photonic crystal(AB)m(AABAABAABAA),(BA)m were studied by the transfer matrix method theory. The results show that with the real or complex dielectric constant, (AB)m(AABAABAABAA),(BA)m will be formed into quantum-well structure photonic crystal which presents an apparent quantized effect. The number and frequency location of the transmission peaks of the thus-formed photonic crystal are closely related to the value of n. When nB is a complex dielectric constant with a negative imaginary part, the transmission peaks in the well present transmission gains and amplification at various levels. The transmission gains even reach as high as 103, and at some transmission peaks, strong stimulated radiation up to 104 orders of magnitude are found. When n≥3, both the multiple of the transmission gain and the maximum of stimulated radiation decrease with increasing n. And when nB is of a complex dielectric constant, peaks obviously show attenuated in the transmission. These characteristics offer theoretical guidance for preparation photonic crystals.