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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)m(AABAABAABAA)n(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103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。
In order to design new quantum optics such as high efficiency optical filter, optical amplification, optical attenuation and optical switch, the transmission properties of one-dimensional photonic crystal (AB) m (AABAABAABAA) n (BA) In the case of real dielectric constants or complex dielectric constant, the photonic crystals form a light quantum well structure and exhibit obvious quantumization effect. The structure and characteristics of the transmission spectra of the real dielectric and the complex dielectric constant quantum well are the same, and the number of transmission peaks When the refractive index nB is a complex permittivity with a negative imaginary part, the transmission peak of the resonance quantum of the quantum well has different degrees of transmission gain and amplification, and the gain multiple reaches up to 103 orders of magnitude. At the same time, there is a strong stimulated emission at the resonant transmission peak frequency, and the radiation reaches a maximum of 104 orders of magnitude. When n ≧ 3, the transmission multiple of the quantum well decreases with the increase of n, and the stimulated emission at the resonant transmission peak frequency And then decreases. When nB is a complex permittivity with a positive imaginary part, the resonance transmission peak obviously transmits the attenuation phenomenon. These characteristics provide theoretical basis and guidance for the experimental preparation.