含负折射率介质的光子晶体量子阱的透射谱特性研究

Transmission Spectra of Quantum Well of Photonic Crystals with Negative Dielectric

关键词:  光子晶体  量子阱  谱线分裂  透射谱

Key words:  photonic crystal  quantum well  splitting  transmission spectra

摘要:

构建具有双量子阱结构的一维光子晶体(AB)_m(CD)_n(AB)_m(CD)_n(AB)_m的物理模型[(AB)₅(CD)_n]2(AB)₅,考虑介质为正折射材料或负折射材料情况,利用传输矩阵法对不同的n取值及C、D材料进行色散关系和透射能带谱的数值计算与分析,揭示光子遂穿多量子阱结构时谱线条数及其分裂的规律性。结果表明,当重复周期数n相同时,C、D介质均为相等的正材料或均为相等的负材料透射谱的条数不同,相同的周期数n对应的正材料光量子阱比负材料多2条双透射峰。而且无论C和D介质均为相等的正材料或为相等的负材料,当周期数n为偶数时,透射峰之间的距离较远,当周期数n为奇数时,透射峰的条数与周期数为n-1时相同,而且透射峰之间距离较近。如果改变双负介质C、D材料的折射率,透射谱的高度将随之改变。这些现象为光子晶体实现多通道滤波器和发展光通信超密集波分复用提供理论指导。

Abstract:

The transmission spectra and dispersion relationship of the model[(AB)₅ (CD)_n]2 (AB)₅ of one-dimensional photonic crystal (AB)_m (CD)_n (AB)_m (CD)_n (AB)_m is calculated by means of the transfer matrix method including negative refraction materials.The phenomenon of splitting is analyzed.The results show that at the same cycle period the transmission spectra numbers of C and D media with either all the equal right-handed materials or left-handed materials are different.The right-handed materials have two double transmission peak more than left-handed materials.No matter that C and D media are either all the equal right-handed materials or left-handed materials, when n is an even number, transmission peaks have long distance each other.When n is an odd number, transmission peak number equals to the periodicity of n-1.The transmission index changes with the change in refraction index of C and D media.These features can be used for the design of multi-channel tunable filter and ultra-deuse wavelength division multiplexing.