多重散射理论对光子晶体量子阱结构光子共振透射的研究

RESONANT TRANSMISSION PROPERTIES OF PHOTONIC QUANTUMWELL STRUCTURES STUDIED BY MULTIPLE-SCATTERING THEORY

用球面波展开的多重散射理论计算了光子量子阱的透射系数.光子量子阱由两层光子势垒之间夹置一层均匀介质构成,由于光子带隙的失配,类似于电子量子阱,形成所谓光子量子阱.对透射峰位置的计算结果表明某些光子态以量子化的形式存在,满足量子化频率关系.同时证明有限高的光子势垒在不同光子能级中起到不同的限制作用.共振峰的位置和数量可通过改变阱宽而实现人工调控,通过适当选择阱和垒的参数能够实现高质量的多通道滤波.对光子晶体耦合双量子阱的计算表明,当阱间的垒宽度增加时,两个模式的耦合减弱,模式分裂的间距减小.

The resonant transmission properties of a photonic quantum-well were studied by a spheric-wave expansion method in combination with multiple-scattering techniques. Similar to the electronic quantum wells the photonic quantum-well is constructed by sandwiching a uniform medium between two photonic barriers. The calculated resonant transmission peaks show that some photonic states exist in a quantized way, satisfying a quantized frequency relation. The finite photonic potential barrier plays different confining roles on the different photonic levels. By appropriately choosing the parameters of the well and barrier, a high-quality multichannel filtering can be achieved. The calculation in the coupled double photonic quantum-wells shows that the coupling between the modes in the two wells weakens with the widening of the barrier thickness, and the mode splitting becomes smaller.