一维光子晶体的有效折射率及色散特性

对有限长度一维光子晶体引入了复有效折射率的概念.它的实部描述了一维光子晶体的色散特性, 虚部反映了光在光子禁带被损耗衰减而消失的特征.从具体计算λ/4 波片堆组成的一维光子晶体的复有效折射率的结果可以看到,它的实部受到光子带结构的调制,在光子禁带及透射带中的一部分出现反常色散现象.在很大的频率范围内,有效折射率变得小于1.

EFFECTIVE REFRACTIVE INDEX AND DISPERSIVE PROPERTIES OF ONE-DIMENSIONAL PHOTONIC CRYSTALS

The concept of complete effective refractive index for finite, one dimAbstract: The concept of complete effective refractive index for finite, one dimensional photonic crystals was introduced. Its real part described the dispersive properties; its imaginary part described the characters that light was attenuated and evanescent inside photonic band gap. The results of analytic compute of the complete effective refractive index for quarter wave stack showed that its real part was modulated by photonic band structure. There are anomalous dispersive phenomenon in photonic band gaps and a part of transmitting bands. The effective refractive indexes are small than one in most of frequency ranges. This character can be used to realize phase matched for parametric interactions of nonlinear optics.