复合周期光子晶体高阶带边模参量放大与压缩

Parametric amplification and compression of high order band edge modes in compounding period photonic crystals

为了在一维光子晶体中有效地实现光学参量过程,光波之间的Bloch位相匹配是一重要因素,而复合结构光子晶体的高阶带边模也可以同时满足位相匹配和频率匹配.利用一维传输矩阵方法,得到了复合周期结构的线性特征,结果表明:高阶带边模也具有很强的局域特性,从而预见高价带边模也能高效地实现参量放大.利用非线性时域有限差分(NFDTD)数值方法,模拟了一维复合周期结构光子晶体的参量放大过程,数值结果表明,在高阶带边模参与的情况下,信号波在放大的同时实现压缩,并且参量放大的阈值降低.由此可见,对于利用复合周期结构光子晶体实现的参量过程,能够有效利用的频率范围增加了.

In order to obtain high conversion efficiency for optical parametric process in a one - dimensional photonic crystal （ PC）, the one - dimensional transfer matrix method was used to investigate the linear properties of compounding period photonic crystal （CPPC）. Analysis result indicates that the localizations of high order band edge modes （BEMs） are also very strong, which means that high efficiency parametric amplification （PA） may be realized using higher order BEMs. Using nonlinear finite - difference time - domain method （NFDTD）, we investigated the PA in a 1 D GPPPC structure, the results show that the signal wave can be amplified efficiently and the thresholds are also decreased when the higher BEMs are presented. Therefore, the bandwidth of PA process in a CPPC is increased.