采用传输矩阵法计算了一维受限反铁磁光子晶体的带结构和透射比。研究结果表明：除来源于结构周期性的光子带隙外, 体系还存在一种频率带隙, 与反铁磁材料的共振性质以及受限尺寸有关。适当调节反铁磁各向异性轴的方向和受限尺寸, 在反铁磁共振频率处可以出现比大块反铁磁材料的带隙宽约15倍的频率带隙。一定条件下, 在大块反铁磁材料带隙的频率区间上, 一些电磁波模式是可以在受限光子晶体中传播的。最后分析了几种典型的透射谱, 与带结构吻合。

Band structures and transmittance of a one-dimensional confined antiferromagnetic photonic crystal were calculated by the transfer matrix method. Besides photonic band gaps, the results demonstrate the existence of another type of frequency gaps which principally depends on the antiferromagnetic resonant character and the confined dimension. In the vicinity of the antiferromagnetic resonant frequency, a relatively wider frequency gap can be obtained by properly changing the antiferromagnetic anisotropic-axis orientation and the confined dimension. It is about 15 times wider than that of bulk antiferromagnetic material. On certain conditions, the confined photonic crystal can be transparent in the frequency gap of corresponding bulk antiferromagnetic material for some discrete modes. The typical transmission spectra are presented and agree with the calculated band structures.