计算了由正负折射率材料交替排列组成的一维光子晶体的能带及电场,发现其能带不同于由普通正折射率材料组成的光子晶体的能带.当选择合适的参数时,由正负折射率材料组成的光子晶体的TE模或TM模有完全光子带隙出现,这在普通光子晶体中不出现.导带中的电场波函数与普通光子晶体相比具有很强的局域性.对于负折射率材料层为色散介质的情况,计算了在不同的具有正负折射率区域能带.
We theoretically studied the band gap structure of one-dimensional photonic crystals constituted by alternate layers of left- handed and right-handed materials, and found that the band gap structure is different from the usual photonic crystals. With an appropriate choice of the parameters, we show that it is possible to realize an absolute band gap for either TE or TM polarization of the electromagnetic waves, which can not be found in normal photonic crystals. The wave function of electric field in the pass band is strongly localized compared with the normal photonic crystals. And we give an example in which we substitute the left- handed materials with dispersion materials, and get different energy bands in different areas.