School of Science, Nanchang University, Nanchang 330031, People's Republic of China.
J Phys Condens Matter. 2010 Feb 10;22(5):055403. doi: 10.1088/0953-8984/22/5/055403. Epub 2010 Jan 15.
The band structure and bandgaps of one-dimensional Fibonacci quasicrystals composed of epsilon-negative materials and mu-negative materials are studied. We show that an omnidirectional bandgap (OBG) exists in the Fibonacci structure. In contrast to the Bragg gaps, such an OBG is insensitive to the incident angle and the polarization of light, and the width and location of the OBG cease to change with increasing Fibonacci order, but vary with the thickness ratio of both components, and the OBG closes when the thickness ratio is equal to the golden ratio. Moreover, the general formulations of the higher and lower band edges of the OBG are obtained by the effective medium theory. These results could lead to further applications of Fibonacci structures.
本文研究了由ε-负材料和μ-负材料组成的一维 Fibonacci 准晶的能带结构和带隙。结果表明，Fibonacci 结构中存在各向同性带隙（OBG）。与布拉格带隙不同，这种 OBG 对光的入射角和偏振不敏感，并且 OBG 的宽度和位置不再随 Fibonacci 阶数的增加而变化，而是随两种成分的厚度比而变化，当厚度比等于黄金比时 OBG 会关闭。此外，OBG 的高低能带边缘的一般公式是通过有效媒质理论得到的。这些结果可能会导致 Fibonacci 结构的进一步应用。
