In this paper, the characteristics of the omnidirectional band gap (OBG) for one-dimensional plasma cylindrical photonic crystals based on an improved Fibonacci topological structure are researched. The influences of the azimuthal mode number (m), incident angle (θ), plasma thickness (d_p), and plasma frequency (ω_p) on the OBG are discussed. These conclusions are drawn that m has a strong ability to regulate the OBG. As m increased, the OBG will be broadened. The θ has a similar ability in adjusting the photonic band gap (PBG), a larger θ will get a wider PBG. When θ = 85°, the TM wave achieves the PBG in the range of 0–3 (2πc/d). So the ultra-wide PBG can be got by the large θ. Contrary to m, d_p has an inverse relationship with the bandwidth of the OBG. As d_p increases, the bandwidth of the OBG will be decreased. Fortunately, the frequency range of the OBG can be controlled by d_p. But ω_p cannot regulate the bandwidth of the OBG. Increasing m and reducing d_p appropriately can obtain a lower frequency and wider OBG. This feature is very beneficial to designing devices such as waveguides, filters, and antenna substrates. In addition, an interesting phenomenon can be found when m = 2, an extra high reflection zone can be inspired in the TM wave. It provides a theoretical support for designing the narrowband filters without introducing any physical defect layers in the structure.

本文研究了基于改进的斐波那契拓扑结构的一维等离子体圆柱光子晶体的全向带隙（OBG）特性。方位角模式号（的影响米），入射角（θ），等离子体厚度（d _p），和等离子体频率（ω _p的OBG）进行了讨论。这些结论表明，m具有很强的调节OBG的能力。随着m的增加，OBG将扩大。该θ在调节光子带隙（PBG），较大的一个类似的能力θ会得到更广泛的PBG。当θ = 85°时，TM波实现在0-3范围内的PBG（2π ç / d）。因此，超宽PBG可以通过较大的θ获得。与m相反，d _p与OBG的带宽成反比关系。随着d _p的增加，OBG的带宽将减小。幸运的是，OBG的频率范围可以由d _p控制。但ω _p不能调节OBG的带宽。增加m并减少d _p适当地可以获得较低的频率和较宽的OBG。此功能对于设计诸如波导，滤波器和天线基板之类的设备非常有用。另外，当m  = 2时，会发现一个有趣的现象，可以在TM波中激发出一个特别高的反射区。它为设计窄带滤波器提供了理论支持，而无需在结构中引入任何物理缺陷层。