Zaginaylov G I, Grudiev A, Schünemann K, Turbin P V
Department of Physics and Technology, Kharkov National University, Kharkov, Ukraine.
Phys Rev Lett. 2002 May 13;88(19):195005. doi: 10.1103/PhysRevLett.88.195005. Epub 2002 Apr 29.
It is shown that dispersion curves describing a spectrum of Trivelpiece-Gould (TG) waves in periodic plasma-filled waveguides have a fractal nature. They are not solid lines as for other types of waves in periodic waveguides but suffer from discontinuities of the first kind at any k(z) = (P/Q) (2m+1)pi/d, where P and Q are integers, d is the period of the corrugation, and m is the transverse index of a mode. The gaps correspond to forbidden bands. The evaluation of the Hausdorf dimension of the dispersion curves is presented. Finally, qualitative consequences of the fractal nature of TG waves for plasma microwave electronics are discussed.
结果表明，描述周期性填充等离子体波导中特里维尔皮斯-古尔德（TG）波谱的色散曲线具有分形性质。它们不像周期性波导中其他类型的波那样是实线，而是在任何k(z) = (P/Q) (2m + 1)π/d处存在第一类间断，其中P和Q是整数，d是波纹周期，m是模式的横向指数。这些间隙对应于禁带。给出了色散曲线的豪斯多夫维数的评估。最后，讨论了TG波的分形性质对等离子体微波电子学的定性影响。
