轴对称渐变型类周期慢波结构的色散特性

Dispersion characteristics of arbitrary axial-symmetric tapered quasi-periodic slow-wave structure

运用场匹配法和傅里叶级数理论,提出一种原则上可数值求解任意轴对称渐变型类周期慢波结构色散特性的方法。采用该方法编制了计算渐变型波纹波导和渐变型盘荷波导色散曲线的Matlab程序,详细分析并讨论了这两类典型渐变型类周期慢波结构的色散特性。数值计算结果与多维全电磁模拟软件模拟结果的数据吻合度较高,验证了该数值算法的可靠性。另外,该方法具有较强的普适性和扩展性,也可退化到任意轴对称周期慢波结构色散特性的求解,为慢波结构的设计提供一种简单有效的途径。

This article puts forward a numerical method which could compute dispersion curves in an arbitrary axial-symmetric tapered quasi-periodic slow-wave structure, based on field-matching method and Fourier series theory. Using this numerical method, the dispersion curves of a tapered sinusoidal ripple waveguide and a tapered disk-loaded waveguide were computed by programming Matlab codes. The dispersion characteristics of these two typical tapered quasi-periodic slow-wave structures were analyzed and discussed. Numerical results were compared with the simulated results of multidimensional full electromagnetic software, and the reliability of this numerical method was validated. The numerical method has a strong universality and expansibility in designing slow-wave structures, it could also compute dispersion curves of an arbitrary axial-symmetric periodic slow-wave structure.