一种数值求解慢波结构色散曲线的新方法  

New Numerical Method of Computing Dispersion Curves in SWS

作　　者：董烨[1] 董志伟[2] 周海京[2] 

机构地区：[1]中国工程物理研究院研究生部,北京100088 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《信息与电子工程》2006年第5期331-336,共6页information and electronic engineering

基　　金：中国工程物理研究院科学技术基金资助项目(2005Z0403)

摘　　要：运用场匹配法,推导出一种原则上可数值求解任意圆柱轴对称周期结构慢波波导冷腔TM0n模色散曲线的方法。采用该方法编制了计算波纹波导和盘荷波导色散曲线的Matlab程序,计算结果与多维全电磁模拟软件结果的相对误差在1%之内。由于采用了数值积分算法,该方法的计算速度比传统的Bessel函数泰勒级数展开法更快。This article put forward a new numerical method which has a strong applicability and expansibility in numerical computing TMon dispersion curves in arbitrary axial symmetric cylindrical periodic SWS （Slow-Wave Structure） by using Field-Matching Method. The dispersion curves of a sinusoidal ripple waveguide and a disk-loaded waveguide are computed by programming Matlab codes. The numerical results are with relative errors about 1% compared with the simulated results of multidimensional full electromagnetic software. This new numerical method has a faster computation speed than a traditional method in which Bessel function is expanded into Taylor series when computing dispersion curves in a sinusoidal ripple waveguide, because of using numerical integral method.

关 键 词：场匹配法 慢波结构 色散曲线 数值算法 

分 类 号：TN61[电子电信—电路与系统]