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Dispersion diagrams of linear slow-wave structures. Identification of electromagnetic waves, all electromagnetic waves: forward-traveling, backward-traveling and standing electromagnetic waves
Journal of Electromagnetic Waves and Applications ( IF 1.3 ) Pub Date : 2021-09-21 , DOI: 10.1080/09205071.2021.1978872
Andrey D. Andreev 1 , Liangjie Bi 2 , Edl Schamiloglu 1
Affiliation  

The analytically calculated dispersion diagram of an overmoded 9-period V-band slow-wave structure (SWS) designed to operate in a high-order transverse-magnetic TM03 waveguide mode of a backward-traveling electromagnetic wave [Ye et al., Phys. Plasmas, 22, 063104 (2015)] is re-examined using the two-dimensional (2D) Poisson SuperFish code allowing to precisely calculate spatial patterns of electric field vectors, wavenumbers and characteristic frequencies of all azimuthally-symmetric TM0nl cavity modes that exist in a closed SWS, where n and l are the radial and axial indices of TM0nl cavity modes, respectively [Main et al., IEEE Trans. Plasma Sci., Vol. 22, No. 5, Oct. 1994, p. 566]. It is shown that the analytically calculated higher-order TM0n waveguide modes of the open SWS are actually not pure TM0n modes, but fascinating combinations of selected portions of the modes with selected portions of all possible lower-order TM0(n-j) waveguide modes, where j=1 … (n-1). An analytically calculated TM03 waveguide mode, therefore, turns out to be in fact a combination of three different TM0n waveguide modes sequentially identified by numerically calculated TM0nl cavity modes: (i) TM03l mode with l=0 … 4, (ii) TM01l mode with l=13 … 11, and (iii) TM02l mode with l=8 … 9.



中文翻译:

线性慢波结构的色散图。电磁波、所有电磁波的识别:正向传播、反向传播和驻留电磁波

过模 9 周期 V 波段慢波结构 (SWS) 的分析计算色散图,设计用于在反向传播电磁波的高阶横磁 TM 03波导模式下运行 [Ye 等人, Phys . Plasmas , 22, 063104 (2015)] 使用二维 (2D) Poisson SuperFish 代码重新检查,允许精确计算所有方位角对称 TM 0 nl腔模式的电场矢量、波数和特征频率的空间模式存在于封闭的 SWS 中,其中nl分别是 TM 0n l腔模式的径向和轴向指数[Main et al.,IEEE Trans。等离子科学,卷。1994 年 10 月,第 22 期,第 5 期,第 5 页。566]。结果表明,分析计算的开放 SWS 的高阶 TM 0 n波导模式实际上不是纯 TM 0 n模式,而是模式的选定部分与所有可能的低阶 TM 0( n - j )波导模式,其中j =1 … ( n -1)。因此,分析计算的 TM 03波导模式实际上是三个不同的 TM 0 n波导模式的组合,这些模式由数值计算的 TM 0顺序识别nl腔模式:(i) TM 03 l模式, l =0 … 4,(ii) TM 01 l模式, l =13 … 11,和 (iii) TM 02 l模式, l =8 … 9。

更新日期:2021-09-21
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