This article is devoted to the study of beam‐wave interaction behavior of a double gap electromagnetic band‐gap resonator for a cluster miniature multi‐beam klystron (MMBK) with 114 beams operating at 12 GHz of a higher order 2π mode. We propose to use a fractality as a basic concept for modeling, analysis, and design for a new spatially developed quasi‐fractal resonators with six sub‐group of beam‐clusters. The tree‐like fractal double‐gap resonator contains electromagnetic band gap “traps” for parasitic types of oscillations in the form of clusters of metal and ceramic rods, which allow us to suppress higher parasitic types of oscillations. The results of calculations show the possibility of development a super‐multi‐beam miniature klystron with an output power of 7 kW when the overall efficiency is 30%.

中文翻译：

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具有电磁带隙的分形双间隙谐振器，用于微型X波段多光束速调管

本文专门的双间隙电磁带隙谐振器为群集微型多波束速调管（MMBK）与114的光束波相互作用行为的研究在更高顺序2的12千兆赫梁操作π模式。我们建议使用分形作为建模，分析和设计的一个基本概念，这种新概念是在空间上开发的具有六个子簇的准分形谐振器。树状的分形双间隙谐振器包含电磁带隙“陷阱”，以金属和陶瓷棒的簇的形式用于寄生类型的振荡，这使我们能够抑制更高的寄生类型的振荡。计算结果表明，当总效率为30％时，可以开发输出功率为7 kW的超多光束微型速调管。