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Derivation and generalization of the dispersion relation of rising-sun magnetron with sectorial and rectangular cavities

机译:具有扇形和矩形腔的朝阳磁控管色散关系的推导和推广

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摘要

Field analysis method is used to derive the dispersion relation of rising-sun magnetron with sectorial and rectangular cavities. This dispersion relation is then extended to the general case in which the rising-sun magnetron can be with multi-group cavities of different shapes and sizes, and from which the dispersion relations of conventional magnetron, rising-sun magnetron, and magnetron-like device can be obtained directly. The results show that the relative errors between the theoretical and simulation values of the dispersion relation are less than 3%, the relative errors between the theoretical and simulation values of the cutoff frequencies of π mode are less than 2%. In addition, the influences of each structure parameter of the magnetron on the cutoff frequency of π mode and on the mode separation are investigated qualitatively and quantitatively, which may be of great interest to designing a frequency tuning magnetron.
机译:利用场分析法推导了具有扇形和矩形腔的朝阳磁控管的色散关系。然后,将该色散关系扩展到通常的情况,在该情况下,升起的磁控管可以具有不同形状和大小的多组腔,并且常规磁控管,升起的磁控管和类似磁控管的装置的色散关系从该通用关系开始。可以直接获得。结果表明,色散关系的理论值与仿真值之间的相对误差小于3%,π模式截止频率的理论值与仿真值之间的相对误差小于2%。此外,定性和定量地研究了磁控管的每个结构参数对π模截止频率和模分离的影响,这可能对设计频率调谐磁控管非常重要。

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