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Determination of Biconical Cavity Eigenfrequencies Using Method of Partial Intersecting Regions and Approximation by Rational Fractions
Radioelectronics and Communications Systems Pub Date : 2019-12-01 , DOI: 10.3103/s0735272719120033
M. V. Andreev , O. O. Drobakhin , D. Yu. Saltykov , N. B. Gorev , I. F. Kodzhespirova

The paper considers the problem of determining the eigenfrequencies of biconical cavity making it possible to simplify the eigenfrequency-based design of devices. We used the solving of the excitation problem for biconical cavity using the method of partial intersecting regions in combination with the collocation method. Based on the concept of the search of quasisolution for determining eigenfrequencies, it was proposed to apply the fractionally rational approximation of cavity response obtained as a result of solving the problem of resonator excitation. The efficiency of finding eigenfrequencies of biconical cavity was substantiated by using the fractionally rational approximation based on the chain fraction interpolation of cavity response calculated only at collocation points. Using the above approach, we have obtained the relationship of eigenfrequencies of azimuth-symmetric oscillations of biconical cavity as a function of the aperture angle, and the typing of lower azimuth-symmetric transverse electric modes of biconical cavity has been performed.

中文翻译:

用部分相交区域和有理分数近似法确定双锥腔特征频率

该论文考虑了确定双锥腔的特征频率的问题,从而可以简化基于特征频率的器件设计。我们采用局部相交区域法结合搭配法求解双锥腔激发问题。基于寻找用于确定特征频率的拟解的概念,提出了应用腔响应的分数有理近似作为解决谐振器激励问题的结果。通过使用基于仅在搭配点计算的腔响应的链分数插值的分数有理近似,证明了找到双锥腔特征频率的效率。使用上述方法,
更新日期:2019-12-01
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