Numerical Analysis of Eigenvalue Solution of Disk Resonator (Short Papers)
Numerical Analysis of Eigenvalue Solution of Disk Resonator (Short Papers)
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盘式谐振器特征值解的数值分析（短文）
DOI：
10.1109/tmtt.1975.1128611
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发表时间：
1975
影响因子：
4.3
通讯作者：
S. Tanaka
中科院分区：
文献类型：
--
作者：
K. Tanabe;Y. Kobayashi;S. Tanaka
本文提出了一种计算谐振器本征模频率的公式，该谐振器具有置于两个无限大平行导体板之间的中间平面中的薄导体盘。进行了数值分析的E-和EH-模式，这些特征值的计算作为磁盘半径的比值的函数之间的距离的磁盘和无限导体板之一。结果表明，当比值大于某一值时，精确本征值小于用常规方法计算的矩形波导二维分叉的本征值，但随着比值的增大，后者更接近于精确本征值。我们的精确本征值的可用性表明，在实验上确定的聚四氟乙烯板样品的介电常数，通过应用这些值。然后，所测量的介电常数的恒定性被确认，而不管模式和比率。
A formulation is proposed to calculate the frequencies of the eigenmodes for a resonator with a thin conductor disk placed in the median plane between two infinite parallel conductor plates. The numerical analysis is carried out for the E- and EH-modes, and these eigenvalues are calculated as the function of the ratio of the disk radius to the distance between the disk and one of the infinite conductor plates. It is shown that at a ratio greater than a certain value the exact eigenvalue is smaller than the one predicted by applying the conventional method for two-dimensional bifurcation of rectangular waveguide, but the latter becomes closer to the exact one with increasing ratio. The availability of our exact eigenvalues is demonstrated in determining experimentally the dielectric constant of Teflon plate specimen by applying those values. Then the constancy of the measured dielectric constant is confirmed irrespective of the modes and the ratios.