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本文应用互易定理导出了屏蔽的微带形传输线内部的场的传播常数的变分表达式。得出的方程包含传播常数和空气—介质接面上的切向场。利用瑞利—里茨优化方法可完全确定传播常数和场。该传播常数的计算结果要比其他方法得出的数据更加完善,而且得到的场解以轴向和横向电场的极化比的形式来表达。其结果覆盖低频和高频两个范围,这种方法证明在两个频率范围上都是有效的。通过适当调整上下限,这个方法还可以扩展到其他形状的平面带状线。
In this paper, we use the reciprocity theorem to derive the variational expressions of the propagation constants of the field inside the shielded microstrip transmission line. The resulting equation contains the propagation constant and the tangential field at the air-medium interface. The propagation constant and field can be completely determined by the Rayleigh-Ritz optimization method. The calculation of propagation constant is more complete than the data obtained by other methods and the resulting field solution is expressed in terms of the polarization ratio of the axial and transverse electric fields. The result covers both low and high frequency ranges and this method proves to be effective over both frequency ranges. This method can also be extended to other shapes of planar strip lines by adjusting the upper and lower limits appropriately.