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Fast and Accurate Solution for the Surface Fields Scattering of a Dipole Antenna Placed on Planar Multi-Layered Earth
Radio Science ( IF 1.6 ) Pub Date : 2021-05-21 , DOI: 10.1029/2020rs007136
H. Sh. Shoeib 1
Affiliation  

Fast and accurate solution has been derived to the electromagnetic (EM) scattering problem from a dipole antenna placed on a planar multi-layered earth. The derivation consists of three steps. First, reducing the field integrals to combinations of recognized Sommerfeld integrals (SIs) and expressed it as an infinite series. Next, in the complex - plane, we replaced the reflection coefficient by using an exponential function which tends to the summation of algebraic series. Finally, by using the Shoeib technique, which divided the integrand into two factors and helped to calculate the stationary phase point, closed-form expressions for the far-field had been derived speedy and appropriately. This method allows to reduce the integral representations for the field components generated by the dipole source to a well-known standard integral, whose assessment is easy. Numerical simulations are executed to show the validity of the advanced method, which can be valid irrespective of the operating frequency, over the preceding solutions, in addition to its benefits in saving time over others techniques. The results obtained are compared with those mentioned elsewhere.

中文翻译:

平面多层地球上偶极天线表面场散射的快速准确求解

已经从放置在平面多层地球上的偶极天线中导出了电磁 (EM) 散射问题的快速和准确的解决方案。推导包括三个步骤。首先,将场积分简化为公认的 Sommerfeld 积分 (SI) 的组合,并将其表示为无限级数。接下来,在复平面中,我们使用趋向于代数级数求和的指数函数来替换反射系数。最后,通过使用 Shoeib 技术,将被积函数分为两个因子并帮助计算固定相位点,可以快速而恰当地推导出远场的闭式表达式。这种方法允许将偶极源产生的场分量的积分表示减少到众所周知的标准积分,谁的评估很容易。执行数值模拟以显示先进方法的有效性,无论工作频率如何,该方法都适用于前面的解决方案,此外还具有比其他技术节省时间的好处。获得的结果与其他地方提到的结果进行了比较。
更新日期:2021-07-08
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