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Interfacial Dipoles and Radiated Energy

机译：界面偶极子与辐射能

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摘要

Electric dipoles radiate an electromagnetic field into their surroundings. The electric and magnetic fields from a point source or from linear dipoles have components parallel to a spherical surface but also a radial component. In most investigations on radiated fields, only the part of the electric field that is parallel to a spherical surface is taken into account. The argument is that only that component contributes to the radiated energy. Here we show that the phase front in the lower half space is not a spherical surface and hence, the radial components contribute to radiated energy. We show differences in radiation patterns for point electric dipoles and linear dipoles, either modeled as perfectly conducting wires or as resistively loaded wires. Our primary interest lies with improving image resolution through processing of Ground-Penetrating Radar data. Here the emphasis lies with understanding the radiation characteristics of linear dipoles that can be incorporated with image processing algorithms. The model uses a thin-wire approximation for the transmitter antenna. The solution to the discrete system of equations is solved, incorporating interaction between the interface, using a CGFFT scheme including sym'metrization and a newly developed preconditioning operator. We look at the electric and magnetic fields as well as the time-averaged Poynting vector radiation patterns in the E-plane and H-plane of the transmitting antenna. The results show that the radial component of the radiated electric and magnetic field is not negligible, even at distances more than seven wavelengths away from the antennas.
机译：电偶极子向周围辐射电磁场。来自点源或线性偶极子的电场和磁场具有平行于球形表面的分量，但也具有径向分量。在大多数对辐射场的研究中，只考虑了平行于球形表面的部分电场。有论据认为，只有该成分才有助于辐射能量。在这里，我们显示出下半空间的相前不是球形表面，因此，径向分量有助于辐射能量。我们显示了点电偶极子和线性偶极子在辐射方向图上的差异，无论是建模为完美导线还是电阻负载导线。我们的主要兴趣在于通过处理探地雷达数据来提高图像分辨率。在这里，重点在于理解可以与图像处理算法结合的线性偶极子的辐射特性。该模型对发射机天线使用细线近似。通过使用包括符号化和新开发的预处理算子在内的CGFFT方案，结合了接口之间的相互作用，解决了离散方程组的解决方案。我们查看电场和磁场以及发射天线的E平面和H平面中的时间平均Poynting矢量辐射图。结果表明，即使在距离天线七个以上波长的距离处，辐射电场和磁场的径向分量也不能忽略。

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