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以平面分层媒质为物理模型,利用混合位积分方程(MPIE)结合矩量法(MoM)对有耗半空间斜架对数周期天线进行了严格的理论分析。推导了阻抗矩阵元素的计算公式,利用分层媒质中格林函数关于场点纵坐标连续的性质,将对标量位格林函数的微分运算转移到电流基函数上,有效降低了运算的奇异性,加快了计算速度,利用微波网络理论处理馈源问题,采用一种快速方法计算了远区辐射场,最后仿真计算了天线方向图,分析了地质参数对天线辐射特性的影响。研究结果表明,地质电导率值的变化对斜架LPDA方向图的影响比较明显,而地质介电常数的变化对此天线方向图的影响较小。本文对有耗半空间上斜架对数周期天线辐射场的计算有一定的参考价值。
Using planar layered media as a physical model, the mixed-bit integral equation (MPIE) and moment method (MoM) are used to conduct a rigorous theoretical analysis of a logarithmic periodic antenna with a half-space-swirled inclined frame. The calculation formula of the impedance matrix is deduced. By using the Green’s function in stratified media, the continuity of the ordinate of the field point is transferred to the current basis function, which can effectively reduce the singularity of the operation and accelerate The computational speed was calculated. The feed problem was solved by microwave network theory. A fast method was used to calculate the far field radiation field. Finally, the antenna pattern was calculated and the influence of geologic parameters on the radiation characteristics was analyzed. The results show that the change of geological conductivity value has obvious influence on the LPDA pattern of inclined plane, and the change of geologic permittivity has little influence on the antenna pattern. In this paper, there is a certain reference value for the calculation of the radiation field of the logarithmic periodic antenna in a half-space-inclined system.