An efficient fringe integral equation method for optimizing the antenna location on complex bodies
An efficient fringe integral equation method for optimizing the antenna location on complex bodies
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一种优化复杂物体上天线位置的高效条纹积分方程方法
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
O. Breinbjerg
中科院分区：
文献类型：
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作者：
E. Jørgensen;P. Meincke;O. Breinbjerg
安装在复杂三维结构附近或直接安装在复杂三维结构上的天线的辐射方向图会受到该结构的显著影响。积分方程与矩量法（MoM）相结合，为计算此类应用中结构的散射提供了一种精确的方法。然后用具有相应表面电流扩展函数的三角形或矩形表面块对结构进行建模。通过将天线建模为外加电源或磁源，可以获得与天线位置无关的MoM矩阵，例如，可以用磁性赫兹偶极子来模拟槽天线。对于齐平安装的天线，或安装在散射结构附近的天线，附近的外加源在散射结构上产生一个高峰值的表面电流。对于传统积分方程求解中常用的低阶基函数，峰值电流是一个具有挑战性的问题，因为它需要大量的未知量和过多的计算时间。Jorgensen， Meincke和Breinbjerg提出了一种条纹双表面磁场积分方程（F-DMFIE），该方程消除了峰值电流和场的问题，甚至对于位于任意靠近结构表面的外加源也是如此（见《应用计算电磁学报》Proc.）。，蒙特利，加州。2001年3月)。在这个公式中，结构上的表面电流是通过计算一些线积分和对每个天线位置执行单个矩阵向量乘法来获得的。本文回顾了F-DMFIE公式，并将其应用于比Jorgensen等人更复杂的几何形状。此外，还讨论了多天线位置的有效解决方法，包括并行实现。
The radiation pattern of an antenna mounted nearby, or directly on, a complex three-dimensional (3D) structure can be significantly influenced by this structure. Integral equations combined with the method of moments (MoM) provide an accurate means for calculating the scattering from the structures in such applications. The structure is then modelled by triangular or rectangular surface patches with corresponding surface current expansion functions. A MoM matrix which is independent of the antenna location can be obtained by modelling the antenna as an impressed electric or magnetic source, e.g., a slot antenna can be modelled by a magnetic Hertzian dipole. For flush-mounted antennas, or antennas mounted in close vicinity of the scattering structure, the nearby impressed source induces a highly peaked surface current on the scattering structure. For the low-order basis functions usually applied in conventional integral equation solvers, a peaked current poses a challenging problem since it necessitates a large number of unknowns and excessive computation times. A fringe dual-surface magnetic field integral equation (F-DMFIE) that eliminates the problem of peaked currents and fields, even for impressed sources located arbitrarily close to the surface of the structure, was presented by Jorgensen, Meincke and Breinbjerg (see Proc. of the Applied Computational Electromagnetic Symp., Monterey, CA,. March 2001). In this formulation, the surface current on the structure is obtained by evaluating a number of line integrals and performing a single matrix-vector multiplication for each antenna location. This paper reviews the F-DMFIE formulation and applies it to a more complicated geometry than that of Jorgensen et al. In addition, efficient solution methods for multiple antenna locations, including parallel implementations, are discussed.