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MoM Analysis of Conducting Surface-to-Wire Structures in Multilayered Uniaxial Media

机译:多层单轴介质中导电面向线结构的妈妈分析

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This work presents a method of moments (MoM) analysis for conducting bodies composed of surfaces connected to thin wires in multilayered uniaxial anisotropic media, such as often occurs in modeling geophysical problems. Wire, wire-to-surface junction, and RWG bases are used to model electric currents on the thin wire, junction, and conducting surfaces, respectively. Based on the transverse equivalent network (TEN) analogy with transmission lines, the dyadic Green's function for multilayered uniaxial media is efficiently evaluated using Kummer's method to accelerate the spectral integral contributions by extracting their asymptotic spectral forms, which are later restored in spatial forms derived from the Sommerfeld identity; this also reduces the spatial singularities of the spectral integrals such that they may be efficiently interpolated using a simplex interpolation scheme. A major contribution of this work is to model surface-to-wire junctions for structures penetrating layer boundaries in a multilayered uniaxial medium. In addition, a proper numerical scheme for modeling thin wire structures in multilayered uniaxial media is proposed.
机译:该工作介绍了一种矩(MOM)分析的方法(MOM)分析,用于导电体与多层单轴各向异性介质中的薄线连接的表面组成,例如经常发生在建模地球物理问题中。电线,线面结和RWG碱基用于分别在薄线,结和导电表面上模拟电流。基于具有传输线的横向等效网络(十)类比,使用Kummer的方法有效地评估二元绿色的多层单轴介质的功能,以通过提取它们的渐近光谱形式来加速光谱积分贡献,后来以衍生自恢复的空间形式恢复Sommerfeld身份;这也降低了光谱积分的空间奇异性,使得可以使用单纯形插值方案有效地内插。这项工作的主要贡献是为结构穿透多层单轴介质中的结构穿透层边界的表面到线圈。另外,提出了一种适当的数值方案,用于在多层单轴介质中建模薄线结构。

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