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Integral equation analysis of dielectric and conducting bodies of revolution in the presence of arbitrary surfaces

机译:存在任意表面时电介质和旋转导体的积分方程分析

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摘要

A formulation is developed to treat radiation from structures consisting of conducting and/or dielectric bodies of revolution (BOR) in the presence of multiple arbitrary shaped three-dimensional objects. A set of integral equations is developed on the surfaces of the combined structure and the resulting integro-differential equations are solved using the method of moments. On the BOR, harmonic entire domain expansion functions are used for the circumferential dependence, while overlapping sub-domain functions are used to model axial curvature. The arbitrary shaped portions of the structure are modeled using triangular surface patch basis functions. The resulting matrix has a partial block diagonal nature which provides a more economical solution for structures which have some rotational symmetry. The accuracy of the BOR and arbitrary surface formulation is verified using the self-consistency method and measured data.
机译:在存在多个任意形状的三维物体的情况下,开发了一种配方来处理来自由导体和/或介电体旋转体(BOR)组成的结构的辐射。在组合结构的表面上开发了一组积分方程,并使用矩量法求解了积分微分方程。在BOR上,谐波全域扩展函数用于圆周相关性,而重叠子域函数用于建模轴向曲率。结构的任意形状的部分都使用三角形曲面补丁基础函数建模。所得矩阵具有部分块对角线性质,这为具有一定旋转对称性的结构提供了更经济的解决方案。使用自洽方法和测量数据验证了BOR和任意表面配方的准确性。

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