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RADIATION OF HERTZIAN DIPOLES EMBEDDED IN PLANARLY LAYERED BIAXIAL MEDIA

机译:平面分层双轴介质中嵌入的赫兹二叉树的辐射

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The work presented in this paper concerns the determination of far field radiation patterns of arbitrarily oriented Hertzian dipoles. The sources exist within an arbitrarily oriented biaxial layer of a multi-layer planar structure whose layer boundaries are aligned with Cartesian coordinates. In order to evaluate the electric field, dyadic Green's functions for the geometries under consideration are derived in the spectral domain. The dyads constituting the Green's function are based on the natural eigenvector solutions of the medium. These eigenvectors can be developed both mathematically and via geometric considerations. Using the dyadic Green's functions and linear operator theory, integral equations for the electric field in the isotropic region are derived. Finally, asymptotic methods are applied in order to develop closed form solutions for the radiation fields.
机译:本文介绍的工作涉及确定任意取向的赫兹偶极子的远场辐射方向图。源存在于多层平面结构的任意定向的双轴层内,该多层平面结构的层边界与笛卡尔坐标对齐。为了评估电场,在光谱域中导出了所考虑几何形状的二进格林函数。构成格林函数的二元组基于介质的自然特征向量解。这些特征向量可以在数学上和通过几何考虑来发展。利用二进格林函数和线性算子理论,导出了各向同性区域中电场的积分方程。最后,采用渐近方法以开发辐射场的封闭形式解。

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