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RADIATION OF HERTZIAN DIPOLES EMBEDDED IN PLANARLY LAYERED BIAXIAL MEDIA

机译:平面分层双轴媒体覆盖赫兹偶联的辐射

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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:本文提出的工作涉及确定任意定向的赫兹偶联的远场辐射模式。该来源存在于多层平面结构的任意取向的双轴层内,其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的几何形状的二元绿色的功能。构成绿色功能的二元基于介质的天然特征求解溶液。这些特征向量可以通过几何考虑来开发数学和几何考虑。使用Dyadic Green的功能和线性操作员理论,推导出各向同性区域中电场的整体方程。最后,应用渐近方法,以便为辐射场开发闭合形式的溶液。

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