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Useful Solutions for the Plane Wave Diffraction by a Configuration of Dielectric and Metallic Acute-Angled Wedges

机译:通过电介质和金属锐尖楔形的平面波衍射的有用解决方案

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摘要

The plane wave diffraction by a two-dimensional composite wedge is considered and solutions in the high-frequency framework as well as in the time domain are proposed by using a well-assessed theoretical approach. The considered structure is surrounded by the free space and composed of two acute-angled infinite wedges: a lossless dielectric wedge surmounts a metallic wedge. Accordingly, the observation domain consists of the free space and the dielectric region. For each observation sub-domain, the high-frequency diffracted field is evaluated by implementing an analytical procedure that is based on the physical optics approximation of the involved surface currents, i.e., the electric and magnetic equivalent current densities over the free space / dielectric boundary and the electric surface current over the metallic faces. Such current densities are the sources of the scattered electric field in the considered sub-domain. Useful approximations and integral evaluations permit to apply an asymptotic technique to the corresponding radiation integral in order to extract the diffraction contribution. The expressions of the associated diffraction coefficients can be used in the context of the uniform geometrical theory of diffraction and are easy to compute. Then the time domain counterparts are determined by applying the inverse Laplace transform and their expressions are in simple closed form, too. At the best of the authors' knowledge, other time domain solutions are unavailable in literature and this makes the results of this work even more interesting. The validation by means of an appreciated full-wave numerical technique enhances the importance of the proposal.
机译:考虑了二维复合楔的平面波衍射,并通过使用良好评估的理论方法提出了高频框架以及时域中的溶液。所考虑的结构被自由空间包围,由两个锐角无限楔形组成:无损电介质楔子超越金属楔形物。因此,观察结构域包括自由空间和介电区域。对于每个观察子域,通过实现基于所涉及的表面电流的物理光学逼近的分析过程,即,自由空间/介电边界上的电气和磁性等效电流密度来评估高频衍射场。和金属面上的电表面电流。这种电流密度是所考虑的子域中的散射电场的来源。有用的近似和积分评估允许将渐近技术应用于相应的辐射积分以提取衍射贡献。相关衍射系数的表达可以在衍射均匀几何理论的上下文中使用,并且易于计算。然后通过应用逆拉普拉斯变换来确定时域对应物,并且它们的表达式也是简单的封闭形式。在作者的知识中,其他时间域解决方案在文献中不可用,这使得这项工作的结果更有趣。通过欣赏的全波数技术验证提高了提案的重要性。

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