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Geometrically-conformal EM horizons and PML media

机译:几何保形的EM层和PML介质

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摘要

Based on recent mathematical analysis of cylindrical and spherical convex geometries, we argue for the efficacy of an electromagnetic (EM) horizon in facilitating the definition of material blueprints corresponding to more general (doubly-curved) geometrically-conformal convex reflectionless EM wave absorbers (i.e., Perfectly Matched Layer [PML] media). As the EM horizon, which surrounds the PML absorber core, precludes interaction between the embedded absorber and externally-incident radiation, energy conservation would not be violated. We conclude that primitively causal, passive, and convex-conformal PMLs of general doubly-curved geometry cannot be prescribed at the blueprint level to possess non-trivial absorption capability.
机译:基于最近对圆柱和球形凸几何形状的数学分析,我们认为电磁(EM)层有助于简化与更通用(双弯曲)几何共形凸无反射EM波吸收器(即,完全匹配层[PML]媒体)。由于围绕PML吸收器芯的EM层排除了嵌入式吸收器与外部入射辐射之间的相互作用,因此不会违反节能要求。我们得出的结论是,不能在蓝图级别规定具有一般双曲线几何形状的原始因果,被动和凸形保形PML,以具有非平凡的吸收能力。

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