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Extreme electromagnetic boundary conditions and their manifestation at the inner surfaces of spherical and cylindrical cloaks

机译：球形和圆柱形披风内表面的极端电磁边界条件及其表现

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摘要

Generalized electromagnetic boundary conditions are derived for interfaces containing surface layers of electric and magnetic polarization. Next, the singularities in the fields and polarization densities at the inner surfaces of spherical and circular cylindrical cloaks illuminated by sources inside the cavities of the cloaks are determined from a plane-wave analysis of fields incident on a half space of material characterized by a relative permittivity-permeability dyadic equal to that of the inner material surfaces of the cloaks. Lastly, these singular fields and polarization densities are shown to satisfy the generalized boundary conditions. For sources inside the cloak cavities, it is found that the inner surfaces of spherical cloaks, unlike the inner surfaces of cylindrical cloaks, behave as " DB boundaries" at which n?{dot operator}D and n?{dot operator}B are zero.
机译：对于包含电和磁极化的表面层的界面，导出了广义的电磁边界条件。接下来，通过对入射在半个空间材料上的场进行平面波分析，确定由隐身腔内部的光源照射的球形和圆柱形隐身的场中的奇异性以及在球形和圆形隐身的内表面上的极化密度。介电常数-渗透率与披风的内部材料表面相等。最后，这些奇异场和极化密度显示为满足广义边界条件。对于隐身腔内部的震源，发现球形隐身的内表面与圆柱形隐身的内表面不同，它们表现为“ DB边界”，其中n？{点算子} D和n？{点算子} B为零。

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