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arXiv 1805.06809physics.comp-phphysics.optics
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单交叉各向异性超表面吸收边界条件(ABC)

Mono-cross-anisotropic Metasurface Absorbing Boundary Condition (ABC)

Xiao Jia, Guillaume Lavigne, Christophe Caloz, Fan Yang

摘要:

我们引入了超表面吸收边界条件的概念。这是元表面技术在计算电磁学中的首次应用。MS-ABCs具有与先前报道的表面ABCs类似的性能,但它们提供了更丰富的吸收描述,即独立于入射波,并通过双各向异性可吸收性更深入地了解物理学。使用GSTC合成来合成MS-ABC磁化率,从中发现超表面是单交叉各向异性的,即仅具有非零的电-磁和磁-电耦合磁化率张量,这在物理上是不可能的,但在数值上是完全合适的。此外,它被发现的元表面是不对称的,被放大在相反的方向上的基本利用作为ABC。MS-ABC是在GSTC-FDTD方案中实现的,该方案首次通过驻留在规则Yee网格上的直接表面极化电流来取代虚拟网格的概念。

英文摘要:

We introduce the concept of Metasurface Absorbing-Boundary Condition (MS-ABC). This represents the first application of metasurface technology to computational electromagnetics. MS-ABCs have similar performance as previously reported surface ABCs, but they provide a richer description of absorption, that is independent from the incident wave, and deeper insight into the physics, through bianisotropic susceptibilities. The MS-ABC susceptibilities are synthesized using GSTC synthesis, from which the metasurface is found to be mono-cross-anisotropic, i.e. having only electric-to-magnetic and magnetic-to-electric coupling susceptibility tensors being non-zero, which is physically impossible, but numerically perfectly appropriate. Moreover, it is found that the metasurface is asymmetric, being amplifying in the opposite direction of its basic utilization as an ABC. The MS-ABC is implemented in a GSTC-FDTD scheme, which, for the first time, replaces the virtual grid concept by straightforward surface polarization currents residing on the regular Yee grid.

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