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arXiv physics/0503232physics.class-phphysics.gen-ph
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理想电磁导体

Perfect electromagnetic conductor

Ismo V. Lindell, Ari Sihvola

摘要:

在微分形式表示中,麦克斯韦方程组由电磁二形式和源三形式之间的简单微分关系表示,而电磁介质由两种形式之间的本构关系定义。这种关系中最简单的一种是将电磁二形式表示为彼此的标量倍数。由于其奇异的性质,相应的介质被认为是非物理的。在这项研究中,这样的介质被解释为一个双各向同性介质的四个介质参数的无限值的经典吉布斯矢量。结果表明,该介质是PEC(完美电导体)和PMC(完美磁导体)介质的推广,具有相似的性质。这就是为什么介质被标记为PEMC(完美电磁导体)。通过定义一类对偶变换,可以将PEMC介质变换为PEC或PMC介质。作为应用,研究了平面波在空气与聚碳酸酯介质界面上的反射。它示出,在一般情况下,反射波具有交叉偏振分量,这是一个明显的非互易效应。

英文摘要:

In differential-form representation, the Maxwell equations are represented by simple differential relations between the electromagnetic two-forms and source three-forms while the electromagnetic medium is defined through a constitutive relation between the two-forms. The simplest of such relations expresses the electromagnetic two-forms as scalar multiples of one another. Because of its strange properties, the corresponding medium has been considered as nonphysical. In this study such a medium is interpreted in terms of the classical Gibbsian vectors as a bi-isotropic medium with infinite values for its four medium parameters. It is shown that the medium is a generalization of both PEC (perfect electric conductor) and PMC (perfect magnetic conductor) media, with similar properties. This is why the medium is labeled as PEMC (perfect electromagnetic conductor). Defining a certain class of duality transformations, PEMC medium can be transformed to PEC or PMC media. As an application, plane-wave reflection from a planar interface of air and PEMC medium is studied. It is shown that, in general, the reflected wave has a cross-polarized component, which is a manifestly nonreciprocal effect.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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