极磁电(EME)介质中平面波的传播
Plane-Wave Propagation in Extreme Magnetoelectric (EME) Media
摘要:
极端磁电介质(EME介质)是根据两种介质并矢来定义的,$α$通过磁场产生电极化的强度,而$β$通过电场产生磁极化。研究了有限频率固定时谐场的平面波在电磁辐射介质中的传播。证明了(如果是$ω\neq 0$)色散方程具有立方齐次形式,从而波矢$k$为零或具有任意大小.在许多情况下,没有色散方程(“NDE介质”)来限制EME介质中的波矢量。注意的情况下,两个介质并矢具有相同的特征向量集。在这种情况下,$k$向量被限制为由中并矢定义的三个本征平面。这种结果的出现是通过考虑一个更规则的介质,并采取零介电常数和磁导率的限制。详细研究了单轴电磁辐射介质的特殊情况。结果表明,当单轴电磁辐射介质的轴垂直于界面时,界面呈现为DB边界。更一般地,EME介质显示出可以通过超表面工程潜在地实现的有趣的波效应。
英文摘要:
The extreme magnetoelectric medium (EME medium) is defined in terms of two medium dyadics, $α$, producing electric polarization by the magnetic field and $β$, producing magnetic polarization by the electric field. Plane-wave propagation of time-harmonic fields of fixed finite frequency in the EME medium is studied. It is shown that (if $ω\neq 0$) the dispersion equation has a cubic and homogeneous form, whence the wave vector $k$ is either zero or has arbitrary magnitude. In many cases there is no dispersion equation ("NDE medium") to restrict the wave vector in an EME medium. Attention is paid to the case where the two medium dyadics have the same set of eigenvectors. In such a case the $k$ vector is restricted to three eigenplanes defined by the medium dyadics. The emergence of such a result is demonstrated by considering a more regular medium, and taking the limit of zero permittivity and permeability. The special case of uniaxial EME medium is studied in detail. It is shown that an interface of a uniaxial EME medium appears as a DB boundary when the axis of the medium is normal to the interface. More in general, EME media display interesting wave effects that can potentially be realized through metasurface engineering.
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