论文标题
关于在光学状态和真实折射角中金属超晶格的透射率
On the transmittance of metallic superlattices in the optical regime and the true refraction angle
论文作者
论文摘要
最近，引入了基于有限的周期系统理论的金属超级晶格方法\ cite {pereyra2020}。与大多数（如果不是全部）不同的是，在$ n \ rightarrow \ infty $限制中有效的已发表方法中，有限的周期性方法对于任何自然数字$ n $都是有效的，并允许人们确定分析表达式的散射幅度和分散关系。显示出低于$ω_{p} $和大金属层厚度的频率，即在常见的假设下，导体内部的场沿所谓的“真实”角度移动，该角度定义了恒定相位平面的方向，因此异常结果显然具有出色的效果。此处解决了此问题，结果表明，这些结果是由于缺乏单位性以及吸收和能量损失的潜在现象。这里提出了两种兼容的方法，以解决缺乏单位性并解释吸收现象。我们表明，通过保持复杂角度，完全满足了助焊剂的原理，高于$ω_p$。这种方法没有假设，使我们能够在做出实际角度假设时改善形式主义。我们表明，通过考虑到诱导电流和通量保护的需求，我们最终采用了改进的方法，并具有新的菲涅耳和传输系数，与复杂角度方法完全兼容。
Recently, an approach for metallic superlattices based on the finite periodic systems theory was introduced \cite{Pereyra2020}. Unlike most, if not all, of the published approaches that are valid in the $n \rightarrow \infty $ limit, the finite periodic approach is valid for any natural number $n$ and allows one to determine analytical expressions for scattering amplitudes and dispersion relations. It was shown, for frequencies below $ω_{p}$ and large metallic-layer thickness, that under the common assumption that fields inside conductors move along the so-called "true" angle that defines the orientation of the constant-phase planes, anomalous results appear with an apparent parity effect. This issue is addressed here and it is shown that those results are due to the lack of unitarity and the underlying phenomena of absorption and loss of energy. Two compatible approaches are presented here to solve the lack of unitarity and to account for the absorption phenomenon. We show that by keeping the complex angles, the principle of flux conservation is fully satisfied, above and below $ω_p$. This approach, free of assumptions, gives us light to improve the formalism when the real angle assumption is made. We show that by taking into account the induced currents and the requirement of flux conservation, we end up with an improved approach, with new Fresnel and transmission coefficients, fully compatible with those of the complex-angle approach.
