AI 中文总结
研究含非线性效应等的平面电磁系统用于描述新型平面超材料，推导其本构关系，分析色散关系与相关参数的联系，发现仅背景磁场时其对介电函数和空间色散无贡献。
AI 中文摘要
本文致力于研究一个包含非线性效应、真空德布罗意 - 普罗卡和陈 - 西蒙斯质量项的平面电磁系统的物理特性，该系统可用于描述可能适用于技术应用的新型平面超材料。我们观察到由非线性产生的空间色散分布所引发的有趣效应，这将三维量子电动力学真空表征为非局域超材料。推导了本构关系，超材料的介电函数因陈 - 西蒙斯质量而呈现空间色散。分析了色散关系与外加电磁场以及德布罗意 - 普罗卡和陈 - 西蒙斯质量参数的关系。还注意到在仅存在背景磁场的特殊情况下，该磁场对介电函数和空间色散分布均无贡献，这与同时存在电场和磁场时的情况相同。
英文摘要
The present work pursues the investigation of the physics of a planar electromagnetic system incorporating nonlinear effects, as well as de Broglie-Proca and Chern-Simons mass terms in vacuum, which can be tuned to describe new planar metamaterials (MTMs) potentially suitable for technological applications. As a result, we observe interesting effects generated by a spatially dispersive profile that emerges from non-linearity. This characterizes the three-dimensional QED vacuum as a nonlocal metamaterial. The constitutive relations are derived, and the dielectric function of the metamaterial (MTM) exhibits spatial dispersion due to the Chern-Simons mass. The dispersion relations are analyzed in terms of applied external electromagnetic fields and both the de Broglie-Proca and Chern-Simons mass parameters. We also notice that, in the special case in which only a background magnetic field is present, this field gives no contribution neither to the dielectric function nor to the spatial dispersion profile, as is the case when both the electric and magnetic fields are present.
Comments8 pages, 3 figures
