论文标题
光子晶体中的磁电耦合和磁化:本构方程中的高阶均质方法
Magneto-electric coupling and magnetism in photonic crystals: A high-order homogenization approach in the constitutive equations
论文作者
论文摘要
我们扩展了[Liu等人的结果。 Proc。罗伊。 Soc。伦敦。 A 469,20130240,2013]在中等对比度介电层中介质中的人造磁电耦合和磁性,通过高阶均质化与三维设置。为此,我们考虑了向量麦克斯韦系统中的渐近扩展。然后,我们说明了磁电耦合与数值模拟的效果,用于分层系统,以积极和负面的折射指数交替。我们推出双曲线行为和磁性耦合,并在[Ramakrishna等,J。Mod。光学,50,1419-1430,2003]。我们还回顾了[诺维茨基,沙林,诺维茨基,物理学的有效介质描述。 Rev. A 99,043812,2019],增加了高阶近似顺序。
We extend results of [Liu et al. Proc. Roy. Soc. Lond. A 469, 20130240, 2013] on artificial magneto-electric coupling and magnetism in moderate contrast dielectric layered media via high-order homogenization to the three-dimensional setting. For this, we consider asymptotic expansions in the vector Maxwell system. We then illustrate effect of magneto-electric coupling with numerical simulations for a layered system alternating positively and negatively refracting index. We unveil hyperbolic behaviour and magneto-electric coupling and derive a sharper estimate for the anisotropic effective medium in [Ramakrishna et al., J. Mod. Optics, 50, 1419-1430, 2003]. We also revisit the effective medium description of a PT-symmetric layered structure in [Novitsky, Shalin, Novitsky, Phys. Rev. A 99, 043812, 2019], adding higher-order approximation orders.