磁性超材料中的磁感应呼吸子
Magnetoinductive breathers in magnetic metamaterials
摘要：
数值研究了由开口环谐振器（SRR）周期性阵列组成的一维和二维磁性超材料（MagneticMetamaterials，简称磁超材料）中离散呼吸子（DBs）的存在性和稳定性。我们考虑不同的配置的SRR阵列，这是相关的MM中的SRR的相对取向，无论是在一个和两个空间维度。在后一种情况下，我们也考虑各向异性的。使用标准的数值方法，我们构建了几种类型的线性稳定的呼吸激发在哈密顿和耗散耗散（耗散呼吸）。在这两种情况下的稳定性研究是使用标准Floquet分析进行的。在这两种情况下，我们发现，从一个到两个空间维度的维度的增加不会破坏DBs，这也可能存在于中等各向异性的情况下（在两个维度）。在耗散磁致伸缩中，动力学由主要欧姆耗散和由交变磁场驱动之间的功率平衡支配。在这种情况下，它表明，DB激发局部改变的磁响应的顺磁性的反磁性的。此外，当所施加的场的频率接近SRR谐振频率时，DB激励区域中的MM的磁响应甚至可以变为负的（极端抗磁性）。
英文摘要：
The existence and stability of discrete breathers (DBs) in one-dimensional and two-dimensional magnetic metamaterials (MMs), which consist of periodic arrangem ents (arrays) of split-ring resonators (SRRs), is investigated numerically. We consider different configurations of the SRR arrays, which are related to the relative orientation of the SRRs in the MM, both in one and two spatial dimensions. In the latter case we also consider anisotropic MMs. Using standard numerical methods we construct several types of linearly stable breather excitations both in Hamiltonian and dissipative MMs (dissipative breathers). The study of stability in both cases is performed using standard Floquet analysi s. In both cases we found that the increase of dimensionality from one to two spatial dimensions does not destroy the DBs, which may also exist in the case of moderate anisotropy (in two dimensions). In dissipative MMs, the dynamics is governed by a power balance between the mainly Ohmic dissipation and driving by an alternating magnetic field. In that case it is demonstrated that DB excitation locally alters the magnetic response of MMs from paramagnetic to diamagnetic. Moreover, when the frequency of the applied field approaches the SRR resonance frequency, the magnetic response of the MM in the region of the DB excitation may even become negative (extreme diamagnetic).
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