磁性超材料中局部负磁导率和观察呼吸子激发的可能性
Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials
摘要：
结果表明，由电感耦合和电容耦合的开口环谐振器构成的一维系统的长波动力学和磁特性可用正则化的非线性色散Klein-Gordon方程描述。结果发现，在这样的系统中，一个高频磁场激发动态孤子的\glqq基座\grqq -稳定的呼吸子，振荡在反相相对于背景的均匀振荡，这意味着存在的区域具有负的磁导率的系统。如果由具有负介电常数的介质补充，则这样的系统形成\glqq左手\grqq超材料，其中具有呼吸激励的区域对电磁辐射是透明的。这使得有可能通过实验观察它们。
英文摘要：
It is shown that the long-wave dynamics and magnetic properties of one-dimensional systems constructed of the inductively and capacitively coupled split-ring resonators are described by the regularized nonlinear dispersive Klein-Gordon equations. It is found that in such systems a highfrequency magnetic field excites dynamic solitons on a \glqq pedestal\grqq-stable breathers, oscillating in anti-phase with respect to the background of uniform oscillations, which means the existence of regions with a negative magnetic permeability in the system. If supplemented by a medium with negative permittivity, such a system forms a \glqq left-handed\grqq metamaterial in which the regions with the breather excitations are transparent to electromagnetic radiation. This makes it possible to observe them experimentally.
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