二维排斥磁体晶格中的非线性谐波产生
Nonlinear harmonic generation in two-dimensional lattices of repulsive magnets
摘要：
在这封信中，我们提供了实验证据的非线性波传播的排斥磁铁的三角形晶格支持的弹性基础薄柱，我们解释所有的个别功能的非线性波场通过透镜的声子带计算，精确地占粒子间的排斥力。我们确认两个光谱上不同的组件（均匀和强制）的波响应，是通过二次谐波产生（SHG），一个众所周知的二次非线性效应（这里嵌入在磁相互作用）引起的共存。我们表明，二次谐波分量的模式和空间特性是互补的基波所表现出的。这赋予晶格功能性富集能力，由此仅通过增加激励的幅度就可以触发和调谐附加模式和方向性图案。
英文摘要：
In this Letter, we provide experimental evidence of nonlinear wave propagation in a triangular lattice of repulsive magnets supported by an elastic foundation of thin pillars and we interpret all the individual features of the nonlinear wavefield through the lens of a phonon band calculation that precisely accounts for the inter-particle repulsive forces. We confirm the co-existence of two spectrally distinct components (homogeneous and forced) in the wave response that is induced via second harmonic generation (SHG), a well-known effect of quadratic nonlinearity (here embedded in the magnetic interaction). We show that the modal and spatial characteristics of the second harmonic components are complementary to those exhibited by the fundamental harmonic. This endows the lattice with a functionality enrichment capability, whereby additional modes and directivity patterns can be triggered and tuned by merely increasing the amplitude of excitation.
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