论文标题
排斥磁铁的二维晶格中的非线性谐波产生
Nonlinear harmonic generation in two-dimensional lattices of repulsive magnets
论文作者
论文摘要
在这封信中，我们提供了由薄柱的弹性基础支撑的排斥磁体的三角形晶格中非线性波传播的实验证据，我们通过声音带计算的镜头来解释非线性波场的所有个体特征，这些镜头准确地说明了粒子间排斥力。我们证实了通过第二次谐波产生（SHG）诱导的两个频谱不同的成分（同质和强迫）的共存，这是二次非线性的众所周知的效应（此处嵌入了磁相互作用）。我们表明，第二个谐波组件的模态和空间特征与基本谐波所表现出的谐波互补。这赋予了晶格的功能丰富能力，从而可以通过仅增加激发幅度来触发和调整其他模式和方向性模式。
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.
