论文标题
观察非线性倾斜电路中的cNOIDAL波定位
Observation of cnoidal wave localization in non-linear topolectric circuits
论文作者
论文摘要
我们观察到电路网络中的局部cNoidal（LCN）状态。它的形成源自非线性的相互作用和su-schrieffer-heeger（SSH）电感器链固有的拓扑结构。 Varicap二极管充当电压依赖的电容器，并产生非线性的现场电势。对于围绕MIDGAP频率的正弦电压激发，我们表明非线性SSH电路中的电压响应遵循Korteweg-De Vries方程。拓扑SSH边界状态与线性限制中的MidGAP阻抗峰有关，在非线性偏心率从边缘到块状降低的非线性偏心率在非线性偏心率下被扭曲为LCN状态。
We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation derives from the interplay of non-linearity and the topology inherent to a Su-Schrieffer-Heeger (SSH) chain of inductors. Varicap diodes act as voltage-dependent capacitors, and create a non-linear on-site potential. For a sinusoidal voltage excitation around midgap frequency, we show that the voltage response in the non-linear SSH circuit follows the Korteweg-de Vries equation. The topological SSH boundary state which relates to a midgap impedance peak in the linearized limit is distorted into the LCn state in the non-linear regime, where the cnoidal eccentricity decreases from edge to bulk.
