论文标题
无限的交流阶梯,带有“扭曲”
Infinite AC Ladder with a "Twist"
论文作者
论文摘要
无限的交流阶梯网络可以表现出意外的行为。直接数值调查发现,纠缠拓扑会带来更多的惊喜。我们考虑对梯子拓扑的简单修改,并使用线性代数解释复杂阻抗的数值结果。网络大小的无穷大限制对应于将传输矩阵的特征向量保持在具有最大特征值的传输矩阵,这可以看作是通过网络传播的最主要的电气信息模式。
The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple modification of the ladder topology and explain the numerical result for the complex impedance, using linear algebra. The infinity limit of the network's size corresponds to keeping only the eigenvectors of the transmission matrix with the largest eigenvalues, which can be viewed as the most dominant modes of electrical information that propagate through the network.