论文标题
单个传输线的时空调制直接引起的堕落的特殊点
Exceptional Points of Degeneracy Directly Induced by Space-Time Modulation of a Single Transmission Line
论文作者
论文摘要
我们通过将定期时空调制施加到每单位长度分布式电容中直接在单个传输线（TL）中诱导了脱落（EPDS）的特殊点（EPD）。在这样的时空调制（STM）-TL中，当系统接近EPD条件时，在其特征值（aveNumbers）和特征向量（电压 - 电流状态）中将两个本征元素合并为单个变性。 EPD条件是通过在时空调制中调整参数（例如空间或时间调制频率或调制深度）来实现的。我们明确地证明了EPD的出现，通过表明puiseux分数功率序列膨胀描述了EPD周围的波数的分叉。我们表明，一阶扩展足以近似分散图，以及STM-TL对任何TL或调制参数的微小变化的“特殊”敏感性如何使可能的应用在EPD上操作时可能作为高度敏感的TL传感器。
We demonstrate how exceptional points of degeneracy (EPDs) are induced in a single transmission line (TL) directly by applying periodic space-time modulation to the per-unit-length distributed capacitance. In such space-time modulated (STM)-TL, two eigenmodes coalesce into a single degenerate one, in their eigenvalues (wavenumbers) and eigenvectors (voltage-current states) when the system approaches the EPD condition. The EPD condition is achieved by tuning a parameter in the space-time modulation, such as spatial or temporal modulation frequency, or the modulation depth. We unequivocally demonstrate the occurrence of the EPD by showing that the bifurcation of the wavenumber around the EPD is described by the Puiseux fractional power series expansion. We show that the first order expansion is sufficient to approximate well the dispersion diagram, and how this "exceptional" sensitivity of an STM-TL to tiny changes of any TL or modulation parameter enables a possible application as a highly sensitive TL sensor when operating at an EPD.
