Flatland Cherenkov Radiation on the Capacitive/Inductive Equivalent Impedance Surface

The Cherenkov radiation phenomenon is of particular importance in diverse devices and has been a hot topic for researchers. Recent theoretical and experimental studies have shown that there is a low-dimensional version of Cherenkov radiation, known as "flatland Cherenkov radiation," which is completely confined to a plane. Here, we design a kind of structure that contains a capacitive/inductive equivalent impedance surface and a transmission line. Since the phase velocity of the electromagnetic waves on the transmission line is faster than on the capacitive/inductive equivalent impedance surface, we can observe flatland Cherenkov radiation on the capacitive/inductive equivalent impedance surface, which indicates that flatland Cherenkov radiation can be excited in the form of TE surface waves or TM surface waves. In the simulation, we can control the direction of flatland Cherenkov radiation by adjusting the impedance of the equivalent impedance surface. The proposed structure not only gives people a deeper understanding of the phenomenon of flatland Cherenkov radiation but also has significant potential to open the way for the development of novel 2D photonic devices.