Long-range electrostatic forces in periodic structures: The development of adjustable wave filters

In this work, we examine the effects of electrostatic forces on wave propagation in periodic structures. The research explores how these structures, a type of metamaterial, can have their vibrational characteristics altered by interactions that are non-local. In this work, it is demonstrated how electrostatic forces influence dispersion curves and the resultant metamaterial properties. These findings have implications for developing tunable metamaterials, with potential applications in various fields, such as tunable wave-beaming devices and filters. This research contributes to a deeper understanding of the complex interactions in metamaterials and their practical applications.