Electrodynamics of Accelerated-Modulation Space-Time Metamaterials

Space-time-varying metamaterials based on uniform-velocity modulation have spurred considerable interest over the past decade. We present here an extensive investigation of accelerated-modulation space-time metamaterials. Using the tools of general relativity, we establish their electrodynamic principles and describe their fundamental phenomena, in comparison with the physics of moving-matter media. We show that an electromagnetic beam propagating in an accelerated-modulation metamaterial is bent in its course, which reveals that such a medium curves space-time for light, similarly to gravitation. Finally, we illustrate the vast potential diversity of accelerated-modulation metamaterial by demonstrating related Schwarzschild holes.