Executive Summary : | The project focuses on studying Rayleigh wave interaction with the free surface of half-space, which acts as a metasurface, controlling seismic wave vibration by manipulating wave behavior. Metasurfaces are modelled using local or periodic arrays of resonators placed over an elastic substrate. A theoretical model is proposed based on the metasurface's structure, and displacements are derived using mathematical techniques like integral transformations, quasi-periodic Green's functions, or eigenvalue approach. The study also examines the effect of substrate and resonator mechanical parameters on bandgaps and compares studies to obtain novel results. More rhetorical models are developed for the elastic substrate to make the model more practical. Numerical techniques like the Finite Element Method and Finite Difference Method are used to simulate hybridization of Rayleigh waves near the resonant frequency. Wave-related phenomena like mode-conversion, wave-guiding, energy trapping, rainbow effects, and lensing are examined to develop devices for ground-borne vibrations, energy harvesting, and signal processing technologies based on surface acoustic waves (SAWs). |