In this work, the dynamics of the shock wave in laser-ablated argon plume with its evolution through the background gas is explored at the atomic level. Molecular Dynamics (MD) simulations have been conducted which give the insight into atomistic scale interaction and correlation effects of the propagating shock wave in the background medium. The supersonic shock wave front carries inherent sharp increase in density, temperature, and pressure. These thermodynamic parameters of the expanding shock wave are evaluated with emphasis on the kinetics of the shock wave front. The position of the shock wave front has been defined and determined over nanoseconds. Extensive research is elaborated upon to study the inside structural evolution of the shock wave and the effect of optical absorption depth.