Coupled dynamics of a wave and moving boundary

I present the dynamics of waves trapped in a one-dimensional cavity with a single wall that can move as a result of radiation pressure (and possibly other external forces). Specifically, the classical wave equation is considered and the phenomenology of this system is outlined when the moving boundary achieves large displacements and velocities similar to the one of the waves. Governing equations are derived in the context of electromagnetism, and a spatial discretization that conserves the total energy is proposed. I address cases when the dynamics of the boundary are prescribed or critically damped. Finally, numerical simulations are performed to obtain qualitative results for the conservative limit.