The dynamical Casimir effect for different geometries

We consider the problem of motion-induced photon creation from quantum vacuum inside closed, perfectly conducting cavities with time-dependent geometries. These include one-dimensional Fabry-Perot resonators with Dirichlet or Neumann boundary conditions,. three-dimensional cylindrical waveguides, and a spherical shell. The number of Casimir TE, TM and TEM photons is computed. We also present a classical mechanical analogue of the one-dimensional dynamical Casimir effect.