Generation of high frequency gravitational waves

Abstract

An electric charge shaken in an homogeneous stationary magnetic field produces both electromagnetic and gravitational waves (Gertsenshtein waves). We first study this process in a homogeneous medium with a refractive index n, expressing the gravitational wave as a simple functional of the electromagnetic field. Then, an inhomogeneous dielectric is considered: under certain conditions, the diffraction of a plane electromagnetic wave by a small dielectric sphere produces a promising gravitational energy flux.