Zeroth-order considerations on an accelerator-based gravitational wave amplifier

Abstract

The operation of an accelerator-based gravitational wave amplifier has been studied, taking into account the interaction between beam and gravitational wave and neglecting all effects related to the emission of - and interaction with electromagnetic radiation. The small-gain operation mode has been considered. The gravitational counterpart of the Madey theorem as well some basic amplifier quantities as resonance wavelength, amplifier gain and gain length have been derived.