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

TL;DR

This paper explores the theoretical foundations of an accelerator-based gravitational wave amplifier, deriving key parameters and considering its small-gain operation mode without electromagnetic effects.

Contribution

It introduces the gravitational analogue of Madey's theorem and derives fundamental amplifier quantities for the first time.

Findings

Derived the resonance wavelength and gain length for the amplifier.

Established the gravitational Madey theorem as a foundational principle.

Analyzed the small-gain operation mode of the 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.