Ultra high frequency gravitational waves from Laguerre–Gaussian beam: a possible source in lab

The detection of gravitational waves (GW) from astrophysical sources has opened a new era in physics. However, advances in high-energy laser systems make it possible to consider gravitational waves produced in the laboratory. In this work, the angular distribution and energy flux of gravitational waves radiated by high-power Laguerre–Gaussian beams are analysed. With a power of \(10^{22}~\text {W}/\text {cm}^2\) and frequency of \(10^{15}\) Hz for the LG beams, the radiated GW frequency is twice the laser frequency and the maximal GW amplitude can reach \(10^{-34},\) which is quite small compared with the current detection threshold of around \(10^{-21}\) by LIGO. It is shown in Ejlli et al. (Eur Phys J C 79:1032, 2019) that the inverse Gertsenshtein effect is able to detect ultra high frequency gravitational wave with frequency up to \(10^{15}\) Hz and strain around \(10^{-30},\) which may provide a viable way to measure gravitational waves produced by high-power lasers in the future.