The evaluation of electromagnetic forward radiations during the propagation of gravitational waves through the dipole field of the magnetar

The calculations of electromagnetic radiation, caused by a plane gravitational wave propagating in a magnetic dipole fields, have been performed. It is shown that a radiated electromagnetic wave has the frequency of the gravitational wave, and its amplitude is proportional to the square of that frequency. Polarization of the arising electromagnetic wave coincides with the polarization of the gravitational wave. Based on an example of how a gravitational wave propagates in a magnetar's magnetic dipole field, an evaluation of a conversion coefficient of gravitational waves into electromagnetic waves has been made: the required amplitude of a gravitational wave for on-Earth detection of electromagnetic radiation has been calculated as well. © 2018 Elsevier B.V.