Electromagnetic antennas for the resonant detection of the stochastic gravitational wave background

Some stochastic gravitational wave background models from the early Universe has a cutoff frequency close to 100 MHz, due to the horizon of the inflationary phase. To detect gravitational waves at such frequencies, resonant electromagnetic cavities are very suitable. In this work, we study the expected frequency response of such detectors using a brand new approach, and show how we could use them to probe this cutoff frequency and also the energy density per frequency of this stochastic background. This paper paves the way for further experimental studies to probe the most ancient relic of the Universe.