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In this work, we investigate the potential of gamma-ray pulsar time array(PTA) on gravitational waves background (GWB) using future gamma-ray detectorswith larger effective areas. We consider both spaceborne detectors andground-based imaging air Cherenkov telescope arrays (IACTs). We simulated thedetected photons from pulsars using the response of hypothetical detectorstaking into account the backgrounds and analyzed the sensitivities. Our resultsshowed that thanks to the higher statistics of IACTs, the PTA using IACTs canimprove significantly the performance compared with the PTA using Fermi-LATdata.

Analysis of the Gravitational Wave Background Using Gamma-Ray Pulsar Timing Arrays with Next-Generation Detectors