Abstract We study the γ-ray emission from the pulsar magnetosphere based on outer gap models, and the TeV radiation from pulsar wind nebulae (PWNe) through inverse Compton scattering using a one-zone model. We carry out Monte Carlo simulations of γ-ray pulsars in the Galaxy and the Gould Belt, assuming values for the pulsar birth rate, initial position, proper motion velocity, period, and magnetic field distribution and evolution based on observational statistics. We select from the simulation a sample of 44 mature pulsars in the Galactic plane (|b|≤5°) and a sample of 32 mature pulsars at high latitudes (|b|>5°) which could be detected by EGRET. About 12 mature pulsar could be observed in the radio band. The results showed that GeV radiation from the magnetosphere of mature pulsars can contribute to the high latitude unidentified EGRET sources. The TeV fluxes from the pulsar wind nebulae of our simulated sample produced through inverse Compton scattering by relativistic electrons on the cosmic microwave background and synchrotron seed photons are calculated. We suggest that strong EGRET sources may be potential TeV source candidates, and up to 15 sources could be detected by present and future three-generation TeV telescopes if they are mature pulsars.
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