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The influence of pores filled with a dielectric, in particular hydrogen, on the current of field electron emission from the structural materials of accelerator structures was studied. A review of the literature shows that pores can form in the near-surface layer in which dielectric, in particular hydrogen, can accumulate. Therefore, the study of the influence of dielectric inclusions in the metal surface layer is important and needs to be studied. The theoretical model of the potential barrier for the metal-dielectric-metal-vacuum system was constructed. An analytical expression for the electron tunneling coefficient from the metal was found. It is shown that the current has a resonant character and in the resonant region can be amplified up to 4 times compared to the current from the region without such pores. It is also worth noting that in the case when the pore thickness is d>0.2 nm, a decrease in the field electron emission current will be observed regardless of their depth. At the same time, the resonance region increases with the increase of the affinity energy.
