Abstract:On the basis of the Fowler-Nordheim theory, the weighting factor was introduced to describe the competition between the exciton Coulomb field and the external field, and the cases with variable weighting factors were numerically analyzed. The results show that the barrier is lowed by the exciton effect. In the paper, the barrier penetration probability of the exciton was strictly given by Airy functions and elliptic integrals.