Abstract
The critical and quasiparticle currents through Josephson tunnel junction are calculated on the basis of the microscopic approach in the case of weak external magnetic field ( H \ll H_{C2} ) trapping in the form of single vortices. The following situations are considered: 1) single vortex localized in one electrode; 2) one or a number of pairs of misaligned vortices localized in both electrodes with their locations depending on the value and spatial distribution of pinning forces in superconducting films. In both cases quasiparticle current depends only on the densities of states in the vortex cores and is numerically calculated in the whole temperature range 0 C . For all values of T thers are pronounced peaks on dI q /dV curves at voltage V=Δ/e. In contrast the critical current is influenced mainly by magnetic field distribution in the junction area. The suppression of total critical current is evaluated for various vortex configurations in the junction.
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