Magnetic penetration depth and vortex structure in anharmonic superconducting junctions with an interfacial pair breaking

The penetration depth ${l}_{\mathrm{j}}$ in superconducting junctions is identified within the Ginzburg-Landau theory as a function of the interfacial pair breaking, of the magnetic field, and of the Josephson coupling strength. When the interfacial pair breaking goes up, ${l}_{\mathrm{j}}$ increases and an applicability of the local Josephson electrodynamics to junctions with a strong Josephson coupling is extended. In the junctions with strongly anharmonic current-phase relations, the magnetic field dependence of ${l}_{\mathrm{j}}$ is shown to lead to a significant difference between the weak-field penetration depth and the characteristic size of the Josephson vortex. For such junctions a nonmonotonic dependence of ${l}_{\mathrm{j}}$ and of the lower critical field on the Josephson coupling constant is found, and the specific features of spatial profiles of the supercurrent and the magnetic field in the Josephson vortex are established.