Electromagnetic pinning of vortices on different types of defects

We consider the general case of vortex interaction with elliptic hollow cylinder at a distances smaller than the London penetration depth. For the first time, the analytical solution of this problem is obtained, which permits us to treat the case of a vortex near the insulating strip of finite length inside the superconductor. Our results are applicable to superconducting films with regular arrays of defects like elliptic holes (antidots) or segments (antisegments). It turns out that the interaction is basically governed by the largest dimension of the defect. We analyze how the collection of defects weakens the intervortex interaction and makes it anisotropic. The solution of the problem of vortex interaction with a cylindrical hole in anisotropic superconductor is obtained as well. Finally, we demonstrate how the surface defects suppress the field of the vortex entrance. This effect is very important for layered superconductors.