Vortices in stratified superconductors: Application to magnetic force microscopy

For stratified media including type-II superconducting layers, we obtain static vortex solutions of interest to magnetic force microscopy. We derive these solutions for both three-dimensional (3D) and 2D (pancake) vortices, using Fourier transformation and convolution. Our convenient formalism directly solves for the magnetic field. We are able to include arbitrary vorticities of exponential order for half-space problems. We show that the corresponding magnetic field Greens functions can be put into closed form and obtain analytic results for field and force components.