In superconductivity, a Josephson vortex is a quantum vortex of supercurrents in a Josephson junction. The supercurrents circulate around the vortex center which is situated inside the Josephson barrier, unlike Abrikosov vortices in type-II superconductors, which are located in the superconducting condensate. Abrikosov vortices in superconductors are characterized by normal cores where the superconducting condensate is destroyed on a scale of the superconducting coherence lengthξ . The cores of Josephson vortices are more complex and depend on the physicalnature of the barrier. In Superconductor-Normal Metal-Superconductor Josephson junctionsthere exist measurable superconducting correlations induced in the N-barrier by proximity effect from the two neighbouring superconducting electrodes. Similarly to Abrikosov vortices in superconductors, Josephson vortices in SNS Josephson junctions are characterized by cores in which the correlations are suppressed by destructive quantum interference and the normal state is recovered. However, unlike Abrikosov cores, having a size ~ξ, the size of the Josephson ones is not defined by microscopic parameters only. Rather, it depends on supercurrents circulating in superconducting electrodes, applied magnetic field etc. In Superconductor-Insulator-SuperconductorJosephson tunnel junctions the cores are not expected to have a specificspectral signature; they were not observed. Usually the Josephson vortex's supercurrentloops create a magnetic flux which equals, in long enough Josephson junctions, to Φ0—a single flux quantum. Yetfractional vortices may also exist in Superconductor-Ferromagnet-Superconductor Josephson junctions or in junctions in which superconducting phase discontinuities are present. It was demonstrated by Hilgenkamp et al. that Josephson vortices in the so-called 0-πLong Josephson Junctions can also carry half of the flux quantum, and are called semifluxons. It has been shown that under certain conditions a propagating Josephson vortex can initiate another Josephson vortex. This effect is called flux cloning. Although a second vortex appears, this does not violate the conservation of the single flux quantum.