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The currents and field distributions of a vortex in a thin superconductingstrip of a width $W$ is considered. It is shown that unlike infinite filmswhere the vortex field crosses the film only in one direction (say, from thehalf-space under the film to the half-space above it), in strips (as well as infinite size film samples of any shape) the field lines go back to the lowerhalf-space not only out of the sample but also through certain strip parts. Thestrip patches where the magnetic lines ``dive" back to the space under thestrip are situated mostly near the strip edges at the strip and out of it. Themagnetic flux through the strip associated with the vortex is shown to be lessthan the flux quantum and depends on the vortex position. The suppression ofthe vortex flux is strong in narrow strips with $W<<\Lambda=2\lambda^2/d$ where$\lambda$ is the bulk London penetration depth and $d$ is the film thickness.The vortex energy scales roughly with $W/\Lambda$ and depends on vortexposition.

Vortex in superconducting thin-film strips of arbitrary width