It is of interest to determine the exit angle of a vortex from a superconductor surface, since this affects the intervortex interactions and their consequences. Two ways to determine this angle are to image the vortex magnetic fields above the surface, or the vortex core shape at the surface. In this work we evaluate the field $\mathit{h}(x,y,z)$ above a flat superconducting surface $x,y$ and the currents $\mathit{J}(x,y)$ at that surface for a straight vortex tilted relative to the normal to the surface, for both the isotropic and anisotropic cases. In principle, these results can be used to determine the vortex exit tilt angle from analyses of magnetic field imaging or density of states data.

中文翻译：

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确定涡旋相对于超导体表面的倾斜度

确定涡旋从超导体表面的出射角是令人感兴趣的，因为这会影响涡旋间的相互作用及其后果。确定该角度的两种方法是在表面上方成像涡流磁场，或者在表面成像涡流核形状。在这项工作中，我们评估了该领域$\mathit{H}（X，ÿ，ž）$ 在平坦的超导表面之上 $X，ÿ$ 和潮流 $\mathit{Ĵ}（X，ÿ）$在各向同性和各向异性情况下，相对于表面法线倾斜的笔直涡旋在该表面处都是不均匀的。原则上，这些结果可用于通过磁场成像或状态密度数据的分析来确定涡旋出口倾斜角。