The so-called electromagnetic proximity effect manifests itself as the long-range leakage of the magnetic field from a ferromagnet (F) to a superconductor (S), which is in electrical contact with the ferromagnet. In the present paper, we study the proximity-induced supercurrent and magnetic field in S/F bilayer systems with an in-plane inhomogeneous ferromagnet. We find that at the S/F interface a spontaneous surface current appears which is perpendicular to the local in-plane magnetization. In this sense, S/F bilayers with a metallic ferromagnet mimic similar systems with an insulating ferromagnet, where a surface current appears due to the interplay of the exchange field and Rashba spin-orbit coupling. We consider three geometrical configurations of the ferromagnet: a uniformly magnetized strip, an infinite slab with two domains and a Néel wall between them, and a ferromagnetic disk with a magnetization vortex. It is found that the proximity effect in the magnetic strip geometry induces a magnetic field outside the ferromagnet (which vanishes in the absence of proximity coupling between S and F), and in the other two geometries it enhances the magnetic field far from the domain wall or the core of the magnetic vortex. Possible experimental methods to probe the described features are discussed.

所谓的电磁邻近效应表现为磁场从铁磁体 (F) 到与铁磁体电接触的超导体 (S) 的远距离泄漏。在本文中，我们研究了具有平面内非均匀铁磁体的 S/F 双层系统中的邻近感应超电流和磁场。我们发现在 S/F 界面处出现了与局部面内磁化垂直的自发表面电流。从这个意义上说，具有金属铁磁体的 S/F 双层模拟了具有绝缘铁磁体的类似系统，其中由于交换场和 Rashba 自旋轨道耦合的相互作用而出现表面电流。我们考虑铁磁体的三种几何结构：均匀磁化条带，具有两个畴的无限平板和它们之间的 Néel 壁，以及具有磁化涡旋的铁磁盘。发现磁条几何形状中的邻近效应在铁磁体外部感应出磁场（在 S 和 F 之间没有邻近耦合的情况下消失），而在其他两种几何形状中，它增强了远离畴壁的磁场或磁涡旋的核心。讨论了探索所描述特征的可能实验方法。在其他两种几何形状中，它增强了远离畴壁或磁涡核心的磁场。讨论了探索所描述特征的可能实验方法。在其他两种几何形状中，它增强了远离畴壁或磁涡核心的磁场。讨论了探索所描述特征的可能实验方法。