SuperScreen: An open-source package for simulating the magnetic response of two-dimensional superconducting devices

Quantitative understanding of the spatial distribution of magnetic fields and Meissner screening currents in two-dimensional (2D) superconductors and mesoscopic thin film superconducting devices is critical to interpreting the results of magnetic measurements of such systems. Here, we introduce SuperScreen, an open-source Python package for simulating the response of 2D superconductors to trapped flux and applied time-independent or quasi-DC magnetic fields for any value of the effective magnetic penetration depth, Λ. Given an applied magnetic field, SuperScreen solves the 2D London equation using an efficient matrix inversion method [1], [2] to obtain the Meissner currents and magnetic fields in and around structures composed of one or more superconducting thin films of arbitrary geometry. SuperScreen can be used to model screening effects and calculate self- and mutual-inductance in thin film superconducting devices.

定量理解二维（2D）超导体及介观薄膜超导器件中的磁场与迈斯纳（Meissner）屏蔽电流的空间分布，对于解读此类体系的磁测量结果至关重要。本研究介绍了SuperScreen这一开源Python软件包，可用于模拟二维（2D）超导体对俘获磁通以及外加恒定或准直流磁场的响应，适配任意有效磁穿透深度Λ的取值。当给定外加磁场时，SuperScreen通过高效的矩阵求逆方法[1][2]求解二维伦敦（London）方程，以获取由任意几何形状的单块或多块超导薄膜构成的结构内部及周围的迈斯纳电流与磁场分布。该软件包还可用于模拟薄膜超导器件中的屏蔽效应，并计算其自感与互感。