Josephson junction in superconductor circuits and metamaterials is modeled as a tunable inductance. The Josephson inductance is tunable by the bias current passing through it and can be tuned from an initial value to a very large value as much as one can push bias current near the critical current but not exceeding it. Tunability by bias current allows design of programmable metamaterials with flexible functions in microwave regime. In High-Temperature Superconductivity (HTS) tunable metamaterials, Josephson junctions should be used in series configuration to give usable tunable inductance. Each Step-Edge Josephson junction (SEJs) in HTS has a critical current that is dependent on its geometrical dimensions such as the width of the junction. In a practical fabrication process, the widths and critical currents will be distributed with a Gaussian Probability Distribution Function (PDF). This will decrease the tunability of the Josephson inductance of the array. We have calculated the tunability of an array with defined critical current distribution, in terms of probabilistic analysis.

超导体电路和超材料中的约瑟夫森结被建模为可调电感。约瑟夫森电感可以通过流过它的偏置电流来调节，并且可以将其从初始值调谐到非常大的值，就像可以将偏置电流推向临界电流但不超过临界电流一样。通过偏置电流的可调谐性允许设计具有微波功能的灵活功能的可编程超材料。在高温超导（HTS）可调超材料中，应将Josephson结串联使用，以提供可用的可调电感。HTS中的每个阶跃边约瑟夫逊结（SEJ）都有一个临界电流，该电流取决于其几何尺寸，例如结的宽度。在实际的制造过程中 宽度和临界电流将通过高斯概率分布函数（PDF）进行分布。这将降低阵列的约瑟夫森电感的可调性。根据概率分析，我们已经计算了具有定义的临界电流分布的阵列的可调性。