SuperVoxHenry: Tucker-Enhanced and FFT-Accelerated Inductance Extraction for Voxelized Superconducting Structures

This article introduces SuperVoxHenry, an inductance extraction simulator for analyzing voxelized superconducting structures. SuperVoxHenry extends the capabilities of the inductance extractor VoxHenry for analyzing the superconducting structures by incorporating the following enhancements. First, SuperVoxHenry utilizes a two-fluid model to account for normal currents and supercurrents. Second, SuperVoxHenry introduces the Tucker decompositions to reduce the memory requirement of circulant tensors as well as the setup time of the simulator. Finally, SuperVoxHenry incorporates an aggregation-based algebraic multigrid technique to obtain the sparse preconditioner. With these enhancements, SuperVoxHenry allows extracting the inductance of large-scale superconducting structures on a desktop computer. The accuracy, efficiency, and applicability of the proposed SuperVoxHenry have been demonstrated through the inductance extraction of various superconducting structures, including superconducting thin film inductors, a sharp bend, as well as a subsystem of an energy-efficient single flux quantum circuit.