Inductance extraction of superconductor structures with internal current sources

TL;DR

This paper enhances the sheet current model for superconducting circuits to include internal current sources and contacts, enabling more flexible and accurate inductance simulations of complex multilayer structures.

Contribution

It introduces new models for internal contacts and a meshing procedure that improves the simulation of superconducting circuits with internal current sources.

Findings

Able to simulate internal contacts like vias and distributed sources

Improved meshing enhances simulation accuracy and speed

Validated with typical superconducting circuit layouts

Abstract

The sheet current model underlying the software 3D-MLSI package for calculation of inductances of multilayer superconducting circuits, has been further elaborated. The developed approach permits to overcome serious limitations on the shape of the circuits layout and opens the way for simulation of internal contacts or vias between layers. Two models for internal contacts have been considered. They are a hole as a current terminal and distributed current source. Advantages of the developed approach are illustrated by calculating the spatial distribution of the superconducting current in several typical layouts of superconducting circuits. New meshing procedure permits now to implement triangulation for joint projection of all nets thus improving discrete physical model for inductance calculations of circuits made both in planarized and non-planarized fabrication processes. To speed-up triangulation and build mesh of better quality, we adopt known program "Triangle".