Browsing by Author "Jackman, Kyle"
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- ItemFast multi-core CEM solvers and flux trapping analysis for superconducting structures(Stellenbosch : Stellenbosch University, 2018-03) Jackman, Kyle; Fourie, Coenrad; Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering.ENGLISH ABSTRACT: The dissertation presents the development of a numerical field solver, called TetraHenry (TTH), for inductance extraction and flux trapping analysis of superconducting integrated circuits. The solver uses tetrahedral elements to model multidirectional current flow in complex three-dimensional superconducting volumes; whereas two dimensional triangular elements are used for sheet currents in thin superconducting films. Triangular meshing significantly reduces the number of unknowns and provides the capability to analyse chipscale superconducting layouts. Support for piecewise homogenous dielectric materials are implemented, which enables frequency-depended impedance extraction. The Fast Multipole Method for the Biot-Savart law, which enables the simulation of magnetic materials, is derived. The effects of external magnetic fields on the performance of superconducting circuits are analysed. The amount of flux through each hole or moat can be specified using the Volume Loop basis function; enabling flux trapping analysis and inductance extraction around holes. The full derivation of the integral equations for volume and sheet currents are discussed. The Method of Moments is used to obtain a system of linear equations, which is solved with a preconditioned GMRES solver. Matrix-vector multiplication is accelerated with the Fast Multipole method. The accuracy and performance of the numerical solver are evaluated, by comparing simulated results to existing software.