Solution of 3D magnetization problems for superconducting film stacks

TL;DR

This paper introduces a fast Fourier transform-based numerical method for solving 3D magnetization problems in stacks of superconducting films, offering efficiency and accuracy improvements over finite element methods.

Contribution

It presents a novel FFT-based approach for modeling magnetization in superconducting film stacks, including infinite stacks, with validation against existing methods.

Findings

FFT method is faster than finite element methods.

Accurate solutions for large stacks can be derived from smaller stack models.

Infinite stack problem reduces to single film case.

Abstract

A stack of coated conductors is a perspective configuration for various applications of high temperature superconductors. We present an efficient fast Fourier transform-based numerical method for magnetization problems for a stack of flat films of the same (arbitrary) shape and compare it with the recently proposed finite element methods. For stacks containing a large number of densely packed films an accurate solution can be obtained as a properly rescaled solution for a stack of only several films. For an infinite stack the problem simplifies and becomes similar to that for a single film.