3D Simulation of Superconducting Magnetic Shields and Lenses using the Fast Fourier Transform

TL;DR

This paper presents a fast Fourier transform-based 3D numerical method for simulating superconducting magnetic shields and lenses, aiding in design and analysis of these devices for scientific and medical applications.

Contribution

The paper introduces an efficient FFT-based numerical simulation technique for modeling superconducting magnetic devices, simplifying the design process compared to finite element methods.

Findings

Efficient simulation of magnetic shielding and lensing using FFT-based method.

Ability to estimate device performance under arbitrary external fields.

Simpler implementation than traditional finite element approaches.

Abstract

Shielding sensitive scientific and medical devices from the magnetic field environment is one of the promising applications of superconductors. Magnetic field concentration by superconducting magnetic lenses is the opposite phenomenon based, however, on the same properties of superconductors: their ideal conductivity and ability to expel the magnetic field. Full-dimensional numerical simulations are necessary for designing magnetic lenses and for estimating the quality of magnetic shielding under arbitrary varying external fields. Using the recently proposed Fast Fourier Transform based three-dimensional numerical method [Prigozhin and Sokolovsky, ArXiv 1801.04869] we model performance of two such devices made of a bulk type-II superconductor: a magnetic shield and a magnetic lens. The method is efficient and can be easier to implement than the alternative approaches based on the finite element methods.