Two-dimensional arrays of superconducting and soft magnetic strips as dc magnetic metamaterials

TL;DR

This paper theoretically analyzes the magnetic response and anisotropic permeability of 2D arrays of superconducting and soft magnetic strips, proposing hybrid arrays with strong permeability anisotropy for dc magnetic metamaterials.

Contribution

It introduces a theoretical model for the magnetic response of 2D arrays of superconducting and soft magnetic strips, highlighting their anisotropic permeability properties and potential for hybrid metamaterials.

Findings

Superconducting arrays exhibit high anisotropy with $rac{ ext{perp}}{ ext{vacuum}} o 0$ and $rac{ ext{parallel}}{ ext{vacuum}} o 1.

Soft magnetic arrays show the opposite anisotropy with $rac{ ext{parallel}}{ ext{vacuum}} o ext{large}$ and $rac{ ext{perp}}{ ext{vacuum}} o 1$.

Hybrid arrays can achieve strong permeability anisotropy with $rac{ ext{parallel}}{ ext{vacuum}} o ext{large}$ and $rac{ ext{perp}}{ ext{vacuum}} o 0$.

Abstract

We have theoretically investigated the magnetic response of two-dimensional (2D) arrays of superconducting and soft magnetic strips, which are regarded as models of dc magnetic metamaterials. The anisotropy of the macroscopic permeabilities depends on whether the applied magnetic field is parallel to the wide surface of the strips ($\mu_{\parallel}$) or perpendicular ($\mu_{\perp}$). For the 2D arrays of superconducting strips, $0<\mu_{\perp}/\mu_0\ll \mu_{\parallel}/\mu_0\simeq 1$, whereas for the 2D arrays of soft magnetic strips, $\mu_{\parallel}/\mu_0\gg\mu_{\perp}/\mu_0\simeq 1$, where $\mu_0$ is the vacuum permeability. We also demonstrate that strong anisotropy of the macroscopic permeability can be obtained for hybrid arrays of superconducting and soft magnetic strips, where $\mu_{\parallel}/\mu_0\gg 1\gg \mu_{\perp}/\mu_0>0$.