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

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 ${\mu }_{\parallel }/{\mu }_0\gg 1\gg {\mu }_{\perp }/{\mu }_0>0$.

21 pages, 14 figures, accepted for publication in Supercond. Sci. Technol

References in corpus (6)

• Full-wave simulations of electromagnetic cloaking structures
• A DC magnetic metamaterial
• Antimagnets: Controlling magnetic fields with superconductor-metamaterial hybrids
• Alternative Derivation of Electromagnetic Cloaks and Concentrators
• Analytical investigation of magnetic field distributions around superconducting strips on ferromagnetic substrates
• Two-dimensional arrays of superconducting strips as dc magnetic metamaterials

Cited by in corpus (5)

• Progress in Superconducting Metamaterials
• Magnetic detectability of a finite size paramagnet/superconductor cylindrical cloak
• Magnetic cloaking by a paramagnet/superconductor cylindrical tube in the critical state
• Wide-Band Tuneability, Nonlinear Transmission, and Dynamic Multistability in SQUID Metamaterials
• Kinetic inductance of superconducting nanostrips with turns