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

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 Added by Yasunori Mawatari
 Publication date 2013
  fields Physics
and research's language is English




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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, $0<mu_{perp}/mu_0ll mu_{parallel}/mu_0simeq 1$, whereas for the 2D arrays of soft magnetic strips, $mu_{parallel}/mu_0ggmu_{perp}/mu_0simeq 1$, 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 $mu_{parallel}/mu_0gg 1gg mu_{perp}/mu_0>0$.



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We theoretically investigate the magnetic response of two-dimensional arrays of superconducting strips, which are regarded as essential structures of dc magnetic metamaterials. We analytically obtain local distributions of the magnetic field for the ideal complete shielding state (i.e., $Lambda/wto 0$, where $2w$ is the strip width, $Lambda=lambda^2/d$ is the Pearl length, $lambda$ is the London penetration depth, and $d$ is the strip thickness), and derive effective permeability by averaging the local field distributions. We also perform numerical calculations for a realistic case, taking finite $Lambda/w>0$ into account. We investigate two types of strip arrays: a rectangular array and a hexagonal array. The resulting effective permeability has large anisotropy that depends on the dimensions and arrangement of the superconducting strips, and the hexagonal array is found to be more advantageous for obtaining large anisotropy than the rectangular array.
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