Effective magnetic properties of arrays of interacting ferromagnetic wires exhibiting gyromagnetic anisotropy and retardation effects

被引:19
作者
Boucher, Vincent [1 ]
Menard, David [1 ]
机构
[1] Ecole Polytech, Dept Genie Phys, RQMP, Montreal, PQ H3C 3A7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
RESONANCE; FREQUENCY; COMPOSITE; MAGNETOIMPEDANCE; PERMITTIVITY; PERMEABILITY; PERTURBATION; PROPAGATION; LATTICE; NICKEL;
D O I
10.1103/PhysRevB.81.174404
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present a model for the effective magnetic properties of metamaterials composed of gyromagnetic inclusions in which electromagnetic retardation is accounted for. The formalism is used to derive the effective permeability tensor of axially magnetized ferromagnetic-metallic wires. The complex size-dependent gyromagnetic response of a single wire subjected to an external dynamic magnetic field is first obtained and expressed compactly in terms of renormalized permeability components. We then incorporate this response into an extended Maxwell-Garnett homogenization procedure to yield the effective permeability tensor of the array. An effective external susceptibility tensor, which includes dipolar interactions explicitly, is further introduced to describe the ferromagnetic resonance response of finite-size arrays placed in microwave resonant cavities. We examine the impact of electromagnetic retardation on the resonance, antiresonance, and linewidth and compare the magnetic response expected for conducting and insulating magnetic wires. The conditions under which arrays of ferromagnetic wires may exhibit a region of negative effective permeability are established and are found to be dependent on both the intrinsic magnetic and size-dependent eddy-current losses, thus providing useful guidelines for the design of magnetic metamaterials. The proposed formalism is sufficiently general to be applied or extended to various systems of interest.
引用
收藏
页数:21
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共 101 条
[91]   Effective demagnetizing factors of complicated particle mixtures [J].
Skomski, Ralph ;
Hadjipanayis, G. C. ;
Sellmyer, D. J. .
IEEE TRANSACTIONS ON MAGNETICS, 2007, 43 (06) :2956-2958
[92]   Spin-wave modes in Ni nanorod arrays studied by Brillouin light scattering [J].
Stashkevich, A. A. ;
Roussigne, Y. ;
Djemia, P. ;
Cherif, S. M. ;
Evans, P. R. ;
Murphy, A. P. ;
Hendren, W. R. ;
Atkinson, R. ;
Pollard, R. J. ;
Zayats, A. V. ;
Chaboussant, G. ;
Ott, F. .
PHYSICAL REVIEW B, 2009, 80 (14)
[93]   INTRINSIC AND EXTERNAL PERMEABILITIES AND SUSCEPTIBILITIES OF GYROMAGNETIC MATERIALS [J].
WALDRON, RA .
BRITISH JOURNAL OF APPLIED PHYSICS, 1963, 14 (10) :700-&
[94]   Spin-wave quantization in ferromagnetic nickel nanowires -: art. no. 027201 [J].
Wang, ZK ;
Kuok, MH ;
Ng, SC ;
Lockwood, DJ ;
Cottam, MG ;
Nielsch, K ;
Wehrspohn, RB ;
Gösele, U .
PHYSICAL REVIEW LETTERS, 2002, 89 (02)
[95]   Three-dimensional array of dielectric spheres with an isotropic negative permeability at infrared frequencies [J].
Wheeler, MS ;
Aitchison, JS ;
Mojahedi, M .
PHYSICAL REVIEW B, 2005, 72 (19)
[96]   High frequency complex permeability of iron particles in a nonmagnetic matrix [J].
Wu, L. Z. ;
Ding, J. ;
Jiang, H. B. ;
Neo, C. P. ;
Chen, L. F. ;
Ong, C. K. .
JOURNAL OF APPLIED PHYSICS, 2006, 99 (08)
[97]   Effective medium theory for magnetodielectric composites: Beyond the long-wavelength limit [J].
Wu, Ying ;
Li, Jensen ;
Zhang, Zhao-Qing ;
Chan, C. T. .
PHYSICAL REVIEW B, 2006, 74 (08)
[98]   Passive high-frequency devices based on superlattice ferromagnetic nanowires [J].
Ye, B. ;
Li, F. ;
Cimpoesu, D. ;
Wiley, J. B. ;
Jung, J.-S. ;
Stancu, A. ;
Spinu, L. .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 316 (02) :E56-E58
[99]   Experimental verification of isotropic and polarization properties of high permittivity-based metamaterial [J].
Zhang, Fuli ;
Zhao, Qian ;
Kang, Lei ;
Zhou, Ji ;
Lippens, Didier .
PHYSICAL REVIEW B, 2009, 80 (19)
[100]   Experimental demonstration of isotropic negative permeability in a three-dimensional dielectric composite [J].
Zhao, Qian ;
Kang, Lei ;
Du, B. ;
Zhao, H. ;
Xie, Q. ;
Huang, X. ;
Li, B. ;
Zhou, J. ;
Li, L. .
PHYSICAL REVIEW LETTERS, 2008, 101 (02)