Reflection and refraction of spin waves in uniaxial magnets in the geometrical-optics approximation

Gorobets, Yu. I.; Reshetnyak, S. A.

doi:10.1134/1.1258965

Cited by 24 publications

(20 citation statements)

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“…by m A M SA + m B M SA . Thus, to list a few topics of relevance, we expect the problems of spin wave scattering from interfaces [83][84][85][86] (including the recently proposed magnonic Goos-Hänchen effect 87 ), spin wave dispersion in magnonic crystals 24,32,44,46,47,88 and quasi-crystals, 38,89,90 spectra and localization of defect and surface modes, 91,92,93 and associated applications in magnonic devices 14,40,41,94 to be revisited with the generalized Barnaś-Mills boundary conditions derived here.…”

Section: Discussionmentioning

confidence: 99%

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Kruglyak

Gorobets

et al. 2014

J. Phys.: Condens. Matter

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We develop a systematic approach by which to derive boundary conditions at an interface between two ferromagnetic materials in the continuous medium approximation. The approach treats the interface as a two-sublattice material, although the final equations connect magnetizations outside of the interface and therefore do not explicitly depend on its structure. Instead, the boundary conditions are defined in terms of some average properties of the interface, which may also have a finite thickness. In addition to the interface anisotropy and symmetric exchange coupling, this approach allows us to take into account coupling resulting from inversion symmetry breaking in the vicinity of the interface, such as the Dzyaloshinskii-Moriya antisymmetric exchange interaction. In the case of negligible interface anisotropy and Dzyaloshinskii-Moriya exchange parameters, the derived boundary conditions represent a generalization of those proposed earlier by Barnaś and Mills and are therefore named "generalized Barnaś-Mills boundary conditions". We demonstrate how one could use the boundary conditions to extract parameters of the interface via fitting of appropriate experimental data. The developed theory could be applied to modeling of both linear and non-linear spin waves, including exchange, dipole-exchange, magnetostatic, and retarded modes, as well as to calculations of nonuniform equilibrium micromagnetic configurations near the interface, with a direct impact on the research in magnonics and micromagnetism. * Corresponding author: V.V.Kruglyak@exeter.ac.uk 2

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Section: Discussionmentioning

confidence: 99%

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Kruglyak

Gorobets

et al. 2014

J. Phys.: Condens. Matter

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“…Spin waves exhibit most of the properties inherent to waves of other origins, including the excitation and propagation 21,22,23 , reflection and refraction 24,25,26,27,28,29 , interference and diffraction 30,31,32,33,34,35 , focusing and self-focusing 36,37,38,39,40,41 , tunnelling 42,43 , Doppler effect 44,45,46 , and formation of spin-wave envelope solitons 47,48,49,50 . Spin-wave quantization due to the finite size effect was discovered in thin films 51,52 and more recently in laterally confined magnetic structures 53,54,55,56,57,58 , with their effect upon the high frequency permeability and the observation of a negative permeability discussed in Refs.…”

Section: Spin Waves and Effectively Continuous Magnonic Metamaterialsmentioning

confidence: 99%

Magnonic Metamaterials

Kruglyak¹,

Dvornik²,

Mikhaylovskiy³

et al. 2012

Metamaterial

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“…However, in the case considered, at a fixed angle of incidence the transmission of SWs through an interface with an increased magnetic anisotropy increases with increasing SW frequency ( Fig. 4(e)) [46].…”

Section: A Analytical Modelmentioning

confidence: 87%

Goos-Hänchen shift of a spin-wave beam transmitted through anisotropic interface between two ferromagnets

et al. 2017

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The main object of investigation in magnonics, spin waves (SWs) are promising information carriers. Presently the most commonly studied are plane wave-like SWs and SWs propagating in confined structures, such as waveguides. Here we consider a Gaussian SW beam obliquely incident on an ultra-narrow interface between two identical ferromagnetic materials. We use an analytical model and micromagnetic simulations for an in-depth analysis of the influence of the interface properties, in particular the magnetic anisotropy, on the transmission of the SW beam. We derive analytical formulas for the reflectance, transmittance, phase shift and Goos-Hänchen (GH) shift for beams reflected and refracted by an interface between two semi-infinite ferromagnetic media; the results for the refracted beam are the first to be reported to date. The GH shifts in SW beam reflection and transmission are confirmed by micromagnetic simulations in the thin-film geometry. We demonstrate the dependence of the characteristic properties on the magnetic anisotropy at the interface, the angle of incidence and the frequency of the SWs. We also propose a method for the excitation of high-quality SW beams in micromagnetic simulations.

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Reflection and refraction of spin waves in uniaxial magnets in the geometrical-optics approximation

Cited by 24 publications

References 1 publication

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Magnetization boundary conditions at a ferromagnetic interface of finite thickness

Magnonic Metamaterials

Goos-Hänchen shift of a spin-wave beam transmitted through anisotropic interface between two ferromagnets

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