Effective dipolar boundary conditions for dynamic magnetization in thin magnetic stripes

Guslienko, K. Yu.; Demokritov, S. O.; Hillebrands, B.; Slavin, A. N.

doi:10.1103/physrevb.66.132402

Cited by 319 publications

(242 citation statements)

References 10 publications

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“…In other words, the edge pinning of magnetization in wires transversely magnetized to full saturation must have extrinsic character. This situation is to be contrasted with the case of ideal wires magnetized parallel to the wire edge, where demagnetizing fields lead to intrinsic partial pinning of the dynamic magnetization at the wire edges 44 . It has also been previously shown that the effective boundary conditions for wires that are not fully magnetized by a transverse magnetic field H < H e are different from the free boundary conditions 34 .…”

Section: Resultsmentioning

confidence: 98%

Spin wave eigenmodes in transversely magnetized thin film ferromagnetic wires

et al. 2015

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We report experimental and theoretical studies of spin wave eigenmodes in transversely magnetized thin film Permalloy wires. Using broadband ferromagnetic resonance technique, we measure the spectrum of spin wave eigenmodes in individual wires as a function of magnetic field and wire width. Comparison of the experimental data to our analytical model and micromagnetic simulations shows that the intrinsic dipolar edge pinning of spin waves is negligible in transversely magnetized wires. Our data also quantify the degree of extrinsic edge pinning in Permalloy wires. This work establishes the boundary conditions for dynamic magnetization in transversely magnetized thin film wires for the range of wire widths and thicknesses studied, and provides a quantitative description of the spin wave eigenmode frequencies and spatial profiles in this system as a function of the wire width.

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Section: Resultsmentioning

confidence: 98%

Spin wave eigenmodes in transversely magnetized thin film ferromagnetic wires

et al. 2015

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“…The positions of the nodes are determined by the effective width w * of the waveguide felt by the centre mode, which is further associated with the boundary condition of the waveguide. 43,44 In our micromagnetic simulations, no boundary conditions were artificially imposed a priori on the lateral surfaces. In the theoretical calculations, the value of w * could not be chosen arbitrarily, otherwise the agreement with the simulations would not be accomplished.…”

Section: Resultsmentioning

confidence: 99%

Engineering spin-wave channels in submicrometer magnonic waveguides

Xing

Wang

2013

AIP Advances

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Based on micromagnetic simulations and model calculations, we demonstrate that degenerate well and barrier magnon modes can exist concurrently in a single magnetic waveguide magnetized perpendicularly to the long axis in a broad frequency band, corresponding to copropagating edge and centre spin waves, respectively. The dispersion relations of these magnon modes clearly show that the edge and centre modes possess much different wave characteristics. By tailoring the antenna size, the edge mode can be selectively activated. If the antenna is sufficiently narrow, both the edge and centre modes are excited with considerable efficiency and propagate along the waveguide. By roughening the lateral boundary of the waveguide, the characteristics of the relevant channel can be easily engineered. Moreover, the coupling of the edge and centre modes can be conveniently controlled by scaling the width of the waveguide. For a wide waveguide with a narrow antenna, the edge and centre modes travel relatively independently in spatially-separate channels, whereas for a narrow strip, these modes strongly superpose in space. These discoveries might find potential applications in emerging magnonic devices

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“…For a stripe of rectangular cross-section the modes are characterized by a standing-wave type dynamic magnetization distribution across the stripe cross-section and by a monochromatic propagating wave with the longitudinal wavenumber k z along the stripe. Importantly, for stripes with a large ratio p of width to thickness the thickness distribution of the dynamic magnetization is practically homogeneous, whereas in the direction of the stripe width the standing spin waves possess considerably decreased amplitudes at the edges due to dynamic demagnetization effects [11]. Previous calculations (see Fig.…”

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confidence: 95%

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

2008

Self Cite

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The formation of quasi-2D nonlinear spin-wave eigenmodes in longitudinally magnetized stripes of a ferrimagnetic film, so-called guided spin-wave bullets, was experimentally observed by using timeand space-resolved Brillouin light scattering spectroscopy and confirmed by numerical simulation. They represent stable spin-wave packets propagating along a waveguide structure, for which both transversal instability and interaction with the side edges of the waveguide are important. The experiments and the numerical simulation of the evolution of the spin-wave excitations show that the shape of the formed packets and their behavior are strongly influenced by the confinement conditions. The discovery of these modes demonstrates the existence of quasi-stable nonlinear solutions in the transition regime between one-dimensional and two-dimensional wave packet propagation.PACS numbers: 75.30. Ds, 76.50.+g, 85.70.Ge Stable two-dimensional localized nonlinear spin-wave excitations, so-called spin-wave bullets, have been previously observed in thin ferrimagnetic films of yttriumiron-garnet (YIG) magnetized along the propagation direction [1,2,3]. These films were practically unbounded in both in-plane directions compared to the transversal size of the spin-wave packets and the wavelength of the carrier spin wave. In contrary, in a one-dimensional waveguide structure, where the width is comparable to or smaller than the spin-wave wavelength, only quasi onedimensional nonlinear spin-wave objects were observed, which are spin-wave envelope solitons. [4,5]. Both for solitons and bullets linear pulse spreading in the direction of propagation (so called longitudinal direction) due to wave dispersion is compensated by longitudinal nonlinear compression. As for the transverse in-plane direction, solitons are meant to have a stable transverse distribution of their dynamic magnetization coinciding with the profile of the lowest linear spin-wave eigenmode of the waveguide. On the contrary, bullets show transverse nonlinear instability of attractive type which overcompensates transverse diffraction broadening of the wave packet. The nonlinear compression would lead to a wave packet collapse if the medium is lossless. Weak magnetic losses in a real magnetic film ensure a fine balance of nonlinear narrowing of the packet and of its diffraction spreading for some distance of propagation [1]. This results in a quasi-2D spatially localized bell-shaped waveform which is stable during the lifetime of the bullet.Here we report on the experimental observation of a stable spin-wave packet propagating along a waveguide structure, for which both transversal instability and interaction with the side edges of the film waveguide are crucial. The structure can be considered as a transitional case between the 2D case of a continuous film and the quasi-1D case of a narrow stripe. We show that in this case the nonlinear wave dynamics is distinctively different from both the soliton and the bullet cases, and can be considered as efficient coherent nonlin...

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Effective dipolar boundary conditions for dynamic magnetization in thin magnetic stripes

Cited by 319 publications

References 10 publications

Spin wave eigenmodes in transversely magnetized thin film ferromagnetic wires

Spin wave eigenmodes in transversely magnetized thin film ferromagnetic wires

Engineering spin-wave channels in submicrometer magnonic waveguides

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

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