Formation of longitudinal patterns and dimensionality crossover of nonlinear spin waves in ferromagnetic stripes

Demidov, V. E.; Hansen, Ulf-Hendrik; Dzyapko, O.; Koulev, N.; Demokritov, S. O.; Slavin, A. N.

doi:10.1103/physrevb.74.092407

Cited by 14 publications

(8 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This effect has not been observed in case of conventional bullet formation [1]. On the contrary, a similar picture is usually observed for linear guided spin waves in narrow film waveguides [7,8], where it is explained as a beat of phase-correlated linear waveguide width modes propagating at the same carrier frequency. This effect evidences the importance of the influence of confinement on the nonlinear evolution of the packet transverse profile and suggests that interaction of the linear eigenwaves of the waveguide -the socalled width modes -underlies nonlinear wave dynamics.…”

mentioning

confidence: 69%

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

2008

View full text Add to dashboard Cite

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...

show abstract

mentioning

confidence: 69%

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

2008

View full text Add to dashboard Cite

show abstract

“…10,13,14 Provided that the excitation field is uniform in the transverse direction, spin waves of latter type in the linear propagation regime show a nearly uniform beam, whereas as the spin-wave amplitude is increased, the width of the beam becomes dependent on the propagation coordinate and a nonlinear self-focusing occurs. Such findings are in agreement with the theoretical concept, since backward volume waves are characterized by the focusing transverse nonlinearity.…”

Section: Nonlinear Transverse Stabilization Of Spin-wave Beams In Magmentioning

confidence: 97%

Nonlinear transverse stabilization of spin-wave beams in magnetic stripes

Demidov¹,

Rekers²,

Mahrov³

et al. 2006

Applied Physics Letters

View full text Add to dashboard Cite

The propagation of spin-wave beams in ferromagnetic stripes has been investigated experimentally by means of spatially resolved Brillouin light scattering spectroscopy. It is shown that in the case of low-amplitude spin waves the diffraction and the transverse confinement of spin waves lead to oscillations of the beam width. The authors found that with increasing spin-wave amplitude the interplay between the linear diffraction and the repulsive spin-wave nonlinearity results in a suppression of the oscillations of the beam width and in its transverse stabilization.

show abstract

“…The authors observed stable propagation of a line soliton in a narrow stripe of width 1.5 mm, while the transverse self-focusing occurred in a wide film of 18 mm width, in accordance with our result. However, the width threshold depends on the exact transverse modes and pinning conditions at the edges of the stripe [20]. Since our analysis considers pure Fourier modes, it can only give an order of magnitude for it.…”

mentioning

confidence: 99%

Single-Oscillation Two-Dimensional Solitons of Magnetic Polaritons

Leblond

Manna

2007

Phys. Rev. Lett.

View full text Add to dashboard Cite

The propagation of bulk polaritons in ferromagnetic slab is considered through a short-wavelength approximation. Neither the damping nor the demagnetizing field do affect essentially the propagation and stability of the line soliton. The stable line soliton may be destroyed by background instability: the latter is suppressed in a narrow strip. The unstable line soliton decays into lumps, which can be described both numerically and through a variational approach. Lump interactions are mentioned.

show abstract

Formation of longitudinal patterns and dimensionality crossover of nonlinear spin waves in ferromagnetic stripes

Cited by 14 publications

References 27 publications

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

Formation of Guided Spin-Wave Bullets in Ferrimagnetic Film Stripes

Nonlinear transverse stabilization of spin-wave beams in magnetic stripes

Single-Oscillation Two-Dimensional Solitons of Magnetic Polaritons

Contact Info

Product

Resources

About