Open AccessNonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropy
Author(s) -
Xu Yan,
Desheng Xue,
Wei Zuo,
Fashen Li
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.2896
Subject(s) - physics , spin wave , condensed matter physics , nonlinear system , nonlinear schrödinger equation , soliton , magnetization , anisotropy , envelope (radar) , dispersion relation , ferromagnetism , dispersion (optics) , amplitude , classical mechanics , quantum mechanics , magnetic field , telecommunications , radar , computer science
The theory of nonlinear surface spin waves in pure-exchange semi-infinite ferrom agnetic media with inhomogeneous exchange anisotropy has been considered by usin g the Landau-Lifshitz equation. For partly pinned pure-exchange ferromagnet, the boun-dary condition for magnatization of this system is derived, and the nonlinear dispersion relation for these waves is obtained. The one-dimensional(stationary wave along the z-direction) and two-dimensional(2D)(travelling wave in the oxy plane) nonlinear Schrdinger equations which are satisfied by the spin -wave envelope amplitude of the magnetization, are derived. It is shown that the amplitude of the magnetization is determined by the 2D nonlinear Schrdinger e quation. From this, we predict that the nonlinear excitation on the surface of m agnetic materials should be of 2D soliton form. For weakly nonlinear spin waves, the possibi-lity of soliton formation on the basis of 2D nonlinear Schrdi nger equation has been discussed in detail.