By J. C. Slonczewski (auth.), Victor G. Bar’yakthar, Philip E. Wigen, Natalia A. Lesnik (eds.)
Frontiers in Magnetism of diminished measurement Systems provides a definitive assertion of our present wisdom and the cutting-edge in a box that has but to accomplish adulthood, although there are various capability purposes of skinny magnetic motion pictures and multilayers, akin to magnetic sensors, info storage/retrieval media, actuators, and so on.
The ebook is geared up into thirteen chapters, each one together with a lecture and contributed papers on an analogous topic. 5 chapters care for theoretical descriptions of electron shipping phenomena, leisure approaches, nonlinear paramagnetic interactions, section transitions and macroscopic quantum results in magnetic movies and debris. the outline of alternative characterization options occupies a big position within the publication. Separate chapters are devoted to magnetic resonances (FMR, SWR, NMR), magneto-optical spectroscopy, controlling chaos, magnetoelastic phenomena and magnetic resonance strength microscopy. a different bankruptcy offers a close assessment, unfold over a few papers, of fabrics in present use in info garage devices.
Read or Download Frontiers in Magnetism of Reduced Dimension Systems: Proceedings of the NATO Advanced Study Institute on Frontiers in Magnetism of Reduced Dimension Systems Crimea, Ukraine May 25—June 3, 1997 PDF
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Additional resources for Frontiers in Magnetism of Reduced Dimension Systems: Proceedings of the NATO Advanced Study Institute on Frontiers in Magnetism of Reduced Dimension Systems Crimea, Ukraine May 25—June 3, 1997
Example text
A1. [2-4, 14]. Details of auto-oscillation and chaos in a YIG sphere at subsidiary resonance were initially reported in a series of papers by Bryant and Jeffries [7, 11, 15]. In a quite complete study they reported regions and boundaries of coupled behavior of the magnetization and a wide variety of non-linear phenomena were observed. While most experiments at the main resonance involve the second order process, experiments were performed by Carroll, et a1. [8, 12, 13, 16] investigating first order Suhl instabilities by using applied fields and pumping frequencies low enough that the spinwave manifold includes spin-waves with frequencies equal to half the pumping frequency.
27) given by 17 (31) where C; = 21tkB Twme I IiQ. (32) over the space k" mixes different oscillation periods. However, the period 1t/Q present in Eq. (32) survives asyrntotically, because a group of waves with k" near 0 gives nearly the same period. Note, however, that Eq. (31) decays more rapidly (aw·2 ) than Eq. (32) (aw· l ) because of these interferences. 5]. ]. Our specialization to a rectilinear potential for the derivation of Eq. (31) is not necessary, because it is valid for more general potentials providing the reflection coefficients R+ and R.
According to these conventions, the 'crystalline potential' term is v=- Q2 inside the well and v= _K2 outside. The kinetic energy term is respectively q2 or k 2. In the range -Q< e< _K2, there exist a fmite number Nb of localized states bound to the well with sharp levels e =ev (v= 1,2,3, ... ,Nb). An incident subwave I with e;:::-K2 propagating rightward within the well scatters from interface B with reflection coeffIcient r(e)=(q-k)/ {q+k). The reflected part of this wave scatters again at interface A, and so on.