Influence of nonmagnetic dielectric spacers on the spin wave response of one-dimensional planar magnonic crystals

The one-dimensional planar magnonic crystals are usually fabricated as a sequence of stripes intentionally or accidentally separated by non-magnetic spacers. The influence of spacers on shaping the spin wave spectra is complex and still not completely clarified. We performed the detailed numerical studies of the one-dimensional single- and bi-component magnonic crystals comprised of a periodic array of thin ferromagnetic stripes separated by non-magnetic spacers. We showed that the dynamic dipolar interactions between the stripes mediated by non-magnetic spacer, even ultra-narrow, significantly shift up the frequency of the ferromagnetic resonance and simultaneously reduce the spin wave group velocity, which is manifested by the flattening of the magnonic band. We attributed these changes in the spectra to the modifications of dipolar pinning and shape anisotropy both dependent on the width of the spacers and the thickness of the stripes, as well as to the dynamical magnetic volume charges formed due to inhomogeneous spin wave amplitude

FORMATION OF NON-STATE PENSION FUND IN THE PENSION SYSTEM IN RUSSIAN FEDERATION

The main purpose of the article is to create a denition of the genesis of such a large institutional investor as non-state pension funds (NPFs) and their current status in the pension system of the Russian Federation. The article provides a detailed study of the emergence of APFs in the market economy of Russia, as well as a study of the main parameters of the institutional and functional structure of relations on the forma-tion of NPFs of pension savings and pension reserves. The modern tendencies of APF de-velopment in the pension system of Russia are revealed

Role of boundaries in micromagnetic calculations of magnonic spectra of arrays of magnetic nanoelements

PublishedJournal ArticleWe have used micromagnetic simulations performed with open and periodic boundary conditions to study the influence of the presence of array boundaries on the spectra and spatial profiles of collective spin-wave excitations in arrays of magnetic nanoelements. The spectra and spatial profiles of collective spin waves excited in isolated arrays of nanoelements and those forming a part of quasi-infinite arrays are qualitatively different even if the same excitation field is used in the simulations. In particular, the use of periodic boundary conditions suppresses the excitation of nonuniform collective modes by uniform excitation fields. However, the use of nonuniform excitation fields in combination with periodic boundary conditions is shown to enable investigation of the structure of magnonic dispersion curves for quasi-infinite arrays (magnonic crystals) in different directions in the reciprocal space and for different magnonic bands. The results obtained in the latter case show a perfect agreement with those obtained with the dynamical matrix method for infinite arrays of nanoelements of the same geometry and magnetic properties. © 2013 American Physical Society.The research leading to these results has received funding from the ECs 7th Framework Programme (FP7/2007-2013) under Grant No. 233552 (DYNAMAG) and from EPSRC of the UK under Project No. EP/E055087/1