Spectra Carpets

[Marthe Bernskoetter]

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We study spin-wave spectra of mesoscopic ferromagnetic Sierpinski carpets by means of broadband-ferromagnetic resonance measurements and micromagnetic simulations. Sierpinski carpets are self-similar fractals with noninteger Hausdorff dimension that are constructed via a deterministic iteration process. The number of quantized spin-wave modes in the spectra increases with the iteration level of the carpets and the frequency splitting resembles bandpass characteristics known from fractal antennas. We find that the splitting is sensitive to the fractal dimension as well as to the relative alignment of the magnetic field and the sides of the fractals. Micromagnetic simulations provide the localization of individual spin-wave modes determined by the confinement and the inhomogeneity of the internal field.

In this study, the band structure and transmission spectra in multiferroic based Sierpinski-carpet phononic crystal are investigated based on finite element simulation. In order to obtain the band structure of the phononic crystal (PnC), the Floquet periodicity conditions were applied to the sides of unit cell. The square lattice PnC consists of various piezoelectric inclusion in a rubber matrix with circular and triangular cross section.

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Fifteen increases in the intensity of solar cosmic rays (SCRs) from 30 investigated ground level enhancement (GLE) events have detected by Baksan EAS arrays in the period from 1981 until now. These data make it possible to refine the high-energy part of the SCR spectra calculated previously according to the data of the world-wide network of neutron monitors. A method for obtaining SCR spectra and calculating the specific yield functions for the Andyrchi, Carpet, and BMD Baksan arrays is briefly described. The SCR spectra for different instants in the GLE event of January 20, 2005 are presented.

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