MAGNONIC CRYSTALS - THE MAGNETIC COUNTERPART OF PHOTONIC CRYSTALS
H. Puszkarski and M. Krawczyk. Surface Physics Division, A. Mickiewicz
University, ul. Umultowska 85, Poznan 61-614, Poland

Following Yablonovitch's papers reporting experimentally the existence
of an absolute frequency gap in the spectrum of electromagnetic waves
propagating in a periodic dielectric structure (a photonic crystal),
there appeared papers which - by analogy to photonic crystals - dealt
with the possibility of the existence of complete energy gaps in the
spectra of other excitations propagating in periodic
macrostructures. In this work we investigate the magnon spectrum of a
two-dimensional composite consisting of cylindrical ferromagnetic
rods, periodically disposed as a two-dimensional lattice, embedded in
a homogenous medium with magnetic properties differing from those of
the cylinders. One shows that the magnonic spectra of the composite
exhibits frequency regions forbidden for the propagation of magnon
excitations, and those forbidden energy gaps were found to be
sensitive to the exchange contrast between the constituent materials
and to the contrast of their magnetizations; both the magnetization as
well as the exchange contrasts become gap-creating factors. We study
in detail the dependence of the widths of the respective gaps obtained
in the magnonic spectra on different parameters characterizing the
magnetic structure under investigation

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