Russian Physics Journal, Vol. 61, No. 2, June, 2018 (Russian Original No. 2, February, 2018)
AN ANALYSIS OF CHARACTERISTICS OF MAGNETOSTATIC
WAVES PROPAGATING IN NONHOMOGENEOUS FIELDS
ACROSS THE FERROSPINEL FILM THICKNESS
Yu. V. Velikanova, M. R. Vinogradova, and L. A. Mitlina UDC 539.216.2:537.622.6
The amplitude-frequency characteristics (AFCs) of magnetostatic waves in the films of magnesium-manganese
ferrospinels with nanostructured inhomogeneities are discussed. A common effect, observed in the film AFCs
under different process conditions, is the ‘oscillations of propagation’ of magnetostatic waves as a function of
the frequency. The oscillation pattern is thought to depend on the inhomogeneous exchange parameters and the
surface anisotropy constants. The wave instability is characterized by the resonant interaction of the dipole
magnetostatic waves with the surface spin waves. It is shown that the ferrospinel films with periodic
nanostructured inhomogeneities of 30–40 nm could be treated as magnon crystals. An inclusion of the
inhomogeneity into consideration allows one to provide reasoning for the formation of the rejection bands
within the range 9–12 GHz, whose frequencies correspond to Bragg frequencies.
Keywords: single-crystal ferrospinel films, dipole and exchange waves, inhomogeneous exchange constants,
surface anisotropy, effective mass of magnons.
Microelectronic devices of a new generation need both new magnetic materials and classical ferrite thin and
nanosized films. The formation of properties of these materials is essentially affected by a ‘defect’ named surface.
Hence an investigation of the surface layer properties and the magnetic system behavior in this layer  aquiress
The authors of  reported peculiar features of the frequency-amplitude characteristics of a delay line
prototype of manganese ferrospinel films of different compositions tangentially magnetized at Н
~ 400 Oe. They
determined the inhomogeneous exchange parameter η = 0.189–0.261 cm
and the efficient mass of the surface
magnons m = (2.1–8.67)10
The studies dealing with propagation of the surface magnetostatic waves (SMSWs) [3–5] focus mostly on the
films made from yttrium iron garnet, while the issues of wave attenuation in ferrospinels [6, 7] are given insufficient
attention. In some works (e.g., ), it is shown that the presence of dissipation results in the generation of backward
‘dissipative’ waves, whose frequency is adjacent to the upper boundary of the spectrum of ordinary forward-
propagating SMSWs of the Damon-Esbakh (DE) type, whose dissipation gives rise to the formation of an upper bound
of a probable range of wave numbers both for the forward- and backward-propagating waves.
In addition to this, inadequate attention is given to different kinds of nonlinearities  appearing in the AFCs of
The purpose of this study is to identify the influence of the exchange interaction and the surface anisotropy
constants on the propagation and instability of the DE surface waves in the films of magnesium-manganese ferrospinels
as a function of their magnetic parameters.
Samara State Technical University, Samara, Russia, e-mail: firstname.lastname@example.org; email@example.com;
firstname.lastname@example.org. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 159–165, February,
2018. Original article submitted March 7, 2017; revision submitted October 31, 2017.
1064-8887/18/6102-0385 2018 Springer Science+Business Media, LLC