Abstract. It is investigated the
forced nonlinear precession of magnetization vector in normal magnetized
ferrite plate having magnetoelastic properties. It is shown that in condition
of orientation transition the alternating field having circular polarization induces
the precession of magnetization vector equilibrium position. It is shown that
owing to magnetoelastic interaction the properties of precession have large
changing. It is investigated the magnetization vector orientation transition
which consist of changing of equilibrium position of this vector when the
steady field is changing. By the minimization of energy solidity for the case
of cubic anisotropy it is found the third order equations system for the
components of magnetization and elastic displacement which describes the
equilibrium position of magnetization vector. By the decision of this system by
Cardano-method it is shown that orientation transition begins from the
orientation of magnetization in the plane of ferrite plate and finishes in
whole orientation of this vector along the field direction. It is shown that
the magnetoelastic interaction brings to increasing of orientation transition
field on the value which is straight proportional of magnetoelastic constant
value square and back proportional to saturation magnetization and elastic
constant. It is found that for typical magnetic materials – yttrium-iron garnet
and terbium-iron garnet the addition to transaction field is equal to value
which has the same order as the transition field. It is investigated the
equilibrium position precession in the cases of existence and absence of
magnetoelastic interaction. It is shown that the necessary condition of this
precession excitation is the field value less then end of orientation
transition. It is shown that the period of this precession is more less then
the alternating field period. It is shown that field is less then transition
field the parametrical precession portrait of equilibrium position has the form
of large circle with is filled along its line by small circles. This portrait
correspond to regime of non-fading precession without center rounding. When the
field is less but near the transition field there take place the regime fading
precession without center rounding. When the field is more then transition
field there take place the regime of simple circle precession. It is
established three character regions of field variation. The first region when
the field is less then end of transition field corresponding to absence of
magnetoelastic interaction. The second region when the field is more then end
of transition field in absence of magnetoelastic interaction and less then end
of transition field corresponding to presence magnetoelastic interaction. The
third region when the field is more then end of transition field corresponding
to presence magnetoelastic interaction. On the basis of analysis of vibrations
in-time development and precession portrait configuration by the field
increasing it is found four successive character regimes of precession. Regime ¹1
– before-critical as in absence so in the presence of magnetoelastic interaction.
Regime ¹2 – critical in absence of magnetoelastic interaction and
before-critical in its presence. Regime ¹3 – above-critical in absence of
magnetoelastic interaction and critical in its presence. Regime ¹4 –
above-critical as in absence so in presence of magnetoelastic interaction. It
is investigated the dependences of equilibrium position precession from the
field in the case of absence of magnetoelastic interaction and in the case of
its presence. It is shown that in both cases the period of equilibrium position
precession is increases so quicker then the transition is nearer. Near the
transition both periods long to go to infinity. It is proposed two empirical
formulas which describe received dependencies on the basis of inverse
proportional low in the accuracy about several percents. It is made the
comparison of received dependencies with the formula which is based on the
vector model. According to this model the period of precession is inverse
proportional to square root from applied magnetic field. It is shown that
square dependence brings slightly (about 2-3%) overstated field values. It is
the reason to improvement of vector model so as to improve its co-ordination with
empirical formulas. It is investigated the vibration of magnetization in the
field which is more then transition field so as in the simple circle
precession. It is shown that near above the transition field the vibration
amplitude is increased when applied field is increased. It is shown that this
increasing is depended on the resonance properties of magnetization precession
in regime of simple circle precession. For the cases of magnetoelastic
interaction absence and presence it is found the resonance frequencies in
consideration of precession fading along the vibration process. It is shown
that precession fading is the reason of increasing resonance fields corresponding
to resonance frequencies. It is found the resonance fields corresponding to
cases of absence and presence of magnetoelastic interaction. It is shown that
received field values in both cases correspond to observed resonance
dependencies in accuracy about 1%.
Key words: precession of
magnetization, magnetoelastic interaction, orientation transition.
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