Abstract.
On the basis of whole
electrodynamics it is investigated the dispersion properties of electromagnetic
waves propagating on in-plane magnetized ferrite plate having bigyrotropic
properties. In Cartesian coordinate system it is written the formulas for
dielectric and magnetic permittivity tensors by the condition of coincidence of
gyrotropy axis both tensors. It is found the whole electrodynamics equations
for the medium having gyromagnetic properties. It is found the united system
containing from two connected second order equations having wave type. In the
case when the field correspondence from the coordinate along gyrotropy axis is
absent it is found two independent equations which describe two waves propagating
along the normal direction to gyrotropy axis. The wave which has the
perpendicular to gyrotropy axis components of electrical field determined by
the magnetic field component which is parallel to gyrotropy axis is named as
gyroelectric wave. The wave which has the perpendicular to gyrotropy axis
components of magnetic field determined by the electric field component which
is parallel to gyrotropy axis is named as gyromagnetic wave. In connection with
the most role of ferrites in microwave engineering where the wave in majority
has gyromagnetic character the follows investigation is devoted to properties
gyromagnetic wave in exclusively. In geometry of in-plane magnetized ferrite
plate it is investigated the whole wave equation and boundary conditions for
gyromagnetic wave. By substitution the decision of wave equation to boundary conditions
it is found the dispersion relation described through the wave vector components
which are perpendicular to surface of magnetic plate. The starting dispersion
relation is transformed to the form which structure is similar to Damon-Eshbach
relation which connects the frequency with the wave number in the direction of
wave propagation. It is shown that the parameters of received dispersion
relation have specific character which is distinguished from Damon-Eshbach
relation by presence some addition items which in magnetostatic approaching are
absent. On the basis of received dispersion relation by numerical method by
zero search it is constructed the dispersion curves for gyromagnetic wave in
the whole frequency range from zero to infinity. It is shown that the
magnetostatic approximation is coincided with the investigation in whole
electrodynamics frames only in region of enough large wave numbers when the
magnetostatic wave length is more less then the electromagnetic wave frequency
on the same frequency. It is investigated the peculiarities of gyromagnetic
wave dispersion in ferrite plate when wave number is small. It is shown that in
the whole frequency region from zero to infinity there is the region where the
character of gyromagnetic wave is surface and upper and lower of this region
its character is volume. In the frame where the wave character is surface it is
found two branches: low-frequency and high-frequency.
In this case the
low-frequency branch coincides with Damon-Eshbach wave but the high-frequency
branch in magnetostatic approximation is absent. It is investigated the
deformation of dispersion curves in the case when dielectric permeability value
is not equal to zero. It is found that by the dielectric permeability is
increased there take place the appearing of some additional frequency branches
of gyromagnetic waves having frequencies upper the both branches of surface
waves.
Key words:
equations of electrodynamics,
magnetostatic approximation, bigyrotropic medium, gyromagnetic wave.
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