A theory of the magnetostatic oscillations in a bubble lattice, based upon the application of a new boundary condition on the surface of the elementary cell is introduced. In the thick plate approximation four branches of resonance oscillations nonuniform in the (ϱ ϕ) plane and uniform in the normal (z) direction are obtained. It is shown, that in the general case of a thin platelet the oscillations remain uniform in (z) direction, but the low frequency branch splits into two.
The resonance frequencies and intensities of absorption lines of uniaxial single crystal platelets with cylindrical domain structure at arbitrary magnetization are calculated. A comparison is made with measurements on a barium ferrite plate for nine values of the angle ψ between the external field and the easy axis.
Theoretical investigations of the effect of platelet thickness on resonance frequencies and intensities of absorption lines at parallel magnetization are carried out. Comparison with experiment is made on barium ferrite disk shape platelets in the multidomain state and at saturation.
The theory of magnetostatic waves propagating along the domains is introduced. It is shown that only uniform-surface and volume-uniform waves may exist. In the case k, + 0 we obtain two FMR frequencies: the low-frequency mode wlf as a limiting case of volume-uniform waves and the high-frequency mode whf of uniform-surface waves. Comparison with the theory of uniform resonance and experiment on barium ferrite platelets is carried out.
Intrc2uctionMagnetostatic modes in a uniaxial single crystals with stripe domain structure (SJX) are investigated in a number of papers [l to 61. In [l to 31 the principle of translational invariance applied to periodic domain structures (DS) leads to the band structure of the magnetostatic mode spectrum. In the long-wave approximation 2 9 2d (A wavelength, 2d period of the DS) the problem [4] was considered as for a saturated specimen, the magnetic permeability of which is equal to the of averaged over the period of the DS permeability of a platelet with SDS. In [ S ] the effect of DS on the magnetostatic mode spectrum was confined by the consideration of a single domain wall, therefore the characteristic equation for a periodic DS was not obtained.' In [6] the magnetostatic mode spectrum of a uniaxial platelet with SDS in an external magnetic field normal to its surface is calculated following a theory, where parallel with standard electromagnetic boundary conditions on the domain boundaries new boundary conditions are used. They appear as a result of an application of Gauss' theorem on the magnetic induction flow through a surface surrounding the elementary cell. This theory for the first time applied to account for the bubble lattice resonance conform to experiment [7].In [6] a special case was investigated -magnetostatic waves uniform across the thickness of a platelet (aY/az = 0), what is quite resonable for a thick platelet with d/t 4 1 (2t is the thickness of a platelet). This paper deals with the general case of magnetostatic waves in a thin platelet with SDS magnetized normal to its surface. Only waves propagating along the domains are considered.') 252 127 Kiev, Ukraine.37 physica (b) 170/2
The magnetostatic problem of a coaxial cylindrical magnetic domain (CMD) (two coaxial oppositely magnetized cylinders) is solved. A disintegrated set of equat.ions which doscribe separately surface and volume modes in a CMD and the matrix is derived. The characteristic equations determining t,he eigenfrcquencies of thc ma.gnetostatic modcs arc obtained. It is shown that the uniform mode in CMD is a surface one and its eigenfrequency depends on the ratio of the cylinder radii, whereas the uniform mode in the matrix is a degenerate volume mode with thc corresponding frequency w, yH,.
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