The discrete spectrum of dipole-exchange spin-wave modes of a tangentially
magnetized cylindrical magnetic dot is calculated from the solution of the
Landau-Lifshitz equation and the magnetostatic Maxwell equations in a cylin
drical geometry. The general surface spin-pinning conditions at the radial
dot boundary are considered. The main simplifying assumptions are: (i) the
dot radius is much larger than the dot height; (ii) the distribution of the
variable magnetization along the dot height is uniform. The approximate di
spersion equation for spin-wave modes in a dot is obtained in a simple anal
ytical form similar to the form of the dispersion equation in an infinite f
ilm. The quantization effect of the spin-wave frequencies appears due to th
e finite dot radius and is essential for submicron magnetic dots. The discr
ete spin-wave frequencies are calculated in a practically important case of
the square array of permalloy cylindrical dots. The relative intensities o
f spin-wave modes, when observed by Brillouin light scattering, are conside
red. The role of interdot dipole-dipole coupling is discussed. (C) 2000 Ame
rican Institute of Physics. [S0021-8979(00)75008-0].