We investigate magnetostatic modes of lateral magnetic superlattices compos
ed of metallic magnetic layers and insulating nonmagnetic layers, with an e
ffective-medium theory. We assume that the in-plane waves always propagate
normal to the static magnetization for an arbitrary external field applied
parallel to the surface, and that the damping results from eddy currents. S
ome particular features of the frequency and damping are seen, for example,
the damping is not the lowest for a higher applied field Vertical to the m
agnetic-nonmagnetic layers, but it is the lowest fur a smaller applied fiel
d. These features of the frequency and damping are not only governed by the
conductivity and wave number, hut also by the direction and magnitude of e
xternal magnetic field. The patterns of obtained calculation curves are com
plicated. Our results in the limiting case of conductivity sigma=0 are cons
istent with those in the previous works. The numerical calculations are pre
sented for the Ni-vacuum superlattice.