A theoretical approach to the consideration of coupling between Alfven
and compressional modes in two-dimensionally inhomogeneous plasma has
been developed. The conversion of a compressional mode, propagating a
long a high-density layer perpendicular to the magnetic field, into le
aking shear Alfven waves has been considered. The wave spatial structu
re along the layer is described in WKB approximation. A compressional-
type disturbance effectively emitts Alfven waves when a local resonant
condition within the layer is fulfilled. In contrast with the common
field line resonance theory, the excited Alfven modes are assumed to b
e running away waves but not standing oscillations. The physical situa
tions that correspond to the considered model can be met in the outer
near-equatorial magnetosphere, in the exterior cusp region, and in the
other magnetospheres such as Jupiter and Saturn.