Natural space plasmas generally exhibit a pronounced high-energy tail
distribution that can best be modeled by a generalized Lorentzian (kap
pa) distribution. We employ the recently introduced modified plasma di
spersion function [Summers and Thorne, 1991] to obtain the dispersion
relation for field aligned electromagnetic waves in such a plasma, and
use this to study the instability properties of R mode and L mode wav
es in the solar wind and in planetary magnetospheres. We demonstrate f
or a wide range of plasma parameters that the growth of R mode waves i
n the solar wind can be significantly enhanced by the presence of a pr
onounced high-energy tail; previous studies based on a Maxwellian dist
ribution could therefore be seriously in error. The corresponding enha
ncement in the growth rate of L mode waves in planetary magnetospheres
is less dramatic, but the kappa distribution tends to produce signifi
cant wave amplification over a broader range of frequency than a Maxwe
llian distribution with comparable bulk properties At frequencies comp
arable to the ion gyrofrequency wave growth is primarily caused by cyc
lotron resonance with ions. Hot anisotropic electrons can nevertheless
influence the instability as a result of changes in the wave phase ve
locity. This modulating effect is most important for a Maxwellian plas
ma and becomes less significant as the spectral index of the kappa dis
tribution is reduced.