  We show that for a legitimate communication under multipath quasi-static
fading with a reduced number of scatterers, it is possible to achieve perfect
secrecy even in the presence of a passive eavesdropper for which no channel
state information is available. Specifically, we show that the outage
probability of secrecy capacity (OPSC) is zero for a given range of average
signal-to-noise ratios (SNRs) at the legitimate and eavesdropper's receivers.
As an application example, we analyze the OPSC for the case of two scatterers,
explicitly deriving the relationship between the average SNRs, the secrecy rate
$R_s$ and the fading model parameters required for achieving perfect secrecy.
The impact of increasing the number of scatterers is also analyzed, showing
that it is always possible to achieve perfect secrecy in this scenario,
provided that the dominant specular component for the legitimate channel is
sufficiently large compared to the remaining scattered waves.
