Earlier work pointed out that the radar cross section (RCS), owing to the d
ouble-passage effect on waves propagating through random media, is enhanced
by a factor ranging from one up to three. However, our study has manifeste
d numerically a strong enhancement in RCS of targets with concave-convex su
rfaces in continuous random media, by taking account of boundary conditions
of waves on targets. We have found that when a plane wave illuminates a co
nvex portion of the concave-convex conducting target in a random medium, th
e factor of enhancement oscillates about two with target size. Moreover, th
is enhancement becomes quite large at certain target shapes and also under
a specific condition of target size and spatial coherence length of the inc
ident H-wave. The large enhancement is considered as an anomalous feature i
n the behaviour of backscattered waves in random media. By analysing the sc
attering problem for beam-wave incidence on the same target in free space,
we manifest the mechanism of such anomalous enhancement.