Experimental Ih4 plots often show damped oscillating terms. The first
non-oscillating term describing the interface curvature effects is giv
en by the Kirste-Porod formula for regular surfaces. It provides a pos
itive h-2 contribution to Ih4. In the presence of sharp edges and vert
ices on otherwise planar interfaces an additional negative h-2 term oc
curs. A cylinder cutted following a planar section parallel to its axi
s provides the simplest situation where oscillating, positive and nega
tive h-2 terms have to be simultaneously taken into account. The three
additional asymptotic contributions to Ih4 are evaluated. The exact c
orrelation function is calculated. The difference between its fourier
transform and the asymptotic intensity yields an estimate of the negle
cted contribution using the asymptotic expansion. The modification of
the oscillating lh4 pattern resulting from the positive and negative h
-2 contributions is examined.