W. Press et al., NON-GAUSSIAN ROUGHNESS OF INTERFACES - CUMULANT EXPANSION IN X-RAY AND NEUTRON REFLECTIVITY, Journal of applied crystallography, 30, 1997, pp. 963-967
Within the Born approximation, a cumulant expansion is used for the fo
rmulation of X-ray or neutron reflectivity. Odd- (third-) order cumula
nts indicate asymmetric profiles; they may only be detected in layer s
ystems via a Q(z). dependence of the oscillation period of Kiessig fri
nges. Fourth-order cumulants are also visible in the larger Q(z) regim
e for single interface systems. As an example of an asymmetric surface
, a triangular height distribution function is discussed.