We present two methods for generating numerically a one-dimensional ra
ndom surface, defined by the equation x(3) = zeta (x(1)), that has a p
rescribed probability density function of slopes. This problem arises
in the design of a diffuser that scatters light uniformly within a ran
ge of scattering angles and produces no scattering outside this range.
Numerical calculations of the scattering of light from random surface
s generated by these approaches show that the scattered intensity, ind
eed, has a rectangular distribution as a function of the scattering an
gle. (C) 1998 American Institute of Physics. [S0003-6951(98)03340-3].