Kinoforms (i.e., computer-generated phase holograms) are designed with
a new algorithm, the optimal-rotation-angle method, in the paraxial d
omain. This is a direct Fourier method (i.e., no inverse transform is
performed) in which the height of the kinoform relief in each discrete
point is chosen so that the diffraction efficiency is increased. The
optimal-rotation-angle algorithm has a straightforward geometrical int
erpretation. It yields excellent results close to, or better than, tho
se obtained with other state-of-the-art methods. The optimal-rotation-
angle algorithm can easily be modified to take different restraints in
to account; as an example, phase-swing-restricted kinoforms, which dis
tribute the light into a number of equally bright spots (so called fan
-outs), were designed. The phase-swing restriction lowers the efficien
cy, but the uniformity can still be made almost perfect.