Kinoforms (i.e., computer-generated phase holograms) are designed with a new algorithm, the optimal-rotation-angle method, in the paraxial domain. 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 interpretation. It yields excellent results close to, or better than, those obtained with other state-of-the-art methods. The optimal-rotation-angle algorithm can easily be modified to take different restraints into account; as an example, phase-swing-restricted kinoforms, which distribute the light into a number of equally bright spots (so called fan-outs), were designed. The phase-swing restriction lowers the efficiency, but the uniformity can still be made almost perfect.
© 1994 Optical Society of America
Original Manuscript: November 16, 1993
Revised Manuscript: April 20, 1994
Published: October 10, 1994
Jörgen Bengtsson, "Kinoform design with an optimal-rotation-angle method," Appl. Opt. 33, 6879-6884 (1994)