Computer-generated phase-only holograms can be used for laser beam shaping, i.e., for focusing a given aperture with intensity and phase distributions into a pregiven intensity pattern in their focal planes. A numerical approach based on iterative finite-element mesh adaption permits the design of appropriate phase functions for the task of focusing into two-dimensional reconstruction patterns. Both the hologram aperture and the reconstruction pattern are covered by mesh mappings. An iterative procedure delivers meshes with intensities equally distributed over the constituting elements. This design algorithm adds new elementary focuser functions to what we call object-oriented hologram design. Some design examples are discussed.
© 1996 Optical Society of America
Original Manuscript: March 22, 1996
Revised Manuscript: July 29, 1996
Published: December 10, 1996
Thomas Dresel, Mathias Beyerlein, and Johannes Schwider, "Design of computer-generated beam-shaping holograms by iterative finite-element mesh adaption," Appl. Opt. 35, 6865-6874 (1996)