The synthesis of spherical computer-generated holograms is investigated. To deal with the staggering calculation times required to synthesize the hologram, a fast calculation method for approximating the hologram distribution is proposed. In this method, the diffraction integral is approximated as a convolution integral, allowing computation using the fast-Fourier-transform algorithm. The principles of the fast calculation method, the error in the approximation, and results from simulations are presented.
© 2006 Optical Society of America
Original Manuscript: October 7, 2005
Manuscript Accepted: November 24, 2005
Mark L. Tachiki, Yusuke Sando, Masahide Itoh, and Toyohiko Yatagai, "Fast calculation method for spherical computer-generated holograms," Appl. Opt. 45, 3527-3533 (2006)