Scaled diffraction calculation between tilted planes using nonuniform fast Fourier transform.

A method of diffraction calculation between tilted planes with variable sampling rates is proposed. The proposed method is based on the Fourier spectrum rotation from a tilted plane to a parallel plane. The nonuniform fast Fourier transformation (NUFFT) is used to calculate the nonuniform sampled Fourier spectrum on the tilted plane with variable sampling rates, which overcomes the sampling restriction of FFT in the conventional method. Both of the computer simulation and the optical experiment shows the feasibility of our method in calculating the hologram of polygon-based object with scalable size, which can be considered as an important application in the holographic three-dimensional display.

[1]  Detlef Leseberg,et al.  Computer-generated holograms of 3-D objects composed of tilted planar segments. , 1988, Applied optics.

[2]  Leslie Greengard,et al.  Accelerating the Nonuniform Fast Fourier Transform , 2004, SIAM Rev..

[3]  John Watson,et al.  Computer generated holograms from three dimensional meshes using an analytic light transport model. , 2008, Applied optics.

[4]  A Finizio,et al.  Angular spectrum method with correction of anamorphism for numerical reconstruction of digital holograms on tilted planes. , 2005, Optics express.

[5]  K. Matsushima.  Computer-generated holograms for three-dimensional surface objects with shade and texture. , 2005, Applied optics.

[6]  Jian-Wen Dong,et al.  High-speed full analytical holographic computations for true-life scenes. , 2010, Optics express.

[7]  Kyoji Matsushima,et al.  Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method. , 2009, Applied optics.

[8]  Vladimir Rokhlin,et al.  Fast Fourier Transforms for Nonequispaced Data , 1993, SIAM J. Sci. Comput..

[9]  Yongtian Wang,et al.  Fast polygon-based method for calculating computer-generated holograms in three-dimensional display. , 2013, Applied optics.

[10]  Q. Liu,et al.  An accurate algorithm for nonuniform fast Fourier transforms (NUFFT's) , 1998 .

[11]  Chris Slinger,et al.  Computer-generated holography as a generic display technology , 2005, Computer.

[12]  Mark E. Lucente,et al.  Interactive computation of holograms using a look-up table , 1993, J. Electronic Imaging.

[13]  F. Wyrowski,et al.  Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.