Shifted Fresnel diffraction for computational holography.

Fourier-based approaches to calculate the Fresnel diffraction of light provide one of the most efficient algorithms for holographic computations because this permits the use of the fast Fourier transform (FFT). This research overcomes the limitations on sampling imposed by Fourier-based algorithms by the development of a fast shifted Fresnel transform. This fast shifted Fresnel transform is used to develop a tiling approach to hologram construction and reconstruction, which computes the Fresnel propagation of light between parallel planes having different resolutions.

[1]  Kyoji Matsushima,et al.  Wave optical algorithm for creating digitally synthetic holograms of three-dimensional surface objects , 2003, IS&T/SPIE Electronic Imaging.

[2]  David H. Bailey,et al.  The Fractional Fourier Transform and Applications , 1991, SIAM Rev..

[3]  Toshio Honda,et al.  High-speed holographic-stereogram calculation method using 2D FFT , 1997, Photonics West.

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

[5]  L. Onural,et al.  Simulation of scalar optical diffraction between arbitrarily oriented planes , 2004, First International Symposium on Control, Communications and Signal Processing, 2004..

[6]  K Matsushima,et al.  Recurrence formulas for fast creation of synthetic three-dimensional holograms. , 2000, Applied optics.

[7]  Levent Onural,et al.  Signal processing issues in diffraction and holographic 3DTV , 2005, 2005 13th European Signal Processing Conference.

[8]  Mark E. Lucente.  Holographic bandwidth compression using spatial subsampling , 1996 .

[9]  Carlos Ferreira,et al.  Fast algorithms for free-space diffraction patterns calculation , 1999 .

[10]  Harold R. Garner,et al.  Holographic video display using digital micromirrors (Invited Paper) , 2005, SPIE OPTO.

[11]  R. Dorsch,et al.  Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm. , 1996, Applied optics.

[12]  Mark Lucente.  Diffraction-specific fringe computation for electro-holography , 1994 .

[13]  Tomoyoshi Ito,et al.  One-unit system for electroholography by use of a special-purpose computational chip with a high-resolution liquid-crystal display toward a three-dimensional television. , 2004, Optics express.

[14]  Frank Wyrowski,et al.  New creation algorithm for digitally synthesized holograms in surface model by diffraction from tilted planes , 2002, IS&T/SPIE Electronic Imaging.

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

[16]  Joseph Rosen,et al.  Computer-generated holograms of three-dimensional objects synthesized from their multiple angular viewpoints. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.