title: Fast calculation method for computer-generated cylindrical holograms based on the three-dimensional Fourier spectrum.
abstract: The relation between a three-dimensional (3D) object and its diffracted wavefront in the 3D Fourier space is discussed at first and then a rigorous diffraction formula onto cylindrical surfaces is derived. The azimuthal direction and the spatial frequency direction corresponding to height can be expressed with a one-dimensional (1D) convolution integral and a 1D inverse Fourier transform in the 3D Fourier space, respectively, and fast Fourier transforms are available for fast calculation. A numerical simulation of a diffracted wavefront on cylindrical surfaces is presented. An alternative optical experiment equivalent of the optical reconstruction from cylindrical holograms is also demonstrated.
authors.forename: Yusuke
authors.initials: Y
authors.lastname: Sando
authors.forename: Daisuke
authors.initials: D
authors.lastname: Barada
authors.forename: Boaz Jessie
authors.initials: BJ
authors.lastname: Jackin
authors.forename: Toyohiko
authors.initials: T
authors.lastname: Yatagai
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D006696:Holography / Q000379:methods*; D013997:Time Factors