Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves
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TLDR
A novel method, based on the angular spectrum of plane waves and coordinate rotation in the Fourier domain, removes geometric limitations posed by conventional propagation calculation and enables us to calculate complex amplitudes of diffracted waves on a plane not parallel to the aperture.Abstract:
A novel method for simulating field propagation is presented. The method, based on the angular spectrum of plane waves and coordinate rotation in the Fourier domain, removes geometric limitations posed by conventional propagation calculation and enables us to calculate complex amplitudes of diffracted waves on a plane not parallel to the aperture. This method can be implemented by using the fast Fourier transformation twice and a spectrum interpolation. It features computation time that is comparable with that of standard calculation methods for diffraction or propagation between parallel planes. To demonstrate the method, numerical results as well as a general formulation are reported for a single-axis rotation.read more
Citations
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References
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Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Journal ArticleDOI
Computer-generated holograms of 3-D objects composed of tilted planar segments.
Detlef Leseberg,Christian Frère +1 more
TL;DR: The Fresnel diffraction of tilted planar objects is determined and optical reconstructions of planar segments nearly parallel to the optical axis are demonstrated.
Journal ArticleDOI
Recurrence formulas for fast creation of synthetic three-dimensional holograms
Kyoji Matsushima,M. Takai +1 more
TL;DR: It is demonstrated that a full-parallax hologram with an area of 4800 x 4800 pixels, synthesized for a 3-D object containing 966 point sources of light, is computed within 17 min and is optically reconstructed.
Journal ArticleDOI
Computer-generated three-dimensional image holograms.
TL;DR: A synthetic generation of three-dimensional image holograms is suggested and the complex amplitude in the hologram is calculated by using the spectrum of plane waves.