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Journal Article Cylindrical Angular Spectrum Using Fourier Coefficients of Point Light Source and its Application to Fast Hologram Calculation
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Authors
Seungtaik Oh, Il Kwon Jeong
Issue Date
2015-11
Citation
Optics Express, v.23, no.23, pp.1-10
ISSN
1094-4087
Publisher
Optical Society of America(OSA)
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1364/OE.23.029555
Abstract
We will introduce a new simple analytic formula of the Fourier coefficient of the 3D field distribution of a point light source to generate a cylindrical angular spectrum which captures the object wave in 360째 in the 3D Fourier space. Conceptually, the cylindrical angular spectrum can be understood as a cylindrical version of the omnidirectional spectral approach of Sando et al. Our Fourier coefficient formula is based on an intuitive observation that a point light radiates uniformly in all directions. Our formula is defined over all frequency vectors lying on the entire sphere in the 3D Fourier space and is more natural and computationally more efficient for all around recording of the object wave than that of the previous omnidirectional spectral method. A generalized frequency-based occlusion culling method for an arbitrary complex object is also proposed to enhance the 3D quality of a hologram. As a practical application of the cylindrical angular spectrum, an interactive hologram example is presented together with implementation details.
KSP Keywords
3D field, 3D quality, Analytic formula, Angular spectrum, Complex object, Fourier coefficient, Fourier space, Light sources, Occlusion culling, Spectral approach, field distribution
This work is distributed under the term of Creative Commons License (CCL)
(CC BY)
CC BY