Real-valued diffraction calculations for computational holography [Invited]

Computational holography, encompassing computer-generated holograms and digital holography, utilizes diffraction calculations based on complex-valued operations and complex Fourier transforms. However, for some holographic applications, only real-valued holograms or real-valued diffracted results ar...

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Bibliographic Details
Published in:Applied optics (2004) 2022-02, Vol.61 (5), p.B96
Main Authors: Shimobaba, Tomoyoshi, Tahara, Tatsuki, Hoshi, Ikuo, Shiomi, Harutaka, Wang, Fan, Hara, Takayuki, Kakue, Takashi, Ito, Tomoyoshi
Format: Article
Language:English
Subjects:
Diffraction
Digital computers
Fourier transforms
Holograms
Holography
Mathematical analysis
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Summary:Computational holography, encompassing computer-generated holograms and digital holography, utilizes diffraction calculations based on complex-valued operations and complex Fourier transforms. However, for some holographic applications, only real-valued holograms or real-valued diffracted results are required. This study proposes a real-valued diffraction calculation that does not require any complex-valued operation. Instead of complex-valued Fourier transforms, we employ a pure real-valued transform. Among the several real-valued transformations that have been proposed, we employ the Hartley transformation. However, our proposed method is not limited to this transformation, as other real-valued transformations can be utilized.
ISSN:1559-128X
2155-3165
DOI:10.1364/ao.443439