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Related Experiment Video

Updated: Oct 2, 2025

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

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Published on: February 8, 2014

Real-valued diffraction calculations for computational holography [Invited].

Tomoyoshi Shimobaba, Tatsuki Tahara, Ikuo Hoshi

|February 24, 2022

Summary

This summary is machine-generated.

This study introduces a novel real-valued diffraction calculation for computational holography, eliminating the need for complex-valued operations and complex Fourier transforms. The method enables real-valued holograms and diffracted results, broadening holographic applications.

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Area of Science:

Optics and Photonics
Computational Imaging

Background:

Computational holography, including computer-generated holograms and digital holography, traditionally relies on complex-valued calculations and Fourier transforms.
Certain holographic applications necessitate real-valued outputs, posing a challenge for conventional methods.

Purpose of the Study:

To develop a real-valued diffraction calculation method for computational holography.
To eliminate the requirement for complex-valued operations and transforms in holographic calculations.

Main Methods:

Proposed a diffraction calculation method using only pure real-valued transformations.
Employed the Hartley transformation as a specific real-valued transform, while noting the method's compatibility with other real-valued transformations.
Avoided complex-valued Fourier transforms and associated operations.

Main Results:

Successfully demonstrated a diffraction calculation that operates entirely in the real domain.
The proposed method achieves real-valued holograms and diffracted results without complex-valued computations.
The technique is adaptable to various real-valued transformations beyond the Hartley transform.

Conclusions:

The developed real-valued diffraction calculation offers a viable alternative for holographic applications requiring real-valued outputs.
This approach simplifies computational requirements and expands the scope of computational holography.
The method provides flexibility through its compatibility with different real-valued transformations.