Fourier algorithm method for reconstruction of large-aperture digital holograms based on phase compensation

Area of Science:

• Optics and Photonics
• Digital Holography
• Wavefront Reconstruction

Background:

• Digital holography enables 3D reconstruction of objects.
• Large-aperture systems present computational challenges in reconstruction.
• Accurate phase term compensation is crucial for high-fidelity holograms.

Purpose of the Study:

• To develop a simplified and efficient reconstruction algorithm for large-aperture digital holograms.
• To address the computational complexity associated with traditional reconstruction methods.
• To analyze the impact of higher-order phase terms on reconstruction accuracy.

Main Methods:

• A novel Fourier-transformation based reconstruction algorithm is proposed.
• The algorithm compensates for higher-order phase terms when the reconstructed wave matches the reference wave.
• Analysis of the variation between higher-order phase terms and aperture angle in in-line phase-shifting digital holography.

Main Results:

• The proposed algorithm simplifies the reconstruction calculation for large-aperture digital holograms.
• Effective compensation of higher-order phase terms is demonstrated.
• The analysis provides insights into the behavior of phase terms across different fields of view.

Conclusions:

• The novel Fourier-transformation algorithm offers a more efficient approach to digital hologram reconstruction.
• This method enhances the accuracy and practicality of large-aperture digital holography.
• The findings are particularly relevant for in-line phase-shifting digital holography systems.