Multi-depth phase-only hologram optimization using the L-BFGS algorithm with sequential slicing.

Area of Science:

• Optics and Photonics
• Computational Imaging
• Computer-Generated Holography

Background:

• Phase-only computer-generated holograms (HGs) are crucial for 3D display technologies.
• Optimizing HGs for multi-depth targets presents challenges in reconstruction quality and computational efficiency.
• Existing methods often require full 3D reconstruction, increasing computational load.

Purpose of the Study:

• To develop an efficient optimization method for phase-only HGs targeting multi-depth 3D objects.
• To improve the quality and reduce computational cost of holographic 3D reconstructions.
• To investigate the effectiveness of L-BFGS optimization with sequential slicing for HG synthesis.

Main Methods:

• Implementation of limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) optimization algorithm.
• Introduction of a sequential slicing (SS) technique for partial hologram evaluation during optimization.
• Focusing optimization loss calculation on single slices of the 3D reconstruction per iteration.

Main Results:

• Demonstrated successful optimization of phase-only HGs for multi-depth 3D targets.
• Achieved significant suppression of image quality imbalance using the L-BFGS with SS method.
• The L-BFGS algorithm's ability to record curvature information proved beneficial for quality suppression.

Conclusions:

• The L-BFGS with SS technique offers an efficient and effective approach for optimizing phase-only HGs.
• This method enhances the quality of multi-depth 3D holographic reconstructions.
• The proposed technique provides a viable solution for reducing computational complexity in HG synthesis.