Non-Iterative Phase-Only Hologram Generation via Stochastic Gradient Descent Optimization

In this work, we explored, for the first time, to the best of our knowledge, the potential of stochastic gradient descent (SGD) to optimize random phase functions for application in non-iterative phase-only hologram generation. We defined and evaluated four loss functions based on common image quali...

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Bibliographic Details
Main Authors: Alejandro Velez-Zea, John Fredy Barrera-Ramírez
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Photonics
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Online Access:https://www.mdpi.com/2304-6732/12/5/500
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Summary:In this work, we explored, for the first time, to the best of our knowledge, the potential of stochastic gradient descent (SGD) to optimize random phase functions for application in non-iterative phase-only hologram generation. We defined and evaluated four loss functions based on common image quality metrics and compared the performance of SGD-optimized random phases with those generated using Gerchberg–Saxton (GS) optimization. The quality of the reconstructed holograms was assessed through numerical simulations, considering both accuracy and computational efficiency. Our results demonstrate that SGD-based optimization can produce higher-quality phase holograms for low-contrast target scenes and presents nearly identical performance to GS-optimized random phases for high-contrast targets. Experimental validation confirmed the practical feasibility of the proposed method and its potential as a flexible alternative to conventional GS-based optimization.
ISSN:2304-6732