Advancements in Computer-Generated Holographic Communication: A Comprehensive Comparative Study of Holographic Algorithms for Enhanced Security in Communication Systems
Md. Rakib Hossain, S M Abdur Razzak
Abstract
This study investigates the utilization of computer-generated holograms (CGH) in secure communication systems, employing three advanced algorithms: Fraunhofer, Gerchberg-Saxton (GS), and Fresnel. At the transmitter, digital holograms of the main and reference objects are generated and combined for transmission. At the receiver, these holograms are separated to reconstruct the main object image. The Fraunhofer algorithm generates holograms by combining far-field amplitudes but suffers from image overlapping issues, while the GS algorithm iteratively enhances phase retrieval but the procedure is not so fast. On the other hand, The Fresnel algorithm utilizes Fast Fourier Transform for hologram calculation. However, the proposed advanced Fresnel Fourier hologram method demonstrates promising results for efficient transmission and reception due to its fast processing and high-quality reconstruction with an entropy of 7.9895, redundancy of 0.0105, and RMSE of 0.84, outperforming Fraunhofer's entropy of 7.4232 and RMSE of 1.02, as well as GS’s redundancy of 0.0120 and RMSE of 0.72. This study shows the most uniform pixel distribution and lower correlation between adjacent pixels and sets the stage for the practical implementation of secure communicative CGH systems, offering enhanced security in communication through nearly impossible decoding of transmitted holograms without reference information. The study also emphasizes the significance of iterative techniques like Gerchberg-Saxton (GS) for enhancing phase retrieval accuracy in addition to addressing image overlapping issues. Furthermore, subsequent investigations could focus on real-world applications and developments in CGH technology to address changing requirements in secure communication networks.
Conclusion
This research developed a secure communication system using three algorithms: Fraunhofer diffraction, Gerchberg-Saxton (GS), and advanced Fresnel diffraction. While Fraunhofer faced limitations with twin images, the GS algorithm effectively reconstructed 3D objects. The advanced Fresnel method excelled in contrast and entropy, making it the preferred choice. An improved Fresnel-based CGH calculation program enhanced protective hologram complexity while ensuring system compatibility. Future research could explore applications in holographic storage, authentication, navigation, and interactive displays, integrating technologies such as facial recognition and fingerprint detection to drive practical advancements in holography.
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