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    We introduce optimized random phases (ORAPs) to reduce speckle noise in double random phase encryption (DRPE). This method enhances encryption performance and decryption quality, achieving results comparable to phase-only holograms.

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    Area of Science:

    • Optics
    • Information Security
    • Digital Image Processing

    Background:

    • Double Random Phase Encryption (DRPE) is a widely used encryption technique.
    • DRPE schemes often suffer from speckle noise due to the convolution of random phase functions, degrading performance.
    • Existing methods struggle to mitigate this noise effectively.

    Purpose of the Study:

    • To propose and validate the use of optimized random phases (ORAPs) in DRPE for the first time.
    • To significantly reduce speckle noise in DRPE systems.
    • To enhance the overall performance and decryption quality of DRPE.

    Main Methods:

    • Implementing a novel DRPE scheme utilizing optimized random phases (ORAPs).
    • Analyzing the conditions under which ORAPs drastically reduce speckle noise.
    • Comparing decryption quality with traditional DRPE and phase-only hologram reconstruction (e.g., Gerchberg-Saxton algorithm).
    • Conducting both numerical simulations and experimental validations.

    Main Results:

    • ORAPs drastically reduce speckle noise under specific, easily achievable conditions.
    • The proposed ORAPs ensure the encrypted data is a phase-only function.
    • Decryption quality is significantly improved, comparable to phase-only hologram reconstruction.
    • Numerical and experimental results confirm the effectiveness of the ORAPs-based DRPE.

    Conclusions:

    • Optimized random phases (ORAPs) offer a significant improvement over traditional random phases in DRPE.
    • The ORAPs-based DRPE scheme enhances system performance and security while reducing noise.
    • This approach provides a practical and effective solution for secure optical encryption.