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    This study optimizes the phase diversity (PD) algorithm for wavefront sensing using field-programmable gate arrays (FPGAs). The enhanced algorithm improves computational speed and performance, making it suitable for space optical systems.

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    Area of Science:

    • Optics and Photonics
    • Computer Engineering
    • Aerospace Engineering

    Background:

    • Phase diversity (PD) algorithms are crucial for wavefront sensing but computationally intensive.
    • Population optimization methods, like particle swarm optimization (PSO), are often used but suffer from local extrema and long computation times.
    • These limitations make traditional PD algorithms unsuitable for resource-constrained applications like space optical systems.

    Purpose of the Study:

    • To adapt and optimize the phase diversity algorithm for parallel computing architectures.
    • To improve the computational speed and performance of PD algorithms for wavefront sensing.
    • To enable the application of PD algorithms in power-limited environments such as space optics.

    Main Methods:

    • Analysis and improvement of the phase diversity algorithm and its particle swarm optimization (PSO) solver.
    • Development of a parallel algorithm architecture suitable for field-programmable gate arrays (FPGAs).
    • Implementation and board-level verification of the optimized algorithm on an FPGA.

    Main Results:

    • The developed FPGA-based solution significantly enhances the computational speed of the phase diversity algorithm.
    • The optimized algorithm demonstrates improved performance, overcoming limitations of traditional population optimization methods.
    • Successful board-level verification confirms the algorithm's viability for real-world applications.

    Conclusions:

    • The FPGA implementation provides an efficient and high-performance solution for phase diversity wavefront sensing.
    • This work makes advanced wavefront sensing feasible for space optical systems with limited computing power and energy.
    • The parallel processing approach on FPGAs offers a robust method for computationally demanding optical applications.