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  • https://doi.org/10.1109/tim.2023.3341104Copy DOI Icon

Real-Time Wavefront Measurement Based on GPU-Accelerated Parallel Algorithm Using Phase Diversity Images

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Abstract

In this study, we introduce a novel real-time measurement and correction method for time-varying wavefront aberrations. Central to this method is a graphics processing unit (GPU)-accelerated parallel algorithm based on phase diversity images. We apply an approximate model for the point spread function (PSF) to reduce the computational load of error metric minimization. We forge a parallel framework that independently measures each aberration mode by deriving an object-independent error metric and its gradient. Numerical experiments with actual Kolmogorov model-based data were conducted to assess the measurement performance and real-time feasibility of the proposed method. When juxtaposed with the global optimization algorithm, the proposed method improved the computation speed by up to <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$1300\times $ </tex-math></inline-formula>, while maintaining measurement accuracy. Moreover, we executed benchmark tests on diverse hardware configurations, thereby verifying the real-time viability of GPU acceleration. The GPU achieved a <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$6.8\times $ </tex-math></inline-formula> improvement in computational speed compared to the CPU. Seamlessly integrating a linear quadratic regulator (LQR) controller into the adaptive optics (AO) system, we zeroed in on the real-time correction of dynamic aberrations. The empirical results exhibited an operational speed of 90 Hz in a realistic environment for correcting only three types of aberrations (astigmatism, defocus, and coma). Furthermore, we demonstrated the correction capability for large-scale aberrations, proving that the proposed method is scalable relative to the intensity of aberrations. In conclusion, this study paves the way for a combination of real-time execution and precise wavefront aberration correction in a sensorless AO, establishing a novel standard for future development and enhancements in wavefront sensing technology.

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