Greedy algorithm-based compensation for target speckle phase in heterodyne detection

Speckle is a significant problem that hinders optical heterodyne signal detection via the array detector method, with the efficiency of existing phase compensation algorithms severely limited by the number of array elements. This study simplifies the original phase compensation model and proposes a phase compensation calculation method based on a greedy algorithm. Numerical and experimental results show that the proposed algorithm is stable and 3–4 orders of magnitude faster than the others, avoiding the performance degradation typically associated with an increasing array number, enabling real-time data processing. This suggests that high application potential in areas such as synthetic aperture lidar and laser vibration measurement.