Quantifying the coherence properties of complex optical fields is essential for applications ranging from high power laser arrays to quantum coherent systems. Here, we present a new paradigm for coherence retrieval inspired by the Gerchberg Saxton framework, enabling reconstruction of the first order spatial coherence function (mutual intensity) of partially coherent light from intensity measurements in the near and far fields. We introduce two complementary approaches: a four dimensional Tensor GS algorithm that directly reconstructs the mutual intensity with high accuracy, and a Monte Carlo GS variant that significantly reduces computational cost at the expense of controlled approximation. We validated both methods by reconstructing partially coherent fields in simulated linear and ring arrays of up to 600 beams with prescribed Gaussian decaying coherence. Experimentally, we applied the Tensor GS method to a triangular array of 130 coupled lasers with inhomogeneous spatial coherence, achieving good agreement with theory and a root mean square phase error as low as 2pi over 250.
Non-reciprocal emissivity, partial coherence, and amplification of internal energy from photon recycling when thermal radiation is sourced within matter
Efficient hot electron generation via low-coherence lasers
Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences（中国科学院上海光学精密机械研究所）；Shenzhen Campus of Sun Yat-sen University（中山大学深圳校区）；China Academy of Engineering Physics（中国工程物理研究院）；Institute of Applied Physics and Computational Mathematics（应用物理与计算数学研究所）
Experimental robustness of Fourier Ptychography phase retrieval algorithms
University of California, Berkeley（加州大学伯克利分校）；École Normale Supérieure（巴黎高等师范学院）；Colorado School of Mines（科罗拉多矿业学院）；University of Southern California（南加州大学）
