Measurement of optical coherence structures of random optical fields using generalized Arago spot experiment
광의의 Arago 반점 실험으로 무작위 광장의 광학 상간 구조를 측정하다
Medición de la estructura de coherencia óptica del campo de luz aleatorio con experimentos de manchas Arago generalizadas
Mesure de la structure optiquement cohérente d'un champ lumineux aléatoire avec l'expérience généralisée Arago spot
Измерение оптической когерентной структуры случайных оптических полей с помощью широкого эксперимента с пятнами Араго
Xin Liu 刘欣 ¹ ², Qian Chen 陈倩 ¹ ², Jun Zeng 曾军 ¹ ², Yangjian Cai 蔡阳健 ¹ ², Chunhao Liang 梁春豪 ¹ ²
¹ Shandong Provincial Engineering and Technical Center of Light Manipulation & Shandong Provincial Key Laboratory of Optics and Photonic Devices, School of Physics and Electronics, Shandong Normal University, Jinan 250014, China
中国 济南 山东师范大学物理与电子科学学院 山东省光场调控工程技术中心 山东省光学与光子器件技术重点实验室
² Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China
中国济南 山东师范大学光场调控及应用协同创新中心
Opto-Electronic Science, 9 March 2023

The optical coherence structures of random optical fields can determine beam propagation behavior, light–matter interactions, etc. Their performance makes a light beam robust against turbulence, scattering, and distortion. Recently, we proposed optical coherence encryption and robust far-field optical imaging techniques. All related applications place a high demand on precision in the experimental measurements of complex optical coherence structures, including their real and imaginary parts.

Past studies on these measurements have mainly adopted theoretical mathematical approximations, limited to Gaussian statistic involving speckle statistic (time-consuming), or used complicated and delicate optical systems in the laboratory. In this study, we provide: a robust, convenient, and fast protocol to measure the optical coherence structures of random optical fields via generalized Arago (or Poisson) spot experiments with rigorous mathematical solutions. Our proposal only requires to capture the intensity thrice, and is applicable to any optical coherence structures, regardless of their type or optical statistics.

The theoretical and experimental results demonstrated that the real and imaginary parts of the structures could be simultaneously recovered with high precision. We believe that such a protocol can be widely employed in phase measurement, optical imaging, and image transfer.
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