全面认识光在传输与变换过程中的统计光学特性（如光谱、相干、偏振等）一直是基础和前沿光学中一个重要的研究主题。结合光场的相干性、偏振性和相位调制的随机电磁涡旋光束的传输问题是近年来备受广泛关注的前沿性基础学术课题，已经取得的研究成果无疑会大大推动光通讯、激光加工、粒子操控等应用领域的发展。该项目拟通过理论分析、数值模拟和部分关键实验，研究随机电磁涡旋光束在随机介质中的传输特性，在电磁感应透明气体、光子晶体、手性材料中的传输特性，在失调光学系统中传输特性，在受限光学系统中传输特性，非傍轴条件下的传输特性和通过大数值孔径聚焦系统的聚焦特性等。在深入研究其传输和变换特性的基础上，进而实现对随机电磁涡旋光束传输中的统计光学特性的有效调控，并丰富和延伸研究领域。开展该项目的研究，有助于丰富和发展统计光学理论，在理论创新的基础上解决若干实际应用问题，该工作具有重要的科学意义和潜在应用价值。

Studies on the statistical optical properties (for example, optical spectrum, optical coherence, optical polarization, etc.) of light beams on propagation and transformation are always an important topic in fundamental and frontier optics. The propagation of stochastic electromagnetic vortex beams combined with optical coherence, polarization and phase modulation is becoming a fundamental and frontier scientific subject in recent years, the obtained results will largely promote developments in applications on optical communications, laser machining, particles manipulating, etc. In this subject we will perform theoretical analyses, numerical simulations and some key experiments to study the propagation and transformation of stochastic electromagnetic vortex beams in or through some random media, electromagnetic-induced transparency (EIT) atomic vapor, photonic crystals, chiral media, misaligned optical systems, apertured optical systems, nonparaxial cases, high numerical aperture focused systems, etc. Based on these studies, we will really want to realize its effective modulation of the statistical optical properties of stochastic electromagnetic vortex beams on propagation, and then extend our studies. The intention of this project is to enrich the subject of statistical optics and solve some practical application problems, which has important scientific value and potential application value.