采用功率谱反演法模拟了同轴叠加产生的双拉盖尔-高斯涡旋光束（Double Laguerre-Gaussian Vortex Beam，DLGVB）在海洋湍流中传输时的光强和相位分布，仿真分析了DLGVB光束在不同海洋湍流参数下的闪烁指数以及在基于开关键控调制的水下光通信系统中的通信误码率。结果表明，随着湍流动能耗散率的减小，盐度温度波动平衡参数、温度方差耗散率及传输距离的增加，闪烁指数逐渐增加；随着湍流动能耗散率以及拓扑电荷差值的增加，误码率减小。在海洋湍流环境下，使用DLGVB光束进行传输可以抑制海洋湍流带来的干扰，选择最佳的拓扑电荷差值，可以有效提高传输通信质量及通信系统容量。本文研究结果对涡旋光束及其叠加态在海洋湍流下传输特性研究及水下光通信系统持续扩容的发展需求方面具有重要的参考价值。

Toroidal multipole is a special current distribution that has many different characteristics from electric multipole and magnetic multipole distributions. Because of its special properties, the toroidal dipole is a research hotspot in the field of metamaterials and nanophotonics. However, the low scattering of the toroidal dipole moment makes its excitation a challenging task. At present, there are relatively few studies on its specific engineering applications. In this paper, by slotting in the rectangular cavity, the excitation of an equivalent toroidal dipole is successfully achieved over a wide frequency range of 53–58 GHz. Results indicate that under the action of the toroidal dipole, the TE10 mode electromagnetic waves transmitted in the rectangular waveguide are converted into vector beams and are radiated outwards. Further adjusting the spatial distribution of the magnetic dipoles in the toroidal dipoles yields results that indicate that the resonance mode in the slot is still dominated by the magnetic toroidal dipole moment, and the electromagnetic waves radiating outward are vortex beams carrying vector polarization. The scattered energy of each dipole moment inside the antenna is calculated. This calculation verifies that the mass of the vector beam and vector vortex beam is closely related to the toroidal dipole supported by this antenna. The proposed structure can be applied to explorations in vortex filtering, in photon entanglement, and in the photonic spin Hall effect.

As an inherent degree of freedom, total angular momentum (TAM) of photons consisting of spin angular momentum and orbital angular momentum has inspired many advanced applications and attracted much attention in recent years. Probing TAM and tailoring beam’s TAM spectrum on demand are of great significance for TAM-based scenarios. We propose both theoretically and experimentally a TAM processor enabling tunable TAM manipulation. Such a processor consists of a set of quasi-symmetric units, and each unit is composed of a couple of diffraction optical elements fabricated through polymerized liquid crystals. Forty-two single TAM states are experimentally employed to prove the concept. The favorable results illustrate good TAM state selection performance, which makes it particularly attractive for high-speed large-capacity data transmission, optical computing, and high-security photon encryption systems.

为了分析和研究Cosh-Pearcey-Gaussian涡旋 (CPeGV)光束的传播特性，通过皮尔斯积分式得到了CPeGV光束传播的一般表达式，推导出CPeGV光束在单轴晶体中传播的解析式。详细研究了CPeGV光束在单轴晶体中传播时的纵向和横向坡印廷矢量和角动量密度(AMD)。探讨了双曲余弦参数、拓扑电荷和传播距离对CPeGV光束传播特性的影响。研究结果表明：与PeG光束相比，CPeGV光束的调制自由度更高。较大的双曲余弦调制参数可以控制能量沿横向坡印廷矢量方向传递，从而不仅可以改变能量分布也可以使AMD峰值变大。在远场，CPeGV光束的纵向坡印廷矢量随着双曲余弦参数的增大会从抛物线形状分离为四个波瓣的分布形状。而拓扑电荷会影响远场抛物线形状中暗区的数量。本文研究将有助于更好地理解 CPeGV光束在单轴晶体中的传播特性，并有助于信息传输和存储的应用。

目前，具有螺旋相位波前和环状光强分布的涡旋光束已在光学领域获得了广泛应用，其产生与调控自然成了研究的热点。利用三维粒子模拟程序对双色拉盖尔高斯激光驱动固体等离子激发同时携带自旋角动量与轨道角动量的高次谐波的物理过程进行了研究，根据高次谐波产生过程中的光子能量与角动量守恒定律对其内在物理机制进行了理论分析，并讨论了对谐波阶次、偏振态（自旋角动量）以及拓扑荷数（轨道角动量）进行调控的方法。研究结果为开发高亮度、超短超快、短波长、自旋与轨道角动量可调控的涡旋光束辐射源提供了理论依据，在光学微操控、超分辨成像、光通信以及离子加速等领域具有较大的实际应用前景。

结合角谱展开方法和矢量势方法，推导了拉盖尔高斯涡旋光束在石墨烯表面反射后的电磁场分量显式表达式。分析了光束的入射角和拓扑荷数，以及石墨烯-衬底系统的费米能量和磁场对涡旋光束在石墨烯表面反射后局域动力学特性的影响。数值结果表明，石墨烯表面反射涡旋光束的能量、动量、自旋/轨道角动量密度分布随着光束入射角和拓扑荷数的变化发生显著变化。同时，改变石墨烯-衬底系统的费米能量和磁场可以有效调节反射涡旋光束的局域动力学特性。为基于涡旋光束局域动力学特性对石墨烯的表征以及基于石墨烯对涡旋光束的调控奠定了理论基础。