Laguerre–Gaussian (LG) beams with vortex phase possess a handedness, which would produce chiroptical interactions with chiral matter and may be used to probe structural chirality of matter. In this paper, we numerically investigate the light scattering of LG vortex beams by chiral particles. Using the vector potential method, the electric and magnetic field components of the incident LG vortex beams are derived. The method of moments (MoM) based on surface integral equations (SIEs) is applied to solve the scattering problems involving arbitrarily shaped chiral particles. The numerical results for the differential scattering cross sections (DSCSs) of several selected chiral particles illuminated by LG vortex beams are presented and analyzed. In particular, we show how the DSCSs depend on the chiral parameter of the particles and on the parameters describing the incident LG vortex beams, including the topological charge, the state of circular polarization, and the beam waist. This research may provide useful insights into the interaction of vortex beams with chiral particles and its further applications.

中文翻译：

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任意形状手性粒子对拉盖尔-高斯涡旋光束的光散射

具有涡旋相位的拉盖尔-高斯 (LG) 光束具有旋向性，这会与手性物质产生手性相互作用，可用于探测物质的结构手性。在本文中，我们数值研究了手征粒子对 LG 涡旋光束的光散射。使用矢量电位法，可以推导出入射LG涡旋光束的电场和磁场分量。应用基于表面积分方程（SIE）的矩量法（MoM）来解决涉及任意形状手性粒子的散射问题。介绍和分析了由 LG 涡旋光束照射的几种选定手性粒子的差分散射截面 (DSCS) 的数值结果。特别是，我们展示了 DSCS 如何依赖于粒子的手征参数和描述入射 LG 涡旋光束的参数，包括拓扑电荷、圆偏振状态和束腰。这项研究可能为涡旋光束与手性粒子的相互作用及其进一步应用提供有用的见解。