Unlike standard dielectric materials, the interaction of light-sheets of arbitrary wavefronts with a particle exhibiting circular dichroism, such as chiral, topological insulator, liquid crystal, or metamaterials to name a few examples, requires additional fundamental developments from the standpoint of scattering, radiation force and torque theories.The purpose of this work is therefore directed toward developing an exact analytical formalism applicable to a 2D object exhibiting TM ⇄ TE mode conversion and possessing an arbitrary geometrical cross-section. Exact mathematical expressions for the longitudinal and transverse optical radiation force and axial torque components are derived stemming from series expansions for the incident and scattered electromagnetic fields using the mode matching method in cylindrical coordinates. The generalized radiation force and torque expressions depend on the beam-shape coefficients (BSCs) of the incident light-sheet, and the scattering coefficients of the object. Extra new terms describing the generation of the scattered cross-polarized waves induced due to TM ⇄ TE mode conversion contribute to the radiation force and torque series. Numerical illustrative examples for a circular lossy electromagnetic conductor (LEMC) cylinder are provided assuming illumination by various wavefronts, ranging from plane progressive, standing and quasi-standing waves to other non-paraxial Airy light-sheets with linear and circular polarization. In essence, the present theoretical formalism provides a complete analysis in the framework of the generalized Lorenz–Mie theory in 2D for any particle exhibiting circular dichroism in any structured light-sheet. Potential applications are in the design, optimization and the numerical predictions and computation of the optical radiation force and torque for particle transport and rotation in the realm of optical tweezers, particle manipulation and stabilization. Some perspectives are discussed and replies to misleading comments made in the literature on the publication [F.G. Mitri, J Quant Spectro Rad Transf 2020;250:106994] given by Ref. [33] are provided.

与标准介电材料不同，任意波阵面的光片与表现出圆形二向色性的粒子（例如手性，拓扑绝缘体，液晶或超材料等）的相互作用，从散射，辐射的角度出发，都需要进行其他基础开发。因此，这项工作的目的是开发一种精确的分析形式，适用于表现出TM⇄TE模式转换并具有任意几何横截面的2D对象。利用圆柱坐标系中的模式匹配方法，根据入射和散射电磁场的级数展开，得出了纵向和横向光学辐射力和轴向转矩分量的精确数学表达式。广义的辐射力和扭矩表达式取决于入射光片的光束形状系数（BSC）和物体的散射系数。额外的新术语描述了由于TM⇄TE模式转换而引起的散射交叉极化波的产生，这有助于辐射力和转矩序列。提供了圆形有损电磁导体（LEMC）圆柱体的数字示例性示例，这些示例性示例假设被各种波阵面照射，范围从平面渐进波，驻波和准驻波到其他具有线性和圆偏振的非傍轴艾里光片。从本质上讲，当前的理论形式主义在二维Lorenz-Mie广义二维理论框架内，对任何结构化的光片中表现出圆二色性的任何粒子都提供了完整的分析。潜在的应用是在设计，优化以及光镊力领域中用于粒子传输和旋转的光辐射力和扭矩的数值预测和计算，粒子操纵和稳定化。参考文献中讨论了一些观点，并答复了文献中有关出版物[FG Mitri，J Quant Spectro Rad Transf 2020; 250：106994]的误导性评论。提供[33]。参考文献J.Quant Spectro Rad Transf 2020； 250：106994]。提供[33]。参考文献J.Quant Spectro Rad Transf 2020； 250：106994]。提供[33]。