The photophoretic asymmetry factors (PAFs) for an absorptive dielectric circular cylinder, located near a perfectly conducting and totally reflecting corner space are derived and computed. The method used in this analysis relies on the modal expansion method in cylindrical coordinates, the classical method of images, and the translational addition theorem of cylindrical wave functions. Initially, the components of the internal electric field vector are obtained stemming from an analysis of the scattering. Subsequently, the solution is used to integrate to the normalized intensity function over the cylinder’s volume to obtain the longitudinal (L) and transverse (T) PAFs. Both TM- and TE-polarized plane progressive waves with arbitrary incidence (in the polar plane) are considered. Attention is given to varying the dimensionless size parameter of the cylinder, the angle of incidence of the incoming waves, and the dimensionless distance parameters from the corner space. Numerical examples illustrate the analysis and demonstrate the net effect of the totally reflecting corner space on the L- and T-PAFs, where negative, positive, and neutral values have been predicted. The results are relevant in applications related to the emergence of the photophoretic force and torque on an absorptive particle located near surfaces and topics in electromagnetic/optical scattering, particle manipulation and assembly, optically bound matter, light–matter interactions, and photopheresis.

中文翻译：

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完美导电角空间对吸收性介质圆柱体 PAF 的影响

导出并计算了位于完美导电和全反射角空间附近的吸收性介质圆柱体的光泳不对称因子 (PAF)。本次分析所用的方法依赖于柱坐标中的模态展开法、图像的经典方法以及柱面波函数的平移加法定理。最初，内部电场矢量的分量源于对散射的分析。随后，该解决方案用于对圆柱体体积上的归一化强度函数进行积分，以获得纵向 (L) 和横向 (T) PAF。TM 和 TE 偏振平面渐进波具有任意入射（在极平面）。注意改变圆柱体的无量纲尺寸参数、入射波的入射角和角空间的无量纲距离参数。数值示例说明了分析并证明了全反射角空间对 L-PAF 和 T-PAF 的净影响，其中预测了负值、正值和中性值。研究结果与位于表面附近的吸收性粒子上的光泳力和扭矩的出现有关，以及电磁/光散射、粒子操纵和组装、光学束缚物质、光-物质相互作用和光分离等主题的应用。数值示例说明了分析并证明了全反射角空间对 L-PAF 和 T-PAF 的净影响，其中预测了负值、正值和中性值。研究结果与位于表面附近的吸收性粒子上的光泳力和扭矩的出现有关，以及电磁/光散射、粒子操纵和组装、光学束缚物质、光-物质相互作用和光分离等主题的应用。数值示例说明了分析并证明了全反射角空间对 L-PAF 和 T-PAF 的净影响，其中预测了负值、正值和中性值。研究结果与位于表面附近的吸收性粒子上的光泳力和扭矩的出现有关，以及电磁/光散射、粒子操纵和组装、光学束缚物质、光-物质相互作用和光分离等主题的应用。