The effect of a perfectly reflecting boundary (i.e., planar wall) on the photophoretic asymmetry factors (PAFs) for an absorptive dielectric cylinder is investigated. The expression for the normalized intensity function for the electric field internal to the cylinder is used in conjunction with the multiple scattering theory of waves, the translational addition theorem in cylindrical coordinates, and the method of images to derive analytically and compute numerically the longitudinal (L) and transverse (T) PAFs for the cylinder as well as the internal dimensionless intensity function. Both TM- and TE-polarized plane progressive waves with arbitrary incidence (in the polar plane) are considered. Particular emphases are given on the dimensionless size parameter of the cylinder, the incidence angle of the illuminating field, and the dimensionless distance parameter from the flat surface. The results show that the net effect of the planar wall increases or decreases the amplitudes of the PAFs (thus, the photophoretic force and torque), depending on the particle-wall distance, incidence angle, particle size, and the polarization of the incident field. The results of this analysis are useful in applications related to electromagnetic/optical scattering, particle manipulations, optically bound matter, and photophoresis.

中文翻译：

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反射平面边界附近吸收性介质圆柱体的光泳不对称因子

研究了完美反射边界（即平面壁）对吸收介电圆柱体的光泳不对称因子 (PAF) 的影响。圆柱内部电场的归一化强度函数的表达式与波的多次散射理论、圆柱坐标中的平移加法定理以及图像的方法结合使用，以解析推导和数值计算纵向 (L ) 和圆柱的横向 (T) PAF 以及内部无量纲强度函数。TM 和 TE 偏振平面渐进波具有任意入射（在极平面）。特别强调了圆柱体的无量纲尺寸参数、照明场的入射角、以及与平面的无量纲距离参数。结果表明，平面壁的净效应会增加或减少 PAF 的振幅（因此，光泳力和扭矩），具体取决于粒子壁距离、入射角、粒子大小和入射场的极化. 该分析的结果在与电磁/光散射、粒子操作、光学结合物质和光泳相关的应用中非常有用。