具有光滑或肋状表面的导电椭圆柱上的光辐射力（单位长度）
Optical radiation force (per-length) on an electrically conducting elliptical cylinder having a smooth or ribbed surface
摘要：
本工作的目的是开发一个正式的半解析模型，使用圆柱坐标系中的模态展开方法来计算光/电磁（EM）辐射力所经历的每长度的无限长的导电椭圆柱具有光滑或波浪/波纹表面在EM平面行波具有不同的偏振。椭圆柱的一个半轴与入射场的方向重合。采用模式匹配法，通过矩阵求逆确定散射系数。使用标准圆柱形（Bessel和Hankel）波函数。简化的表达式，导致精确的级数展开的光学/EM辐射力假设无论是电（TM）的磁（TE）平面波入射提供没有任何近似，除了积分方程证明的辐射力的直接关系与平方的散射场幅度。数值计算的无量纲辐射力函数进行导电椭圆和圆柱具有光滑或肋/波纹表面。适当的收敛图证实了该方法的有效性和正确性，以评估辐射力，而不限于特定的频率范围（即瑞利，米氏或几何光学制度）。重点讨论了圆柱体的长宽比、无量纲尺寸、表面的偏振特性以及入射场的偏振特性。结果是特别相关的光镊和其他相关的应用在流体动力学，其中的形状和稳定性的圆柱形液滴强调由均匀的外部电场/磁场被改变。此外，直接类比与声学同行进行了讨论。
英文摘要：
The aim of this work is to develop a formal semi-analytical model using the modal expansion method in cylindrical coordinates to calculate the optical/electromagnetic (EM) radiation force-per-length experienced by an infinitely long electrically-conducting elliptical cylinder having a smooth or wavy/corrugated surface in EM plane progressive waves with different polarizations. One of the semi-axes of the elliptical cylinder coincides with the direction of the incident field. The modal matching method is used to determine the scattering coefficients by matrix inversion. Standard cylindrical (Bessel and Hankel) wave functions are used. Simplified expressions leading to exact series expansions for the optical/EM radiation forces assuming either electric (TM) of magnetic (TE) plane wave incidences are provided without any approximations, in addition to integral equations demonstrating the direct relationship of the radiation force with the square of the scattered field magnitude. Numerical computations for the non-dimensional radiation force function are performed for electrically conducting elliptic and circular cylinders having a smooth or ribbed/corrugated surface. Adequate convergence plots confirm the validity and correctness of the method to evaluate the radiation force with no limitation to a particular frequency range (i.e. Rayleigh, Mie or geometrical optics regimes). Emphases are given on the aspect ratio, the non-dimensional size of the cylinder, the corrugation characteristic of its surface, and the polarization of the incident field. The results are particularly relevant in optical tweezers and other related applications in fluid dynamics, where the shape and stability of a cylindrical drop stressed by a uniform external electric/magnetic field are altered. Furthermore, a direct analogy with the acoustical counterpart is discussed.
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