Opt Lett. 2013 Nov 15;38(22):4727-30. doi: 10.1364/OL.38.004727.
Making use of the complex-source-point method in cylindrical coordinates, an exact solution representing a cylindrical quasi-Gaussian beam of arbitrary waist w(0) satisfying both the Helmholtz and Maxwell's equations is introduced. The Cartesian components of the electromagnetic field are derived stemming from different polarizations of the magnetic and electric vector potentials based on Maxwell's vectorial equations and Lorenz's gauge condition, without any approximations. Computations illustrate the theory for tightly focused and quasi-collimated cylindrical beams. The results are particularly useful in beam-forming design using high-aperture or collimated cylindrical laser beams in imaging microscopy, particle manipulation, optical tweezers, and the study of scattering, radiation forces, and torque on cylindrical structures.
利用圆柱坐标系中的复源点方法，引入了一个满足亥姆霍兹和麦克斯韦方程组的任意腰宽 w(0) 的圆柱准高斯光束的精确解。根据麦克斯韦矢量方程和洛伦兹规范条件，从磁矢量势和电矢量势的不同偏振推导了电磁场的笛卡尔分量，没有任何近似。计算说明了在使用高孔径或准直圆柱激光束进行成像显微镜、粒子操纵、光镊以及对圆柱结构的散射、辐射力和扭矩研究中的光束形成设计中的理论。
