Scattering and radiation forces of two types of partially coherent twisted beams

Based on the first-order Born approximation and the Rayleigh scattering theory, the analytical expressions of the weak scattering and the radiation force of two types of partially coherent twisted beams are derived, respectively. Numerical examples show that the scattering's directionality and the radiation force's magnitude can be controlled by the twist factor and the cross-strength factor. Moreover, it can be obtained that these two beams can capture particles into the beams' center transversely and push the particles to move forward in the axial direction, which may be useful in optical micromanipulation. For example, we can use these beams to filter out high refractive index particles from clusters and separate them through axial force. This paper will be helpful to the fields of optical tweezers, optical communication, and so on.