Radiation forces acting on a Rayleigh dielectric sphere produced by highly focused elegant Hermite-cosine-Gaussian beams

We derive the analytical expression for the propagation of elegant Hermite-cosine-Gaussian (EHcosG) beams through a paraxial ABCD optical system and use it to study the radiation forces produced by highly focused this kind of beams acting on a Rayleigh dielectric sphere. Owing to the characteristics of focused EHcosG beams our analysis shows that it can be expected to simultaneously trap and manipulate dielectric spheres with low-refractive index at the focus point, and spheres with high-refractive index nearby the focus point. Finally, we discuss the stability conditions for effective trapping and manipulating the particle.