The analytical expression for the propagation of elegant Hermite-cosh-Gaussian (EHCHG) beams through a paraxial ABCD optical system is derived and used to study the radiation forces produced by highly focused EHCHG beams acting on a Rayleigh dielectric particle. Owing to the characteristics of this kind of beams our analysis shows that it can be expected to simultaneously trap and manipulate dielectric spheres with low-refractive index at the focal point, and particles with high-refractive index nearby the focal point. Finally, the stability conditions for effective trapping and manipulating particles by this kind of focused beams are discussed.
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