Longitudinal forces on a spherical dielectric particle exerted by a truncated bessel beam in the ray optics regime

A first theoretical and numerical treatment of longi-tudinal forces in an extended geometrical optics model exerted by a truncated Bessel beam (TBB) on a spherical dielectric particle is presented in this work. To describe the TBB, we use a method for spatial beam shaping to describe truncated beams with simplicity and total analyticity in the paraxial approximation, which utilizes a discrete superposition of scalar Bessel Gauss beams. We present numerical examples of longitudinal forces that a TBB exerts on a scatterer and argue about the limitations of this method. We also briefly discuss about further possible analysis that can be done with TBB and other truncated beams.