Generation of spherical vortex beams to trap large particles for enhanced axial force

Abstract

Recent studies have shown the possibility to manipulate small elastic spheres in 3D with a single-sided beam. Acoustical tweezers are very appealing because they provide a fine spatial control of the motion of a single particle in space. Their main limitations are due to the weak restoring axial force and improving this force is still a challenge. We show theoretically that the spherical vortex beams can trap large particles and enhance the axial force. Indeed, the special features of these unusual beams look like the bottle beams in optics. Nevertheless, their spatial complexity presupposes that they can be produced with sufficient precision. Therefore, attention is paid to the synthesis of the spherical vortices. A method based on the inverse filter method is proposed. It allows to synthesize them with a very good precision since the theoretical force is recovered experimentally with an error smaller that than 10%. Then, the spherical vortices are used to trap polyethylene beads with radii between 500 and 590 µm. Experiments show that the radial trap is working while no beads have been trapped in the axial direction. This failure is analyzed in detail and is shown to be mainly due to sensitivity to the properties of the materials which influences the resonance modes of the elastic sphere. This study paves the way to the optimization of acoustical tweezers for the manipulation of large objects.

Three-Dimensional Trapping and Dynamic Axial Manipulation with Frequency-Tuned Spiraling Acoustical Tweezers: A Theoretical Study

“…It is difficult to produce an ideal spherical vortex in experiment since the transducers need to be placed all over the 4π steradians enclosing the manipulation area [61]. However, this can be overcome by using a focused spherical vortex with finite aperture (steradian less than 2π ) [45,51,52,67]. Similarly to the plane standing waves consisting of two counterpropagating traveling waves, a spherical Bessel beam can be produced by the interference of converging and diverging spherical Hankel beams.…”

3D trapping and dynamic axial manipulation with frequency-tuned spiraling acoustical tweezers

“…It is difficult to produce a ideal spherical vortex in experiment since the transducers need to place all over the 4π steradians enclosing the manipulation area [60]. However, this can be overcome by using a focused spherical vortex with finite aperture (steradian less than 2π) [45,50,51,62]. Similar as the plane standing waves consisting of two counterpropagating travelling waves, a spherical Bessel beam can be produced by the interference of a converging and diverging spherical Hankel beams.…”

Enhanced hair growth effects through low‐level vortex beams radiation: An experimental animal study

“…Optical vortex beam carrying orbital angular momentum (OAM) has highlighted its unique advantages in particle traps [16][17][18], biomedicine [19], microscopic imaging [20,21], chiral identification [22], and medical diagnosis [23] since its discovery in 1992. Different from Gaussian beams, the intensity of vortex beams on the axis is zero because of the helical phase front as shown in Figure 1.…”