  Acoustic radiation forces (ARFs) induced by a single Bessel beam with
arbitrary order and location on a nonspherical shape are studied using the
T-matrix method (TMM) in three dimensions. Based on the radiation stress tensor
approach and the multipole expansion method for the arbitrary Bessel beam, the
ARF expressions are derived in terms of the incident and scattered beam shape
coefficients independently with the corresponding homemade code packages.
Several numerical experiments are conducted to verify the versatility of the
TMM. The axial acoustic radiation forces (ARFs) of several typical shapes are
considered in the analysis with the emphasis on the axial ARF reversal and the
corresponding physical mechanism. This study may guide the experimental set-up
to find negative axial ARFs quickly and effectively based on the predicted
parameters with TMM. Relatively elongated shapes may be helpful for pulling
forces in Bessel beams. Furthermore, the lateral ARFs for both convex and
concave nonspherical shapes are also investigated with different topological
charges, cone angles and offsets of the particle centroid to the beam axis in a
broadband frequency regime. A brief theoretical derivation of the incident beam
shape coefficients for the standing Bessel beams is also given. The present
work could help to design the acoustic tweezers numerical toolbox which
provides an acoustical alternative to the optical tweezers toolbox.
