Acoustical spinner tweezers with nonparaxial Hermite-Gaussian acoustical-sheets and particle dynamics

Hermite-Gaussian (HG_l) acoustical-sheets are introduced and their beamforming properties are examined. A general nonparaxial mathematical solution for the incident beam of any order l is derived based on the angular spectrum decomposition in plane waves. The beam-shape coefficients characterizing the incident beam in cylindrical coordinates are expressed in an integral form and computed using the standard numerical integration procedure based on the trapezoidal rule. The analysis is further extended to calculate the longitudinal and transverse acoustic radiation force functions as well as the axial radiation torque function for a viscous fluid cylindrical cross-section submerged in a non-viscous fluid and located arbitrarily in space in the field of the HG_l beams in the Rayleigh and resonance (Mie) regimes. The numerical results show that the absorptive cylinder can be pulled, pushed, or manipulated and rotated around its center of mass when placed in the acoustical field of a HG_l beam. Clockwise or anticlockwise rotations can arise depending on the cylinder position in the acoustic field. Moreover, a particle dynamics analysis is established based on Newton's second law of motion during which the trajectories of the cylinder subjected to the acoustical field of forces are computed. The results can find potential applications in particle manipulation and handling, acoustical microscopy imaging, and surface acoustic waves to name a few examples.