Simultaneous and independent control of axial rotation and self-bending in a beam with a fifth-order homogenous phase

Advances in modern optical technology are driving increasingly stringent requirements for the precise controllability of structured-light fields. However, existing structured light fields struggle to achieve synchronous yet independent control over both curved propagation trajectories and axial rotation within a single beam. To address this challenge, we propose and experimentally demonstrate a novel, to the best of our knowledge, structured beam, termed the fifth-order phase-controlled rotating self-bending beam (5th-PRSB). The 5th-PRSB enables simultaneous control of parabolic trajectory and rotation by superimposing two Bessel vortex beams with distinct phase velocities and opposite topological charges, along with a fifth-order homogeneous phase for composite modulation. Experimental results confirm that the 5th-PRSB enables parallel capture of multiple particles and their stable arrangement into arrays, underscoring its potential for applications in precision optical manipulation and microrobotics.