Discontinuous and sidelobe-free zeroth-order Bessel correlation beams with on-demand tailored intensity profiles along arbitrary trajectories

We present a novel class, to the best of our knowledge, of the zeroth-order Bessel correlation beams (BCBs) with breakthrough capabilities in sidelobe suppression and beam customization. Distinguished from their fully coherent counterparts, our coherence-engineered BCBs achieve unprecedented performance, including near-total sidelobe elimination, controllable discontinuous intensity profiles, and customized segmentation along arbitrary trajectories, such as helical and Archimedean spiral paths. These features make BCBs highly suitable for application in laser direct writing, microscopic imaging, and particle manipulation.