Abstract
We proposed controllable symmetric caustic beams (SCBs), which can follow any desired convex or concave propagation trajectory. The analytical relation between propagation trajectory and phase was constructed by utilizing caustic theory. We performed numerical simulations to generate SCBs and experimentally verified the simulated results. Despite differences in propagation trajectories, each part of the generated SCBs showed remarkable self-healing and accelerating properties. The beams also exhibited distinctly symmetric intensity profiles and tunable trajectories. Moreover, the SCBs had a thin needle-like structure in their intensity profile and demonstrated autofocusing properties. These intriguing properties of SCBs may be useful in applications, such as multiparticle manipulation, fluorescent imaging, and Raman spectroscopy.
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