Diffraction-free partially coherent Pearcey beam.

Partially coherent beams are renowned for their inherent resilience against environmental perturbations. However, traditional versions are prone to distortion due to light diffraction, which presents significant challenges for related applications such as information transfer. In this paper, we theoretically and experimentally construct a non-diffraction, partially coherent Pearcey beam. The results clearly demonstrate such a beam remains invariant during propagation under different coherence conditions. The experimental results align closely with the theoretical predictions. We believe that this beam has the potential to offer new insights as an information carrier for optical communication and information transmission, particularly in adverse environments.