Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

Abstract

We introduce a two-dimensional chirped finite energy Pearcey beams (FEPB) for the first time and investigate the propagation dynamics. First, we applied Huygens-Fresnel integral to derive an explicit analytical expression which is suitable for describing FEPB propagation in free space. It is interesting to find that FEPB will experience three typical propagation patterns, i.e., single-autofocusing case, dual-autofocusing case and non-autofocusing diffraction case, only depending on the value of the input asymmetric chirp. We further arrive at the critical condition of such three patterns analytically. However, another input symmetric chirp acts to strengthen or weaken the autofocusing intensity through changing the former sign, but does not affect the focal distance. Our findings denote that two-dimensional chirped FEPB can pave another prospective wave in controlling linear self-focusing and the optical particle manipulation, when compared with the corresponding Airy field or conventional Gaussian field.