Abstract
We introduce the evolution characteristics of the Masked Pearcey beams array (MPBA) with the second-order chirp factor in Kerr medium, and discuss the evolution characteristics of the MPBA with different absolute values of the second-order chirp factor and the initial plane energy structure in detail. The results show that the MPBA with the second-order chirp factor can form a stable breath-like structure under appropriate input power, and eventually form a filament with the increase of input power. Meanwhile, increasing the absolute value of the second-order chirp factor can help us to obtain a shorter distance filament. In addition, with the increase of the number of superposition, the critical power of the formation of the breath-like structure gradually decreases. It is worth noting that by adding a circular aperture and choosing a suitable input power, the MPBA with the second-order chirp factor will form multiple breath-like structures in Kerr medium.
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