The Effect of B-Integral on the Propagation of the Annular Array Airy Beam

Abstract

The annular array Airy beam (AAAB) possesses excellent optical properties, and it exhibits great potential in optical particle manipulation, light bullet, and so on. When the power of the laser system is relatively high, the B-integral greatly affects the generation and transmission of AAABs. We numerically study the nonlinear propagation of AAABs based on the Schrödinger equation. The variation of the maximum peak intensity of the AAAB with the nonlinear coefficient at different parameters are discussed. The influence of the truncation coefficient, lateral offsets, scale factor, and rotation factor on the AAAB affected by B-integral are also taken into consideration. We show that the AAAB gradually evolves into solitons in the transmission process as the nonlinear coefficient increases. The intensity of AAAB is altered due to the B-integral, and the effect of the B-integral on the transmission of the AAAB cannot be ignored. The research results will be a great boost to the application of the AAAB in biomedicine, particle manipulation, and various other fields.