Open AccessInfluence of optical Airy transform on non-diffracting propagation distance of finite energy Airy beams
Author(s) -
Xingchun Chu,
Rongjiang Liu,
Xiang Wang,
Zhongxiang Han,
Yanhui Ni
Publication year - 2021
Publication title -
optica applicata
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.204
H-Index - 28
eISSN - 1899-7015
pISSN - 0078-5466
DOI - 10.37190/oa210401
Subject(s) - physics , transverse plane , optics , transformation (genetics) , scaling , airy function , side lobe , exponential function , main lobe , energy (signal processing) , mathematical analysis , geometry , quantum mechanics , mathematics , telecommunications , biochemistry , chemistry , structural engineering , computer science , antenna (radio) , engineering , gene
Finite energy Airy beams (FEAB) generated in laboratory have a short non-diffracting propagation distance (NDPD), which restricts its application in laser communication, laser detection and other fields. Effects of optical Airy transform (OAT) on NDPD of FEAB is analyzed. By comparing the theoretical formulas of the FEAB before and after the OAT, we find that when the transform parameter α of the OAT is larger than zero, the transverse scaling factor of the transformed FEAB is greater than that before the transformation, while the transformed exponential decay factor is smaller than that before the transformation. Using the Huygens–Fresnel diffractive integral, we derive the propagation formula of the transformed FEAB. Initial intensity distribution of FEAB before and after the OAT is compared. Propagation dynamics of the transformed FEAB with different α is numerically simulated and its NDPD is quantitatively evaluated. Results show that: with the increase of α , side lobes of the transformed FEAB increase, its main lobe and side lobes become wider than that before the transformation, and the inclination of the propagation trajectory decreases. When α is greater than half of the transverse scaling factor, the NDPD of the transformed FEAB increases rapidly.