Abstract
Based on the process of Huygens–Fresnel diffraction integral, we investigate theoretically the characteristics of fields generated by diffracted controllable dark-hollow beams (CDHBs) through an Airy transform optical system. It is shown that the CDHB is transformed into Airy-related beams and the dark central spot is converted into peak intensity. The effects of the incident CDHB parameters such as the mode number N, central spot width $$w_{0}$$ and $$\varepsilon$$ as well as the phase pattern parameters of Airy transform optical system on the generated beam are analyzed in detail with numerical examples.
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