Abstract

The Airy transform of Ince–Gaussian beams (IGBs) is studied analytically and numerically. The signs of transverse numerical scales determine the position of the spot, but they have no influence in the intensity of the spot. When the absolute values of the transverse numerical scales are larger than the Gauss waist in the initial plane, the Airy features are very obvious. As they get smaller, the Airy features of the beams are weakened, and the Ince–Gaussian features appear. Additionally, we also find the sizes of transverse numerical scales can change the distance at which the beam begins to accelerate. It is verified that IGBs passing through the Airy transform optical system have both the characteristics of IGBs and Airy beams.

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