Airy beam

This function is responsible for the Airy beam hologram generation. Airy beam can be defined as:

\(E(x,y)= Ai\left(\frac{Xk_{r}}{s}\right)Ai\left(\frac{Yk_{r}}{s}\right)exp\left(bk_{r}\left(\frac{X+Y}{s}\right)\right),\)

where \(Ai\) is Airy function, \(X,Y\) - x,y coordinate defined as the resolution of DMD, \(s\) - scale, \(b\) - phase factor. Below is an example of Airy beam hologram with various parameters: A) \(b=0\), \(s=1\); B) \(b=0\), \(s=3\); C) \(b=0.15\), \(s=1\); D) \(b=0.15\), \(s=3\).

[1] Voloch-Bloch, N., Lereah, Y., Lilach, Y. et al. Generation of electron Airy beams. Nature 494, 331–335 (2013). https://doi.org/10.1038/nature11840