“…Taking the second harmonic generation (SHG) as an example, the nonlinearity modulation maps the interference between the nonlinear polarization wave (with a doubling of the wave vector of the fundamental beam) and the second harmonic (SH) of required shape, e.g., Bessel, vortex, Airy beam etc. [ 17,19,21 ] The holographic Ï (2) nonlinearity patterning has been commonly achieved by either ferroelectric domain inversion (electrical poling), [ 8â10 ] or laserâinduced partial amorphization of the crystal. [ 24,25 ] However, while the original pattern is a continuous in space, the corresponding nonlinearity distribution is of binary character, as in binary computer generated holograms.…”