Nonlinear
beam shaping can be dynamically controlled by temperature
or polarization to form switchable nonlinear structured beams, which
constitute an unprecedented system for realizing optical encryption
at new frequencies and high-dimensional nonclassical light sources.
However, previous works were limited by a trade-off between the conversion
efficiency and the modulation dimension of the beam. It is still technologically
challenging to achieve efficient and switchable multidimensional nonlinear
beam shaping. Here, we demonstrate switchable generation of nonlinear
structured beams via three-dimensional (3D) nonlinear
photonic crystals (NPCs) fabricated by femtosecond laser writing technique
with considerable conversion efficiency. The 3D NPCs contain different
sequential 3D arrays of spatially modulated χ(2) nonlinearity
designed by computer-generated hologram (CGH) along the optical y-axis (LiNbO3 crystal). The output direction
of the nonlinear beams can be changed by the carrier frequencies,
while their efficiencies can be increased by the quasi-phase matching
condition.