Fig. 1: Principle of super pixel.

a–c Three schemes for NPC-based nonlinear hologram. a The traditional binary phase modulation of nonlinear waves, which has been widely applied in previous nonlinear holography works. In (b), a negative domain is embedded inside the positive ones. This type of super pixel is capable of fully controlling the phase of nonlinear waves. In (c), two negative domains are properly arranged inside each super pixel, which can be utilized to realize the complete complex-amplitude modulations of nonlinear waves. d and e show the dependences of the amplitude and phase of nonlinear wave on the value of \(\Delta kX\), respectively. The dotted lines indicate the parameters used in this work. f The dynamic evolutions of the complex-amplitude from super pixels A (solid line) and B (dotted line) as increasing the value of \(\Delta k\) from Δ to 2Δ. The initial amplitudes and phases of pixels A and B are marked in (d) and (e). See “Methods” and Supplementary Fig. 3 for details.