Optical induction of non-diffracting discrete photonic lattice

• We give out the precise express of the light distributions after mask and its Fourier-transform express.
• We get the anisotropy lattices by changing the position of the holes.
• We study the differences of those two kinds of triangle lattices using the mask with three holes or six holes, respectively.

The triangle lattices was optically induced in an externally biased cerium doped strontium barium niobate (SBN) photorefractive crystal using a mask with three holes or six holes, respectively. Numerically, the transmittance function of the amplitude mask and its Fourier-transform function were given out instead of treating each hole as a simple point source. Experimentally, the differences between the two lattices were analyze by phase distribution, far-field diffraction pattern, Brillouin-zone spectroscopy. And the three-dimensional (3D) images by computer simulation are also used to study their differences. In addition, the anisotropy lattices are presented by designing the amplitude mask properly.