Light wave propagation and diffraction inhibition in three-dimensional photonic quasicrystal lattices

•Diffraction inhibition of light wave in longitudinal modulated photonic quasicrystals has been demonstrated.•Light localization has been achieved in the out-of-phase modulated 3D quasicrystal lattices.•Distortionless dot image transmission has numerically demonstrated in 3D photonic quasicrystals array.•It has potential applications in optical information transmission and all-optical signal processing.