Vortex beams with orthogonal orbital angular momentum (OAM) modes have potential applications in optical computing. By exploiting the learning capability of deep neural network and the complex light-field manipulation ability of multilayer diffraction layers, the spatial position of the vortex beam is manipulated by a five-layer diffraction deep neural network as the input of the logic gate. The result of the logic gate is expressed as the light intensity in the output plane. The simulation results show that the accuracy of AND gate and OR gate is 0.9912 and 0.9887 respectively, which proves that the method of implementing logic gate based on diffraction deep neural network modulated OAM is feasible.
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