Fig. 1. The schematic diagram of the optical complex vector convolution , based on five-dimensional orbital-angular-momentum state vector.
Fig. 2. Schematic of experimental layout for optical computing of complex vector convolution based on OAM eigenstates. HWP, half wave plate; SLM, spatial light modulator; L1, L2, L3, L4, L5, lenses; Mask, a phase triangular object; CCD, camera. Inset, holographic example of encoded complex vector with four OAM states in SLM1 and SLM2.
Fig. 3. Architecture of the residual neural network.
Fig. 4. Complex vector convolution process and experimental results of 7-dimensional OAM state vectors. The input vectors (a) and (b) convolved to get the output (c) vector , where the vector elements are , , and , respectively.
Fig. 5. The distributions of (a) proximity and (b) relative errors obtained by comparing each experimental predicted output vector with the theoretical output vector for 7-dimensional OAM state vector convolution.
Dimension of vector C | Average proximity | Mean relative error | 13 | | | 17 | | | 21 | | |
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Table 1. Average proximity and mean relative error of the output vector from 7-, 9-, and 11-dimensional OAM state vector convolution.