Generating certifiable phase-only holograms based on phase optimization and sparsity constraints
A Phase-Optimized, Sparse-Constrained Technique
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Embodiment 1
[0033]Example 1: A method for generating certifiable phase-only holograms based on phase optimization and sparse constraints, such as figure 1 shown, including the following steps:
[0034] S1: Select three images as hidden image, reference image and host image respectively, such as figure 2 shown, figure 2 The hidden image in is (a), the reference image is (b), and the host image is (c); using the phase optimization method of the first stage ( figure 1 The first stage of optimization) generates phase-only holograms corresponding to the hidden image, the reference image and the host image under the sparse constraints, respectively, such as image 3 shown, image 3 (a) is the pure phase hologram generated by the hidden image; (b) is the pure phase hologram generated by the reference image; (c) is the pure phase hologram generated by the host image (corresponding to figure 1 Hologram1, Hologram2 and Hologram3 in );
[0035] S2: Perform secondary phase optimization on the ...
Embodiment 2
[0036] Embodiment 2: On the basis of Embodiment 1, the specific process of the phase optimization method in the step S1 is as follows:
[0037] (i) Select a phase plate of suitable size and determine the corresponding blank rectangular window |A 0 |=1, multiplied by a random phase in the range [0, 2π] Make up the input light field
[0038] (ii) put the input light field Perform the inverse Fresnel transform to get the function replace the function a with a constant 1 q The magnitude component in yields the function a q ', to simulate the missing amplitude modulation of the pure-phase SLM plane, and then to the function a q 'Fresnel transform to get the function And replace the calculated approximation with the initial amplitude component (constant 1), continue to perform the inverse Fresnel transform after the replacement, and repeat this iterative cycle;
[0039] Among them, the Fresnel transform is expressed by the following formula:
[0040]
[0041] where ...
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