Authenticated pure phase hologram generation method based on phase optimization and sparse constraint
A phase-optimized, sparse-constrained technology, applied in the field of information security, can solve the time-consuming problems of holograms, and achieve the effects of improving speckle noise, good authentication effect, and high image quality
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Embodiment 1
[0033]Example 1: A method for generating a certifiable phase-only hologram 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 as 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 in the first stage ( figure 1 The first stage of optimization) respectively generate phase-only holograms corresponding to the hidden image, reference image and host image under sparse constraints, such as image 3 as shown, image 3 (a) is the phase-only hologram generated from the hidden image; (b) is the phase-only hologram generated from the reference image; (c) is the phase-only hologram generated from the host image (corresponding to figure 1 Hologram1, Hologram2 and Hologram3 in );
[0035] S2: The phase-only holograms corresponding to 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 appropriate size and determine the corresponding blank rectangular window |A 0 |=1, multiplied by a random phase in the range [0, 2π] at the same time Composition of the input light field
[0038] (ii) will input the light field Perform the inverse Fresnel transform to get the function Replace the function a with a constant 1 q The magnitude components in get the function a q ′, to simulate the missing amplitude modulation of the phase-only SLM plane, and then to the function a q ' Carry out Fresnel transformation to get the function And replace the calculated approximate value 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 f...
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