To record the key information in a joint transform correlator cryptosystem, an approach based on ptychography is proposed. This method does not require a reference beam, phase shifting methods, or an additional window in the input plane to record the key information. Instead, the key is illuminated with different probes, and its phase information is recovered employing the probes’ information and their respective cryptosystem’s outputs. Two probes are required for the retrieval of a key capable of successful decryption. Further improvements in the key accuracy and decryption quality are achieved with additional probes. This method is validated with both numerical and experimental results. For an experimental cryptosystem, we obtain similar quality after decryption with a ptychographic key compared with the key registered using the reference arm method.
Optical encryption is an open and prolific field with a continual growth. Several cryptosystems as the 4f encrypting system, joint transform correlator (JTC), joint free space cryptosystem (JFSC) and the fractional JTC (FrJTC) cryptosystem have demonstrated high-performance data protection. The experimental implementation of each architecture shows different performances, opening a wide area of research. In this work we experimentally implement an interferometric cryptosystem in which the encryption key is a ground glass diffuser (GGD) located in the reference arm. In the object arm, the information to be encoded is displayed in a spatial light modulator placed in contact with another GGD representing the input object plane. In the setup a lens brings the Fourier transform of the input object plane. In the cryptosystem, the encryption process is achieved by the interference between the Fresnel transform of the key and the Fourier transform of the input object plane. This interference pattern is registered by a CMOS camera. The free propagation distance z between the key plane and the output plane determines the correct Fresnel transform of the key in the register plane. Then, for the decryption process, both the encrypted data and the information of the Fresnel transform of the key in the correct distance are necessary. In order to test the capabilities of the cryptosystem, we implemented experimentally QR codes as an information container making possible a protocol for a noise-free information recovery. The experimental results show the viability and applicability of the proposal.
We present a fast and simple technique to generate phase only Fresnel holograms of 2D intensity objects. This technique uses a modified Gerchberg-Saxton (G-S) algorithm to optimize a random phase. This optimization takes into account the resolution, pixel size, reconstruction plane, and optical characteristics of the system that will reconstruct the holograms. The resulting Optimized Fresnel RAndom Phase (OFRAP) is then multiplied with the desired intensity target, and after performing a Fresnel transform and a phase extraction we obtain the corresponding phase only hologram. Numerical results show that generation of holograms with OFRAP achieves performance close to the traditional G-S algorithm directly applied to the intensity target. The proposed technique has the additional advantage that a single ORAP can be used to generate any number of holograms, thus eliminating the need for any further iterative algorithms. This proposal is ideal for the generation of holographic videos and other applications where dynamic generation of phase holograms to manipulate the light field are necessary, like neuronal photostimulation, holographic displays and aberration correction.
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