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Applied Optics

Noiseless optical encryption based on a complex secret key and a joint Fresnel transform correlator with a Billet split lens

Shaozu Li, Xueju Shen, Bing Zhou, Long Wang

Published Jul 26, 2018• 12 citations
Publisher

Abstract

A noiseless optical cryptosystem based on a joint Fresnel transform correlator (JFTC) with a Billet split lens (BSL) was designed. Benefitting from the adjustable structure of the BSL, we can control the size and recording position of the joint Fresnel transform power distribution by changing the split width of the BSL. To avoid the text being affected by noise, we converted the text into quick response (QR) code in advance, then used the QR code as the plaintext and utilized the noise tolerance ability of the QR code to realize noiseless recovery of the text. In this cryptosystem, we designed a complex secret key (CSK) to replace the secret key made from a random phase mask, and the CSK consists of a QR code filter and a spiral phase mask. Because the QR code and spiral phase can be determined by a few simple data, the transmission and preservation of the CSK is convenient. Finally, the validity and feasibility of the cryptosystem were demonstrated, and the sensitivity of the CSK was researched by simulation and experiment.

DOI
10.1364/ao.57.006503

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A noiseless optical cryptosystem based on a joint Fresnel transform correlator (JFTC) with a Billet split lens (BSL) was designed. Benefitting from the adjustable structure of the BSL, we can control the size and recording position of the joint Fresnel transform power distribution by changing the split width of the BSL. To avoid the text being affected by noise, we converted the text into quick response (QR) code in advance, then used the QR code as the plaintext and utilized the noise tolerance ability of the QR code to realize noiseless recovery of the text. In this cryptosystem, we designed a complex secret key (CSK) to replace the secret key made from a random phase mask, and the CSK consists of a QR code filter and a spiral phase mask. Because the QR code and spiral phase can be determined by a few simple data, the transmission and preservation of the CSK is convenient. Finally, the validity and feasibility of the cryptosystem were demonstrated, and the sensitivity of the CSK was researched by simulation and experiment.
We present a nonlinear optical cryptosystem with multi-dimensional keys including phase, polarization and diffraction distance. To make full use of the degrees of freedom that optical processing offers, an elaborately designed vector wave with both a space-variant phase and locally linear polarization is generated with a common-path interferometer for illumination. The joint transform correlator in the Fresnel domain, implemented with a double optical wedge, is utilized as the encryption framework which provides an additional key known as the Fresnel diffraction distance. Two nonlinear operations imposed on the recorded joint Fresnel power distribution (JFPD) by a charge coupled device (CCD) are adopted. The first one is the division of power distribution of the reference window random function which is previously proposed by researchers and can improve the quality of the decrypted image. The second one is the recording of a hybrid JFPD using a micro-polarizers array with orthogonal and random transmissive axes attached to the CCD. Then the hybrid JFPD is further scrambled by substituting random noise for partial power distribution. The two nonlinear operations break the linearity of this cryptosystem and provide ultra security. We verify our proposal using a quick response code for noise-free recovery.
In holographic encryption, double random-phase encoding in the Fresnel domain (DRPEiFD) is a prevalent encryption method because it is lensless and secure.However, noises bring adverse effects during decryption.In this letter, we introduce quick-response (QR) coding during encryption to resist noises.We transform the original information into a QR code and then encrypt the code as a hologram through DRPEiFD.To retrieve the input, we decrypt the hologram in the opposite manner to the encryption and subsequently obtain a QR code with noises.By scanning this code with proper applications in smartphones, we can obtain a noise-free retrieval.Numerical experiments and images scanned by a smartphone are shown to validate our proposed method.
Abstract We present an optical encryption approach based on the combination of fractal Fresnel lens (FFL) and fractional Fourier transform (FrFT). Our encryption approach is in fact a four-fold encryption scheme, including the random phase encoding produced by the Gerchberg–Saxton algorithm, a FFL, and two FrFTs. A FFL is composed of a Sierpinski carpet fractal plate and a Fresnel zone plate. In our encryption approach, the security is enhanced due to the more expandable key spaces and the use of FFL overcomes the alignment problem of the optical axis in optical system. Only using the perfectly matched parameters of the FFL and the FrFT, the plaintext can be recovered well. We present an image encryption algorithm that from the ciphertext we can get two original images by the FrFT with two different phase distribution keys, obtained by performing 100 iterations between the two plaintext and ciphertext, respectively. We test the sensitivity of our approach to various parameters such as the wavelength of light, the focal length of FFL, and the fractional orders of FrFT. Our approach can resist various attacks.
The information protection systems based on optical processors, employing a double random phase mask encryption technique, allow data securely handling, but the recovery is not noise-free. Although the system security is provided by the optical processor enabling the information encoding, we demonstrate in this contribution that noise-free recovery is indeed possible by including the quick response coding, without altering the data protection process. The information to be protected is first converted into a quick response code or QR code, and then this code is optically encrypted. The decrypted QR code exhibits the usual noise produced by the random phase masks along with the involved opto-digital processing. Finally, when scanning the decrypted QR code we recover the original information without noise. We include the theoretical description of the optical processor, as well as we show experimental results that corroborate the validity and applicability of the security system.© 2015. Acad. Colomb. Cienc. Ex. Fis. Nat. All rights reserved.
An optical image encryption method is proposed based on Fourier single-pixel imaging and iterated phase retrieval algorithm. First, a binary barcode image containing two groups of horizontal strips is randomly generated and used as the target image in the single-pixel imaging process. Second, considering the barcode image as the amplitude constraint, the original plaintext image is encoded to two phase-only masks using a designed phase retrieval algorithm in Fresnel domain, and these masks are applied as secret keys. Finally, the barcode image is encrypted to a series of measurements using two-step phase shift Fourier single-pixel imaging as the ciphertext. Differing other methods, the original image is not directly imaged and encoded into the ciphertext. Even the ciphertext is obtained by a cracker, only the barcode image may be further discovered. Due to two phase-only masks as secret keys, the security level of the cryptosystem can be enhanced greatly. The simulated results verify the feasibility of the proposed method, and this work provides an effective alternative for the related research.
Abstract Optical encryption is an actively developing field of science. The majority of encryption techniques use coherent illumination and suffer from speckle noise, which severely limits their applicability. The spatially incoherent encryption technique does not have this drawback, but its effectiveness is dependent on the Fourier spectrum properties of the image to be encrypted. The application of a quick response (QR) code in the capacity of a data container solves this problem, and the embedded error correction code also enables errorless decryption. The optical encryption of digital information in the form of QR codes using spatially incoherent illumination was implemented experimentally. The encryption is based on the optical convolution of the image to be encrypted with the kinoform point spread function, which serves as an encryption key. Two liquid crystal spatial light modulators were used in the experimental setup for the QR code and the kinoform imaging, respectively. The quality of the encryption and decryption was analyzed in relation to the QR code size. Decryption was conducted digitally. The successful decryption of encrypted QR codes of up to 129 × 129 pixels was demonstrated. A comparison with the coherent QR code encryption technique showed that the proposed technique has a signal-to-noise ratio that is at least two times higher.