Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Fully phase-encoded techniques for optical security and encryption

Bahram Javidi, Nasser Towghi

Published Jul 26, 1999• 0 citations
Publisher

Abstract

A fully phase image encryption technique which uses double random phase encoding method is presented. The encryption method can be implemented optically. Robustness of the fully phase encryption and amplitude based encryption in the presence of noise is investigated. Using computer simulations, mean squared error for the decrypted images are obtained. The fully phase based encryption is shown to be robust with respect to the additive noise added to the encrypted image in terms of the mean squared metric. Based on the tests conducted in this paper, the fully phase based encryption method shows better performance than the amplitude based encryption in terms of mean square error metric.

DOI
10.1117/12.354690

Related papers

Fully phase encrypted image processor

Nasser Towghi, Bahram Javidi, Z. Luo

A fully phase image encryption technique that uses the double random-phase encoding method is presented. The performance of this fully phase encryption is compared with that of amplitude-based encryption in the presence of noise. Analytic bounds on the mean squared error for the decrypted images are obtained. The accuracy of the theoretical error bounds is confirmed by comparing them with the mean squared errors obtained by using numerical and statistical methods for actual images. Fully phase-based encryption shows better performance than amplitude-based encryption with respect to the mean-squared-error metric.

Journal of the Optical Society of America A•Aug 1, 1999•229 citations

Security augmenting of optical cryptosystem based on linear canonical transform domain using a full phase encoding technique

Emad A. Mohammed, Israa M. Qasim

Abstract For the purpose of alleviating the vulnerability of double random phase encryption system in the linear canonical transform domain, a novel approach for optical security and cryptographic systems is presented. This proposed system uses a fully phase encoding technique to augment the security of encryption system in the linear canonical transform. The first step in this system involves phase encoding of the initial amplitude image to be ciphered and then modulated by the phase masks. The decryption process of image is the reversal operation of the encryption method. The effectiveness and sensitivity of our proposed cryptosystem for the encryption secret keys are verified. The resistance of our method against occlusion attacks is investigated. Moreover, the results demonstrate that the fully phase-based optical cryptosystem is more secure and robust than the amplitude-based scheme in a linear canonical domain.

Physica Scripta•May 9, 2024•7 citations

Error-reduction techniques and error analysis for fully phase- and amplitude-based encryption

Bahram Javidi, Nasser Towghi, Nabíl Maghzi +1 more

The performance of fully phase- and amplitude-based encryption processors is analyzed. The effects of noise perturbations on the encrypted information are considered. A thresholding method of decryption that further reduces the mean-squared error (MSE) for the fully phase- and amplitude-based encryption processes is provided. The proposed thresholding scheme significantly improves the performance of fully phase- and amplitude-based encryption, as measured by the MSE metric. We obtain analytical MSE bounds when thresholding is used for both decryption methods, and we also present computer-simulation results. These results show that the fully phase-based method is more robust. We also give a formal proof of a conjecture about the decrypted distribution of distorted encrypted information. This allows the analytical bounds of the MSE to be extended to more general non-Gaussian, nonadditive, nonstationary distortions. Computer simulations support this extension.

Applied Optics•Aug 10, 2000•70 citations

Compressive Optical Image Encryption

Jun Li, Jiao sheng Li, Yang Pan +1 more

An optical image encryption technique based on compressive sensing using fully optical means has been proposed. An object image is first encrypted to a white-sense stationary noise pattern using a double random phase encoding (DRPE) method in a Mach-Zehnder interferometer. Then, the encrypted image is highly compressed to a signal using single-pixel compressive holographic imaging in the optical domain. At the receiving terminal, the encrypted image is reconstructed well via compressive sensing theory, and the original image can be decrypted with three reconstructed holograms and the correct keys. The numerical simulations show that the method is effective and suitable for optical image security transmission in future all-optical networks because of the ability of completely optical implementation and substantially smaller hologram data volume.

Scientific Reports•May 20, 2015•55 citations

Experimental demonstration of the random phase encoding technique for image encryption and security verification

Bahram Javidi, Guanshen Zhang, Jian Li

Optical image encryption and security using random phase encoding techniques have been proposed recently. We present optical experimental results for image encryption and security. The results show that for the image encryption, the image can be well encrypted using random phase masks with a limited number of pixels. We also tested the performance of the optical system for security verification in the presence of different types of input noise and distortions such as scratches, fingerprint marks, and bending of the phase mask. The experimental results indicate that for the severity of the noise and the degree of distortion tested here, the system provides good performance in verifying the phase code.

Optical Engineering•Sep 1, 1996•110 citations

Optical Security using the Double-Random-Phase Encryption with Photon-Counting

Adam S. Markman

We investigate a full phase based photon-counting double-random-phase encryption (PC-DRPE) method. A photon-counting technique is applied during the encryption process creating sparse images. The statistical distribution of the photon-counting decrypted data for full phase encoding and amplitude phase encoding are derived and their statistical parameters are used for authentication. The performance of the full phase PC-DRPE is compared with the amplitude-based PC-DRPE method. The photon-counting decrypted images make it difficult to visually authenticate the input image; however, advanced correlation filters can be used to authenticate the decrypted images given the correct keys. Initial computational simulations show that the full phase PC-DRPE has the potential to require fewer photons for authentication than the amplitude-based PC-DRPE.\nIn addition, we propose an optical security method for object authentication using photon-counting encryption implemented with phase encoded QR codes. By combining the full phase double-random-phase encryption with photon-counting imaging method and applying an iterative Huffman coding technique, we are able to encrypt and compress an image containing primary information about the object. This data can then be stored inside of an optically phase encoded QR code for robust read out, decryption, and authentication. The optically encoded QR code is verified by examining the speckle signature of the optical masks using statistical analysis. Optical experimental results are presented to demonstrate the performance of the system. In addition, experiments with a commercial Smartphone to read the optically encoded QR code are presented. To the best of our knowledge, this is the first report on integrating photon-counting security with optically phase encoded QR codes.

•Jan 1, 2014•1 citation
A fully phase image encryption technique which uses double random phase encoding method is presented. The encryption method can be implemented optically. Robustness of the fully phase encryption and amplitude based encryption in the presence of noise is investigated. Using computer simulations, mean squared error for the decrypted images are obtained. The fully phase based encryption is shown to be robust with respect to the additive noise added to the encrypted image in terms of the mean squared metric. Based on the tests conducted in this paper, the fully phase based encryption method shows better performance than the amplitude based encryption in terms of mean square error metric.
A fully phase image encryption technique that uses the double random-phase encoding method is presented. The performance of this fully phase encryption is compared with that of amplitude-based encryption in the presence of noise. Analytic bounds on the mean squared error for the decrypted images are obtained. The accuracy of the theoretical error bounds is confirmed by comparing them with the mean squared errors obtained by using numerical and statistical methods for actual images. Fully phase-based encryption shows better performance than amplitude-based encryption with respect to the mean-squared-error metric.
Abstract For the purpose of alleviating the vulnerability of double random phase encryption system in the linear canonical transform domain, a novel approach for optical security and cryptographic systems is presented. This proposed system uses a fully phase encoding technique to augment the security of encryption system in the linear canonical transform. The first step in this system involves phase encoding of the initial amplitude image to be ciphered and then modulated by the phase masks. The decryption process of image is the reversal operation of the encryption method. The effectiveness and sensitivity of our proposed cryptosystem for the encryption secret keys are verified. The resistance of our method against occlusion attacks is investigated. Moreover, the results demonstrate that the fully phase-based optical cryptosystem is more secure and robust than the amplitude-based scheme in a linear canonical domain.
The performance of fully phase- and amplitude-based encryption processors is analyzed. The effects of noise perturbations on the encrypted information are considered. A thresholding method of decryption that further reduces the mean-squared error (MSE) for the fully phase- and amplitude-based encryption processes is provided. The proposed thresholding scheme significantly improves the performance of fully phase- and amplitude-based encryption, as measured by the MSE metric. We obtain analytical MSE bounds when thresholding is used for both decryption methods, and we also present computer-simulation results. These results show that the fully phase-based method is more robust. We also give a formal proof of a conjecture about the decrypted distribution of distorted encrypted information. This allows the analytical bounds of the MSE to be extended to more general non-Gaussian, nonadditive, nonstationary distortions. Computer simulations support this extension.
An optical image encryption technique based on compressive sensing using fully optical means has been proposed. An object image is first encrypted to a white-sense stationary noise pattern using a double random phase encoding (DRPE) method in a Mach-Zehnder interferometer. Then, the encrypted image is highly compressed to a signal using single-pixel compressive holographic imaging in the optical domain. At the receiving terminal, the encrypted image is reconstructed well via compressive sensing theory, and the original image can be decrypted with three reconstructed holograms and the correct keys. The numerical simulations show that the method is effective and suitable for optical image security transmission in future all-optical networks because of the ability of completely optical implementation and substantially smaller hologram data volume.
Optical image encryption and security using random phase encoding techniques have been proposed recently. We present optical experimental results for image encryption and security. The results show that for the image encryption, the image can be well encrypted using random phase masks with a limited number of pixels. We also tested the performance of the optical system for security verification in the presence of different types of input noise and distortions such as scratches, fingerprint marks, and bending of the phase mask. The experimental results indicate that for the severity of the noise and the degree of distortion tested here, the system provides good performance in verifying the phase code.
We investigate a full phase based photon-counting double-random-phase encryption (PC-DRPE) method. A photon-counting technique is applied during the encryption process creating sparse images. The statistical distribution of the photon-counting decrypted data for full phase encoding and amplitude phase encoding are derived and their statistical parameters are used for authentication. The performance of the full phase PC-DRPE is compared with the amplitude-based PC-DRPE method. The photon-counting decrypted images make it difficult to visually authenticate the input image; however, advanced correlation filters can be used to authenticate the decrypted images given the correct keys. Initial computational simulations show that the full phase PC-DRPE has the potential to require fewer photons for authentication than the amplitude-based PC-DRPE.\nIn addition, we propose an optical security method for object authentication using photon-counting encryption implemented with phase encoded QR codes. By combining the full phase double-random-phase encryption with photon-counting imaging method and applying an iterative Huffman coding technique, we are able to encrypt and compress an image containing primary information about the object. This data can then be stored inside of an optically phase encoded QR code for robust read out, decryption, and authentication. The optically encoded QR code is verified by examining the speckle signature of the optical masks using statistical analysis. Optical experimental results are presented to demonstrate the performance of the system. In addition, experiments with a commercial Smartphone to read the optically encoded QR code are presented. To the best of our knowledge, this is the first report on integrating photon-counting security with optically phase encoded QR codes.