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An Asymmetric Optical Cryptosystem Using Physically Unclonable Functions in the Fresnel Domain

Vinny Cris Mandapati, Shashi Prabhakar, Harsh Vardhan, Ravi Kumar, Salla Gangi Reddy, Sakshi Sakshi, Ravindra Pratap Singh

Published Mar 6, 2023• 3 citations
Publisher

Abstract

In this paper, we propose a new asymmetric cryptosystem for phase image encryption, using the physically unclonable functions (PUFs) as security keys. For encryption, the original amplitude image is first converted into a phase image and modulated with a PUF to obtain a complex image. This complex image is then illuminated with a plane wave, and the complex wavefront at a distance d is recorded. The real part of the complex wavefront is further processed to obtain the encrypted image and the imaginary part is kept as the private key. The polar decomposition approach is utilized to generate two more private security keys and to enable the multi-user capability in the cryptosystem. Numerical simulations confirm the feasibility of the proposed method.

DOI
10.3390/hmam2-14124

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In this paper, we propose a new asymmetric cryptosystem for phase image encryption, using the physically unclonable functions (PUFs) as security keys. For encryption, the original amplitude image is first converted into a phase image and modulated with a PUF to obtain a complex image. This complex image is then illuminated with a plane wave, and the complex wavefront at a distance d is recorded. The real part of the complex wavefront is further processed to obtain the encrypted image and the imaginary part is kept as the private key. The polar decomposition approach is utilized to generate two more private security keys and to enable the multi-user capability in the cryptosystem. Numerical simulations confirm the feasibility of the proposed method.
Abstract In this study, we propose a new nonlinear optical image encryption technique using spiral phase transform (SPT). First, the primary image is phase encoded and multiplied with a random amplitude mask (RAM), and using power function, the product is then powered to m . This powered output is Fresnel propagated with distance z 1 and then modulated with a random phase mask (RPM). The modulated image is further Fresnel propagated with distance z 2 . Similarly, a security image is also modulated with another RAM and then Fresnel propagated with distance z 3 . Next, the two modulated images after Fresnel propagations, are interfered and further Fresnel propagated with distance z 4 to get a complex image. Finally, this complex image is SPT with particular spiral phase function (SPF), to get the final encrypted image for transmission. In the proposed technique, the security keys are Fresnel propagation distances, the security image, RPM, RAMs, power order, m , and order of SPF, q . Numerical simulation results confirm the validity and effectiveness of the proposed technique. The proposed technique is robust against noise and brutal force attacks.
We propose an asymmetric optical image encryption scheme with silhouette removal by using interference and equal modulus decomposition (EMD). Plaintext is first separated into two complex value masks with the same modulus using EMD in the Fresnel transform domain. The two masks are encoded into four phase-only masks (POMs), two of which are treated as ciphertexts and other two as plaintext-dependent private keys by using the inverse Fresnel transform with different diffraction distances and interference-based encryption. Any information about the plaintext, including its silhouette, cannot be retrieved using one, two, or even three of the four POMs. Our scheme also avoids the constraint of the same modulus in EMD and eliminates the vulnerability against the iterative amplitude-phase attack and advanced iterative amplitude-phase attack. Numerical simulations were used to verify the validity and security of our proposed method.
We propose an asymmetric optical image encryption scheme that uses an amplitude and phase mixture retrieval of the Yang-Gu algorithm. The encryption process is realized by employing a cascaded Yang-Gu algorithm together with two random phase masks that serve as the public encryption keys. The two private keys are generated in the encryption process and are randomly distributed binary matrices to be used for performing one-way binary phase modulations. Without the private keys, illegal users cannot retrieve the secret image. Numerical simulations are carried out to demonstrate the validity and security of the proposed scheme.
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.
We propose a novel nonlinear image-encryption scheme based on a Gerchberg-Saxton (G-S) phase-retrieval algorithm in the Fresnel transform domain. The decryption process can be performed using conventional double random phase encoding (DRPE) architecture. The encryption is realized by applying G-S phase-retrieval algorithm twice, which generates two asymmetric keys from intermediate phases. The asymmetric keys are generated in such a way that decryption is possible optically with a conventional DRPE method. Due to the asymmetric nature of the keys, the proposed encryption process is nonlinear and offers enhanced security. The cryptanalysis has been carried out, which proves the robustness of proposed scheme against known-plaintext, chosen-plaintext, and special attacks. A simple optical setup for decryption has also been suggested. Results of computer simulation support the idea of the proposed cryptosystem.
The rapid proliferation of IoT devices has heightened the demand for efficient security solutions. Optical physical unclonable functions (O-PUFs) present a promising alternative due to their intrinsic strong physical randomness and unclonability. However, conventional O-PUFs are restricted by fixed configurations, leading to limited key generation capacity. This work proposes a multi-level modulated O-PUF key generation scheme. For phase-encoded challenges, the proposed scheme introduces a diffuser to distort the wavefront and enhance modulation sensitivity. Dynamic modulation is realized by the rotation and translation of the O-PUF and the adjustment of a half-wave plate and a linear polarizer. A key generation system with ZnO-particle-embedded O-PUF is demonstrated, and a simulated annealing algorithm is introduced to optimize phase encoding for enhanced response randomness. A logistic regression-based matched filter is designed to improve the entropy of initial keys, and a fuzzy extractor enables the generation of a reliable, unique, large-capacity cryptographic key. This work advances optical PUF key generation and provides a robust foundation for cryptographic security.