Optical asymmetric cryptosystem based on photon counting and phase-truncated Fresnel transforms

Abstract We propose a novel optical asymmetric cryptosystem combining the photon counting imaging with phase-truncated Fresnel transform, which can be used for complete information retrieval and authentication verification. The proposed combination overcomes the weakness of photon counting-based double random phase-encoding scheme. For retrieval of original image for authentication, the reverse process of phase truncation approach is followed and a nonlinear correlation filter is used. The complete information retrieval and authentication verification are possible provided sufficient number of photons is available. To check the robustness of the proposed scheme, attack analysis has been carried out. The simulation results are presented to demonstrate the proposed idea.

[1]  Bahram Javidi,et al.  Full-phase photon-counting double-random-phase encryption. , 2014, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Jingjuan Zhang,et al.  Double random-phase encoding in the Fresnel domain. , 2004, Optics letters.

[3]  A. Stern,et al.  Phase-Modulated Optical System With Sparse Representation for Information Encoding and Authentication , 2013, IEEE Photonics Journal.

[4]  Areeba Fatima,et al.  Discussion on comparative analysis and a new attack on optical asymmetric cryptosystem. , 2016, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  Naveen K. Nishchal,et al.  Fresnel domain nonlinear optical image encryption scheme based on Gerchberg-Saxton phase-retrieval algorithm. , 2014, Applied optics.

[6]  Yixiang Chen,et al.  Discussion and a new attack of the optical asymmetric cryptosystem based on phase-truncated Fourier transform. , 2014, Applied optics.

[7]  Xiang Peng,et al.  Asymmetric cryptosystem based on phase-truncated Fourier transforms. , 2010, Optics letters.

[8]  Naveen K Nishchal,et al.  An optical encryption and authentication scheme using asymmetric keys. , 2014, Journal of the Optical Society of America. A, Optics, image science, and vision.

[9]  B Javidi,et al.  Encrypted optical memory system using three-dimensional keys in the Fresnel domain. , 1999, Optics letters.

[10]  Xiaogang Wang,et al.  A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms , 2012 .

[11]  José A. Rodrigo,et al.  Applications of gyrator transform for image processing , 2007 .

[12]  Myungjin Cho,et al.  Information authentication using photon-counting double-random-phase encrypted images. , 2011, Optics letters.

[13]  Myungjin Cho,et al.  Three-dimensional photon counting double-random-phase encryption. , 2013, Optics letters.

[14]  Yixiang Chen,et al.  Double-image encryption without information disclosure using phase-truncation Fourier transforms and a random amplitude mask. , 2014, Applied optics.

[15]  G. Unnikrishnan,et al.  Optical encryption by double-random phase encoding in the fractional Fourier domain. , 2000, Optics letters.

[16]  B. Javidi,et al.  Photon-Counting Security Tagging and Verification Using Optically Encoded QR Codes , 2014, IEEE Photonics Journal.

[17]  Dhirendra Kumar,et al.  Photon counting imaging and phase mask multiplexing for multiple images authentication and digital hologram security , 2015 .

[18]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[19]  Bahram Javidi,et al.  Resistance of the double random phase encryption against various attacks. , 2007, Optics express.

[20]  Arturo Carnicer,et al.  Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys. , 2005, Optics letters.

[21]  Dhirendra Kumar,et al.  Photon counting imaging and polarized light encoding for secure image verification and hologam watermarking , 2014 .

[22]  Bahram Javidi,et al.  Optical encryption using photon-counting polarimetric imaging. , 2015, Optics express.

[23]  Wen Chen,et al.  Double random phase encoding using phase reservation and compression , 2014 .

[24]  Bahram Javidi,et al.  Roadmap on optical security , 2016 .

[25]  Zhengjun Liu,et al.  Asymmetric cryptosystem using random binary phase modulation based on mixture retrieval type of Yang-Gu algorithm. , 2013, Optics letters.

[26]  Isha Mehra,et al.  Optical image encryption using equal modulus decomposition and multiple diffractive imaging , 2016 .

[27]  B. Javidi Nonlinear joint power spectrum based optical correlation. , 1989, Applied optics.

[28]  Bahram Javidi,et al.  Photon-counting double-random-phase encoding for secure image verification and retrieval , 2012 .

[29]  Daomu Zhao,et al.  Amplitude-phase retrieval attack free cryptosystem based on direct attack to phase-truncated Fourier-transform-based encryption using a random amplitude mask. , 2013, Optics letters.