Optical multiple-image encryption based on phase encoding algorithm in the Fresnel transform domain

Abstract A novel method of the optical multiple-image encryption based on the modified Gerchberg–Saxton algorithm (MGSA) is presented. This proposed method with an architecture of two adjacent phase only functions (POFs) in the Fresnel transform (FrT) domain that can extremely increase capacity of system for completely avoiding the crosstalk between the decrypted images. Each encrypted target image is separately encoded into a POF by using the MGSA which is with constraining the encrypted target image. Each created POF is then added to a prescribed fixed POF composed of a proposed MGSA-based phase encoding algorithm. Not only the wavelength and multiple-position parameters in the FrT domain as keys to increase system security, the created POFs are also served mutually as the encryption keys to decrypt target image based on cascading two POFs scheme. Compared with prior methods [23] , [24] , the main advantages of this proposed encryption system is that it does not need any transformative lenses and that makes it very efficient and easy to implement optically. Simulation results show that this proposed encryption system can successfully achieve the multiple-image encryption with multiple-position keys, which is more advantageous in security than previous work [24] for its decryption process with only two POFs keys to accomplish this task.

[1]  Jingjuan Zhang,et al.  A lensless optical security system based on computer-generated phase only masks , 2004 .

[2]  Yan Zhang,et al.  Optical encryption based on iterative fractional Fourier transform , 2002 .

[3]  B Javidi,et al.  Spread-space spread-spectrum technique for secure multiplexing. , 2007, Optics letters.

[4]  Daomu Zhao,et al.  Multiple-image encryption using phase retrieve algorithm and intermodulation in Fourier domain , 2012 .

[5]  Xiuwen Wang,et al.  Multiple image encryption and watermarking by random phase matching , 2005 .

[6]  S Liu,et al.  Optical image encryption with multistage and multichannel fractional Fourier-domain filtering. , 2001, Optics letters.

[7]  Jingjuan Zhang,et al.  A cascaded iterative Fourier transform algorithm for optical security applications , 2003 .

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

[9]  Hsuan T Chang,et al.  Multiple-phase retrieval for optical security systems by use of random-phase encoding. , 2002, Applied optics.

[10]  Guo-Shiang Lin,et al.  Public-key-based optical image cryptosystem based on data embedding techniques , 2003 .

[11]  Jingjuan Zhang,et al.  Position multiplexing for multiple-image encryption , 2006 .

[12]  Hone-Ene Hwang,et al.  Signal reconstruction algorithm based on a single intensity in the Fresnel domain. , 2007, Optics express.

[13]  Hsuan T. Chang,et al.  Design of cascaded phase keys for a hierarchical security system , 2002 .

[14]  Hsuan T. Chang,et al.  Hybrid image cryptosystem based on dyadic phase displacement in the frequency domain , 2004 .

[15]  Chris Chatwin,et al.  Random phase encoding for optical security , 1996 .

[16]  Hsuan T Chang,et al.  Design of cascaded phase keys for hierarchical security system , 2002, IS&T/SPIE Electronic Imaging.

[17]  Zhou Xin,et al.  Multiple-image optical encryption: an improved encoding approach. , 2009, Applied optics.

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

[19]  Wen-Nung Lie,et al.  Multiple-image encryption and multiplexing using a modified Gerchberg-Saxton algorithm and phase modulation in Fresnel-transform domain. , 2009, Optics letters.

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

[21]  Wen-Nung Lie,et al.  Fast double-phase retrieval in Fresnel domain using modified Gerchberg-Saxton algorithm for lensless optical security systems. , 2009, Optics express.

[22]  Hsuan T. Chang,et al.  Image encryption using separable amplitude-based virtual image and iteratively retrieved phase information , 2009 .

[23]  Y Li,et al.  Security and encryption optical systems based on a correlator with significant output images. , 2000, Applied optics.

[24]  Jingjuan Zhang,et al.  Multiple-image encryption by wavelength multiplexing. , 2005, Optics letters.

[25]  Wen-Nung Lie,et al.  Lensless optical data embedding system using concealogram and cascaded digital Fresnel hologram. , 2011, Journal of the Optical Society of America. A, Optics, image science, and vision.

[26]  Hone-Ene Hwang,et al.  Fast algorithm of phase masks for image encryption in the Fresnel domain. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[27]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[28]  Dafne Amaya,et al.  Multichanneled encryption via a joint transform correlator architecture. , 2008, Applied optics.