A single-channel color image encryption is proposed based on the modified Gerchberg–Saxton algorithm (MGSA) and mutual encoding in the Fresnel domain. Similar to the double random phase encoding (DRPE), this encryption scheme also employs a pair of phase-only functions (POFs) as encryption keys. But the two POFs are generated by the use of the MGSA rather than a random function generator. In the encryption process, only one color component is needed to be encrypted when these POFs are mutually served as the second encryption keys. As a result, a more compact and simple color encryption system based on one-time-pad, enabling only one gray cipheretext to be recorded and transmitted when holographic recording is used, is obtained. Moreover, the optical setup is lensless, thus easy to be implemented and the system parameters and wavelength can be served as additional keys to further enhance the security of the system. The feasibility and effectiveness of the proposed method are demonstrated by numerical results.
© 2011 Optical Society of America
Fourier Optics and Signal Processing
Original Manuscript: May 9, 2011
Revised Manuscript: June 16, 2011
Manuscript Accepted: June 21, 2011
Published: October 31, 2011
Xiaopeng Deng and Daomu Zhao, "Single-channel color image encryption using a modified Gerchberg–Saxton algorithm and mutual encoding in the Fresnel domain," Appl. Opt. 50, 6019-6025 (2011)