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The two-step phase-shifting algorithm proposed previously is optimized, the original object wave field can be reconstructed by only one phase shift value in (0, π) and two interferograms, with the removal (or suppression) of background intensity (or dc term), and the additional measurements such as the object wave intensity, reference wave intensity, etc., are no longer required. Together with double random phase encoding technique in the Fresnel domain, the optimized two-step phase-shifting algorithm is then applied to image encryption system. The feasibility of the proposed scheme is verified by computer simulation. Furthermore, the sensitivity of geometrical keys has also been tested and analyzed.
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Keywords:
- information optics /
- phase-shifting interferometry /
- image encryption /
- digital image processing
[1] Carré P 1966 Metrologia. 2 13
[2] Yamaguchi I, Zhang T 1997 Opt. Lett. 22 1268
[3] Cai L Z, Liu Q, Yang X L 2004 Opt. Lett. 24 183
[4] Guo H W, Yu Y J, Chen M Y 2007 J. Opt. Soc. Am. A 24 25
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[6] Guo C S, Cheng X, Ren X Y, Ding J P, Wang H T 2004 Opt. Express 12 5166
[7] Xu X F, Cai L Z, Wang Y R, Yang, X L, Meng X F, Dong G Y, Shen X X, H. Zhang 2007 Appl. Phys. Lett. 90 121124
[8] Chen X, Gramaglia M, Yeazell J A 2000 Appl. Opt. 39 585
[9] Schwider J, Burow R, Elssner K E, Grzanna J, Spolaczyk R, Merkel K 1983 Appl. Opt. 22 3421
[10] Chen G L, Lin C Y, Yau H F, Kuo M K, Chang C C 2007 Opt. Express 15 11601
[11] Ramírez J A H, Garcia-Sucerquia J 2007 Opt. Commun. 277 259
[12] Guo C S, Yue Q Y, Wei G X, Lu L L, Yue S J 2008 Opt. Lett. 33 1945
[13] Meng X F, Cai L Z, Xu X F, Yang X L, Shen X X, Dong G Y, Wang Y R 2006 Opt. Lett. 31 1414
[14] Meng X F, Cai L Z, Wang Y R, Peng X 2009 Acta. Phys. Sin. 58 1668 (in Chinese) [孟祥锋、蔡履中、王玉荣、彭 翔 2009 58 1668] 〖15] Meng X F, Peng X, Cai L Z, Li A M, Guo J P, Wang Y R 2009 Opt. Lett. 34 1210
[15] Refrégier P, Javidi B 1995 Opt. Lett. 20 767
[16] Javidi B 2005 Optical and digital techniques for information security (New York: Springer)
[17] Meng X F, Cai L Z, Yang X L, Xu X F, Dong G Y, Shen X X, Zhang H, Wang Y R 2007 Appl. Opt. 46 4694
[18] Peng X, Tang H Q, Tian J D 2007 Acta. Phys. Sin. 56 2629 (in Chinese) [彭翔、汤红乔、田劲东 2007 56 2629]
[19] Peng X, Zhang P, Wei H Z, Yu B 2006 Acta. Phys. Sin. 55 1130 (in Chinese) [彭 翔、张 鹏、位恒政 2006 55 1130]
[20] Liu F M, Zhai H C, Yang X P 2003 Acta. Phys. Sin. 52 2462 (in Chinese) [刘福民、翟宏琛、杨晓苹 2003 52 2462]
[21] Gai Q, Wang M W, Li Z L, Zhai H C 2008 Acta. Phys. Sin. 57 6955 (in Chinese) [盖 琦、王明伟、李智磊、翟宏琛 2008 57 6955]
[22] Schnars U, Jüptner W P O 2002 Meas. Sci. Technol. 13 R85
[23] Gonzalez R Z, Woods R E 2002 Digital image processing (2nd edition) (Upper Saddle River: Prentice Hall)
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[1] Carré P 1966 Metrologia. 2 13
[2] Yamaguchi I, Zhang T 1997 Opt. Lett. 22 1268
[3] Cai L Z, Liu Q, Yang X L 2004 Opt. Lett. 24 183
[4] Guo H W, Yu Y J, Chen M Y 2007 J. Opt. Soc. Am. A 24 25
[5] Luo Z Y, Yang L F, Chen Y C 2005 Acta. Phys. Sin. 54 3051 (in Chinese) [罗志勇、杨丽峰、陈永昌 2005 54 3051]
[6] Guo C S, Cheng X, Ren X Y, Ding J P, Wang H T 2004 Opt. Express 12 5166
[7] Xu X F, Cai L Z, Wang Y R, Yang, X L, Meng X F, Dong G Y, Shen X X, H. Zhang 2007 Appl. Phys. Lett. 90 121124
[8] Chen X, Gramaglia M, Yeazell J A 2000 Appl. Opt. 39 585
[9] Schwider J, Burow R, Elssner K E, Grzanna J, Spolaczyk R, Merkel K 1983 Appl. Opt. 22 3421
[10] Chen G L, Lin C Y, Yau H F, Kuo M K, Chang C C 2007 Opt. Express 15 11601
[11] Ramírez J A H, Garcia-Sucerquia J 2007 Opt. Commun. 277 259
[12] Guo C S, Yue Q Y, Wei G X, Lu L L, Yue S J 2008 Opt. Lett. 33 1945
[13] Meng X F, Cai L Z, Xu X F, Yang X L, Shen X X, Dong G Y, Wang Y R 2006 Opt. Lett. 31 1414
[14] Meng X F, Cai L Z, Wang Y R, Peng X 2009 Acta. Phys. Sin. 58 1668 (in Chinese) [孟祥锋、蔡履中、王玉荣、彭 翔 2009 58 1668] 〖15] Meng X F, Peng X, Cai L Z, Li A M, Guo J P, Wang Y R 2009 Opt. Lett. 34 1210
[15] Refrégier P, Javidi B 1995 Opt. Lett. 20 767
[16] Javidi B 2005 Optical and digital techniques for information security (New York: Springer)
[17] Meng X F, Cai L Z, Yang X L, Xu X F, Dong G Y, Shen X X, Zhang H, Wang Y R 2007 Appl. Opt. 46 4694
[18] Peng X, Tang H Q, Tian J D 2007 Acta. Phys. Sin. 56 2629 (in Chinese) [彭翔、汤红乔、田劲东 2007 56 2629]
[19] Peng X, Zhang P, Wei H Z, Yu B 2006 Acta. Phys. Sin. 55 1130 (in Chinese) [彭 翔、张 鹏、位恒政 2006 55 1130]
[20] Liu F M, Zhai H C, Yang X P 2003 Acta. Phys. Sin. 52 2462 (in Chinese) [刘福民、翟宏琛、杨晓苹 2003 52 2462]
[21] Gai Q, Wang M W, Li Z L, Zhai H C 2008 Acta. Phys. Sin. 57 6955 (in Chinese) [盖 琦、王明伟、李智磊、翟宏琛 2008 57 6955]
[22] Schnars U, Jüptner W P O 2002 Meas. Sci. Technol. 13 R85
[23] Gonzalez R Z, Woods R E 2002 Digital image processing (2nd edition) (Upper Saddle River: Prentice Hall)
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