2000
DOI: 10.1364/ol.25.000887
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Optical encryption by double-random phase encoding in the fractional Fourier domain

Abstract: We propose an optical architecture that encodes a primary image to stationary white noise by using two statistically independent random phase codes. The encoding is done in the fractional Fourier domain. The optical distribution in any two planes of a quadratic phase system (QPS) are related by fractional Fourier transform of the appropriately scaled distribution in the two input planes. Thus a QPS offers a continuum of planes in which encoding can be done. The six parameters that characterize the QPS in addit… Show more

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Cited by 1,069 publications
(421 citation statements)
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“…The properties of this system and systems like it have been investigated extensively [71][72][73][74][75]. Various other linear optical systems have also been proposed in similar encryption architectures [76][77][78][79][80][81][82][83][84]. For example, the random phase keys can be located in a fractional Fourier domain [76][77][78][79][80][81] or a Fresnel domain [61,82,83].…”
Section: Optical Image Encryptionmentioning
confidence: 99%
See 1 more Smart Citation
“…The properties of this system and systems like it have been investigated extensively [71][72][73][74][75]. Various other linear optical systems have also been proposed in similar encryption architectures [76][77][78][79][80][81][82][83][84]. For example, the random phase keys can be located in a fractional Fourier domain [76][77][78][79][80][81] or a Fresnel domain [61,82,83].…”
Section: Optical Image Encryptionmentioning
confidence: 99%
“…Various other linear optical systems have also been proposed in similar encryption architectures [76][77][78][79][80][81][82][83][84]. For example, the random phase keys can be located in a fractional Fourier domain [76][77][78][79][80][81] or a Fresnel domain [61,82,83]. The most general form of the linear canonical transform, implemented with any arbitrary quadratic phase system, has also been used in an encryption system that uses random phase as a key [84].…”
Section: Optical Image Encryptionmentioning
confidence: 99%
“…The experimental realization of the DRPE has been initially carried out in a 4 f -processor [7][8], and it has been extended to the Fresnel [9][10] and Fractional Fourier [11] domains. In addition to these 4 f -systembased optical encryption methods, the joint transform correlator (JTC) [8] has been proposed to alleviate the accurate optical alignment requirements and avoid the need of complex conjugating the key code of the 4 fsystem [12][13][14].…”
Section: Introductionmentioning
confidence: 99%
“…Most of the optical security systems usually deal with a single primary image (for instance, an object, a plaintext, a signature, a biometric signal) as authenticator [2][3][4][5][6][7][10][11][12][13][14][18][19][20][21][22][23]. Some approaches permit to store multiple primary images, either in an optical memory [9] or in a single encrypted distribution [24][25][26][27], with the purpose of sequential and independent one-by-one decryption.…”
Section: Introductionmentioning
confidence: 99%
“…In every field where Fourier transform is used, the processing effect can be greatly improved by using FRFT. Many researches on data encryption with FRFT have been reported [5][6][7][8][9][10][11][12][13][14]. Unnikrishnan et al [5,6] encoded a primary image to stationary white noise by using two statistically independent random phase masks in fractional Fourier domains.…”
Section: Introductionmentioning
confidence: 99%