Y. Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett. 89, 041117 (2006).

[CrossRef]

Y. Cai and L. Hu, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system," Opt. Lett. 31, 685-687 (2006).

[CrossRef]
[PubMed]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence subwavelength fractional Fourier transform," J. Opt. Soc. Am. A 23, 835-841 (2006).

[CrossRef]

Y. Cai and F. Wang, "Lensless optical implementation of the coincidence fractional Fourier transform," Opt. Lett. 31, 2278-2280 (2006).

[CrossRef]
[PubMed]

F. Wang, Y. Cai, and S. He, "Experimental observation of coincidence fractional Fourier transform with a partially coherent beam," Opt. Express 14, 6999-7004 (2006).

[CrossRef]
[PubMed]

C. Zheng, "Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam," J. Opt. Soc. Am. A 23, 2161-2165 (2006).

[CrossRef]

Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phys. Lett. 86, 021112 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Phys. Rev. E 71, 056607 (2005).

[CrossRef]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherenttwisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).

[CrossRef]

J. C. Ricklin and F. M. Davidson, "Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication," J. Opt. Soc. Am. A 19, 1794-1802 (2002).

[CrossRef]

Y. Cai and Q. Lin, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams in dispersive and absorbing media," J. Opt. Soc. Am. A 19, 2036-2042 (2002).

[CrossRef]

Q. Lin and Y. Cai, "Fractional Fourier transform for partially coherent Gaussian-Schell model beams," Opt. Lett. 27, 1672-1674 (2002).

[CrossRef]

S. Anand, B. K. Yadav, and H. C. Kandpal, "Experimental study of the phenomenon of 1×N spectral switch due to diffraction of partially coherent light," J. Opt. Soc. Am. A 19, 2223-2228 (2002).

[CrossRef]

A. Torre, "The fractional Fourier transform and some of its applications to optics," in Progress in Optics, E.Wolf, ed. (Elsevier, 2002), Vol. 43.

[CrossRef]

Y. Cai and Q. Lin, "Spectral shift of partially coherent twisted anisotropic Gaussian Schell-model beams in free space," Opt. Commun. 204, 17-23 (2002).

S. C. Pei, M. H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).

[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).

[CrossRef]

A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics, Vol. XXXVIII, E.Wolf, ed. (Elsevier, 1998).

[CrossRef]

Y. Zhang, B. Dong, B. Gu, and G. Yang, "Beam shaping in the fractional Fourier transform domain," J. Opt. Soc. Am. A 15, 1114-1120 (1998).

[CrossRef]

D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

A. Belendez, L. Carretero, and A. Fimia, "The use of partially coherent light to reduce the efficiency of silver-halide noise gratings," Opt. Commun. 98, 236-240 (1993).

[CrossRef]

R. Simon and N. Mukunda, "Twisted Gaussian Schell-model beams," J. Opt. Soc. Am. A 10, 95-109 (1993).

[CrossRef]

D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993).

[CrossRef]

A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation: II," J. Opt. Soc. Am. A 10, 2522-2531 (1993).

[CrossRef]

Q. S. He, J. Turunen, and A. T. Friberg, "Propagation and imaging experiments with Gaussian Schell-model beams," Opt. Commun. 67, 245-250 (1988).

[CrossRef]

E. Wolf, "Non-cosmological redshifts of spectral lines," Nature 326, 363-365 (1987).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: passage through optical systems and associated invariants," Phys. Rev. A 31, 2419-2434 (1985).

[CrossRef]
[PubMed]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields," Phys. Rev. A 29, 3273-3279 (1984).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

A. Belendez, L. Carretero, and A. Fimia, "The use of partially coherent light to reduce the efficiency of silver-halide noise gratings," Opt. Commun. 98, 236-240 (1993).

[CrossRef]

Y. Cai and L. Hu, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system," Opt. Lett. 31, 685-687 (2006).

[CrossRef]
[PubMed]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence subwavelength fractional Fourier transform," J. Opt. Soc. Am. A 23, 835-841 (2006).

[CrossRef]

F. Wang, Y. Cai, and S. He, "Experimental observation of coincidence fractional Fourier transform with a partially coherent beam," Opt. Express 14, 6999-7004 (2006).

[CrossRef]
[PubMed]

Y. Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett. 89, 041117 (2006).

[CrossRef]

Y. Cai and F. Wang, "Lensless optical implementation of the coincidence fractional Fourier transform," Opt. Lett. 31, 2278-2280 (2006).

[CrossRef]
[PubMed]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phys. Lett. 86, 021112 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Phys. Rev. E 71, 056607 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Ghost interference with partially coherent radiation," Opt. Lett. 29, 2716-2718 (2004).

[CrossRef]
[PubMed]

Y. Cai and Q. Lin, "Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane," J. Opt. Soc. Am. A 20, 1528-1536 (2003).

[CrossRef]

Y. Cai and Q. Lin, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams in dispersive and absorbing media," J. Opt. Soc. Am. A 19, 2036-2042 (2002).

[CrossRef]

Q. Lin and Y. Cai, "Fractional Fourier transform for partially coherent Gaussian-Schell model beams," Opt. Lett. 27, 1672-1674 (2002).

[CrossRef]

Y. Cai and Q. Lin, "Spectral shift of partially coherent twisted anisotropic Gaussian Schell-model beams in free space," Opt. Commun. 204, 17-23 (2002).

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherenttwisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).

[CrossRef]

A. Belendez, L. Carretero, and A. Fimia, "The use of partially coherent light to reduce the efficiency of silver-halide noise gratings," Opt. Commun. 98, 236-240 (1993).

[CrossRef]

A. Belendez, L. Carretero, and A. Fimia, "The use of partially coherent light to reduce the efficiency of silver-halide noise gratings," Opt. Commun. 98, 236-240 (1993).

[CrossRef]

E. Tervonen, A. T. Friberg, and J. Turunen, "Gaussian Schell-model beams generated with synthetic acousto-optic holograms," J. Opt. Soc. Am. A 9, 796-803 (1992).

[CrossRef]

Q. S. He, J. Turunen, and A. T. Friberg, "Propagation and imaging experiments with Gaussian Schell-model beams," Opt. Commun. 67, 245-250 (1988).

[CrossRef]

Q. S. He, J. Turunen, and A. T. Friberg, "Propagation and imaging experiments with Gaussian Schell-model beams," Opt. Commun. 67, 245-250 (1988).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

Y. Cai, Q. Lin, and S. Zhu, "Coincidence subwavelength fractional Fourier transform," J. Opt. Soc. Am. A 23, 835-841 (2006).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phys. Lett. 86, 021112 (2005).

[CrossRef]

Y. Cai and Q. Lin, "Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane," J. Opt. Soc. Am. A 20, 1528-1536 (2003).

[CrossRef]

Y. Cai and Q. Lin, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams in dispersive and absorbing media," J. Opt. Soc. Am. A 19, 2036-2042 (2002).

[CrossRef]

Y. Cai and Q. Lin, "Spectral shift of partially coherent twisted anisotropic Gaussian Schell-model beams in free space," Opt. Commun. 204, 17-23 (2002).

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherenttwisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).

[CrossRef]

Q. Lin and Y. Cai, "Fractional Fourier transform for partially coherent Gaussian-Schell model beams," Opt. Lett. 27, 1672-1674 (2002).

[CrossRef]

A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics, Vol. XXXVIII, E.Wolf, ed. (Elsevier, 1998).

[CrossRef]

D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).

[CrossRef]

A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

S. C. Pei, M. H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics, Vol. XXXVIII, E.Wolf, ed. (Elsevier, 1998).

[CrossRef]

D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation: II," J. Opt. Soc. Am. A 10, 2522-2531 (1993).

[CrossRef]

D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

R. Simon and N. Mukunda, "Twisted Gaussian Schell-model beams," J. Opt. Soc. Am. A 10, 95-109 (1993).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: passage through optical systems and associated invariants," Phys. Rev. A 31, 2419-2434 (1985).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields," Phys. Rev. A 29, 3273-3279 (1984).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation: II," J. Opt. Soc. Am. A 10, 2522-2531 (1993).

[CrossRef]

D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993).

[CrossRef]

S. C. Pei, M. H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).

[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).

[CrossRef]

R. Simon and N. Mukunda, "Twisted Gaussian Schell-model beams," J. Opt. Soc. Am. A 10, 95-109 (1993).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: passage through optical systems and associated invariants," Phys. Rev. A 31, 2419-2434 (1985).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields," Phys. Rev. A 29, 3273-3279 (1984).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: passage through optical systems and associated invariants," Phys. Rev. A 31, 2419-2434 (1985).

[CrossRef]
[PubMed]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields," Phys. Rev. A 29, 3273-3279 (1984).

[CrossRef]

A. Torre, "The fractional Fourier transform and some of its applications to optics," in Progress in Optics, E.Wolf, ed. (Elsevier, 2002), Vol. 43.

[CrossRef]

E. Tervonen, A. T. Friberg, and J. Turunen, "Gaussian Schell-model beams generated with synthetic acousto-optic holograms," J. Opt. Soc. Am. A 9, 796-803 (1992).

[CrossRef]

Q. S. He, J. Turunen, and A. T. Friberg, "Propagation and imaging experiments with Gaussian Schell-model beams," Opt. Commun. 67, 245-250 (1988).

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).

E. Wolf, "Non-cosmological redshifts of spectral lines," Nature 326, 363-365 (1987).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

S. C. Pei, M. H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics, Vol. XXXVIII, E.Wolf, ed. (Elsevier, 1998).

[CrossRef]

D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).

[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence subwavelength fractional Fourier transform," J. Opt. Soc. Am. A 23, 835-841 (2006).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phys. Lett. 86, 021112 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Phys. Rev. E 71, 056607 (2005).

[CrossRef]

Y. Cai and S. Zhu, "Ghost interference with partially coherent radiation," Opt. Lett. 29, 2716-2718 (2004).

[CrossRef]
[PubMed]

Y. Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett. 89, 041117 (2006).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence fractional Fourier transform with entangled photon pairs and incoherent light," Appl. Phys. Lett. 86, 021112 (2005).

[CrossRef]

S. C. Pei, M. H. Yeh, and T. L. Luo, "Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform," IEEE Trans. Signal Process. 47, 2883-2888 (1999).

[CrossRef]

J. C. Ricklin and F. M. Davidson, "Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication," J. Opt. Soc. Am. A 19, 1794-1802 (2002).

[CrossRef]

Y. Cai and Q. Lin, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams in dispersive and absorbing media," J. Opt. Soc. Am. A 19, 2036-2042 (2002).

[CrossRef]

S. Anand, B. K. Yadav, and H. C. Kandpal, "Experimental study of the phenomenon of 1×N spectral switch due to diffraction of partially coherent light," J. Opt. Soc. Am. A 19, 2223-2228 (2002).

[CrossRef]

Y. Cai and Q. Lin, "Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane," J. Opt. Soc. Am. A 20, 1528-1536 (2003).

[CrossRef]

Y. Cai and S. Zhu, "Coincidence fractional Fourier transform with partially coherent light radiation," J. Opt. Soc. Am. A 22, 1798-1804 (2005).

[CrossRef]

Y. Cai, Q. Lin, and S. Zhu, "Coincidence subwavelength fractional Fourier transform," J. Opt. Soc. Am. A 23, 835-841 (2006).

[CrossRef]

C. Zheng, "Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam," J. Opt. Soc. Am. A 23, 2161-2165 (2006).

[CrossRef]

Y. Zhang, B. Dong, B. Gu, and G. Yang, "Beam shaping in the fractional Fourier transform domain," J. Opt. Soc. Am. A 15, 1114-1120 (1998).

[CrossRef]

M. J. Bastiaans, "Application of the Wigner distribution function to partially coherent light," J. Opt. Soc. Am. A 3, 1227-1238 (1986).

[CrossRef]

E. Tervonen, A. T. Friberg, and J. Turunen, "Gaussian Schell-model beams generated with synthetic acousto-optic holograms," J. Opt. Soc. Am. A 9, 796-803 (1992).

[CrossRef]

R. Simon and N. Mukunda, "Twisted Gaussian Schell-model beams," J. Opt. Soc. Am. A 10, 95-109 (1993).

[CrossRef]

D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transforms and their optical implementation: I," J. Opt. Soc. Am. A 10, 1875-1881 (1993).

[CrossRef]

A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).

[CrossRef]

H. M. Ozaktas and D. Mendlovic, "Fractional Fourier transforms and their optical implementation: II," J. Opt. Soc. Am. A 10, 2522-2531 (1993).

[CrossRef]

D. Mendlovic, Z. Zalevsky, R. G. Dorsch, Y. Bitran, A. W. Lohmann, and H. Ozaktas, "New signal representation based on the fractional Fourier transform: definitions," J. Opt. Soc. Am. A 12, 2424-2431 (1995).

[CrossRef]

E. Wolf, "Non-cosmological redshifts of spectral lines," Nature 326, 363-365 (1987).

[CrossRef]

J. Pu, H. Zhang, and S. Nemoto, "Spectral shifts and spectral switches of partially coherent light passing through an aperture," Opt. Commun. 162, 57-63 (1999).

[CrossRef]

Q. S. He, J. Turunen, and A. T. Friberg, "Propagation and imaging experiments with Gaussian Schell-model beams," Opt. Commun. 67, 245-250 (1988).

[CrossRef]

A. Belendez, L. Carretero, and A. Fimia, "The use of partially coherent light to reduce the efficiency of silver-halide noise gratings," Opt. Commun. 98, 236-240 (1993).

[CrossRef]

Y. Cai and Q. Lin, "Spectral shift of partially coherent twisted anisotropic Gaussian Schell-model beams in free space," Opt. Commun. 204, 17-23 (2002).

Y. Cai and F. Wang, "Lensless optical implementation of the coincidence fractional Fourier transform," Opt. Lett. 31, 2278-2280 (2006).

[CrossRef]
[PubMed]

Y. Cai and L. Hu, "Propagation of partially coherent twisted anisotropic Gaussian Schell-model beams through an apertured astigmatic optical system," Opt. Lett. 31, 685-687 (2006).

[CrossRef]
[PubMed]

Y. Cai and S. Zhu, "Ghost interference with partially coherent radiation," Opt. Lett. 29, 2716-2718 (2004).

[CrossRef]
[PubMed]

Q. Lin and Y. Cai, "Fractional Fourier transform for partially coherent Gaussian-Schell model beams," Opt. Lett. 27, 1672-1674 (2002).

[CrossRef]

B. Zhu, S. Liu, and Q. Ran, "Optical image encryption based on multi-fractional Fourier transforms," Opt. Lett. 25, 1159-1161 (2000).

[CrossRef]

X. Xue, H. Q. Wei, and A. G. Kirk, "Beam analysis by fractional Fourier transform," Opt. Lett. 26, 1746-1748 (2001).

[CrossRef]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherenttwisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Generalized rays in first-order optics: transformation properties of Gaussian Schell-model fields," Phys. Rev. A 29, 3273-3279 (1984).

[CrossRef]

R. Simon, E. C. G. Sudarshan, and N. Mukunda, "Anisotropic Gaussian Schell-model beams: passage through optical systems and associated invariants," Phys. Rev. A 31, 2419-2434 (1985).

[CrossRef]
[PubMed]

Y. Cai and S. Zhu, "Ghost imaging with incoherent and partially coherent light radiation," Phys. Rev. E 71, 056607 (2005).

[CrossRef]

Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, "Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression," Phys. Rev. Lett. 53, 1057-1060 (1984).

[CrossRef]

A. W. Lohmann, D. Medlovic, and Z. Zalevsky, "Fractional transformations in optics," in Progress in Optics, Vol. XXXVIII, E.Wolf, ed. (Elsevier, 1998).

[CrossRef]

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).

A. Torre, "The fractional Fourier transform and some of its applications to optics," in Progress in Optics, E.Wolf, ed. (Elsevier, 2002), Vol. 43.

[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).