T. Alieva, M. J. Bastiaans, and L. Stankovic, "Signal reconstruction from two close fractional Fourier power spectra," IEEE Trans. Signal Process. 51, 112-123 (2003).

[CrossRef]

D. Dragoman, "Redundancy of phase-space distribution functions in complex field recovery problems," Appl. Opt. 42, 1932-1937 (2003).

[CrossRef]
[PubMed]

J. T. Sheridan, B. M. Hennelly, and D. P. Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003).

[CrossRef]
[PubMed]

L. Z. Cai and Y. Q. Yang, "Optical implementation of scale invariant fractional Fourier transform of continuously variable orders with a two-lens system," Opt. Laser Technol. 34, 249-252 (2002).

J. T. Sheridan and R. Patten, "Holographic interferometry and the fractional Fourier transformation," Opt. Lett. 25, 448-450 (2000).

[CrossRef]

T. Alieva and M. J. Bastiaans, "Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform," J. Opt. Soc. Am. A 17, 2324-2329 (2000).

[CrossRef]

T. Alieva and M. J. Bastiaans, "On fractional Fourier moments," IEEE Signal Process. Lett. 7, 320-323 (2000).

[CrossRef]

M. Jayashree, G. K. Dutta, and R. M. Vasu, "Optical tomographic microscope for quantitative imaging of phase objects," Appl. Opt. 39, 277-283 (2000).

[CrossRef]

G. K. Datta and R. M. Vasu, "Noninterferometric methods of phase estimation for application in optical tomography," J. Mod. Opt. 46, 1377-1388 (1999).

D. Paganin and K. A. Nugent, "Noninterferometric phase imaging with partially coherent light," Phys. Rev. Lett. 80, 2586-2589 (1998).

[CrossRef]

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998).

[CrossRef]

J. Tu and S. Tomura, "Analytical relation for revovering the mutual intensity by menas of intensity information," J. Opt. Soc. Am. A 15, 202-206 (1998).

[CrossRef]

J. Tu and S. Tomura, "Wave field determination using tomography of the ambiguity function," Phys. Rev. E 55, 1946-1949 (1997).

[CrossRef]

M. J. Bastiaans, "Application of Wigner distribution function in optics," in Wigner Distribution--Theory and Applications in Signal Processing, W.Mecklenbraüker and F.Hlawatsch, eds. (Elsevier Science, 1997), pp. 375-426.

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995).

[CrossRef]
[PubMed]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and the phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995).

[CrossRef]

N. Streibl, "Phase imaging by the transport equation of intensity," Opt. Commun. 49, 6-10 (1984).

[CrossRef]

T. Alieva, M. J. Bastiaans, and L. Stankovic, "Signal reconstruction from two close fractional Fourier power spectra," IEEE Trans. Signal Process. 51, 112-123 (2003).

[CrossRef]

T. Alieva and M. J. Bastiaans, "On fractional Fourier moments," IEEE Signal Process. Lett. 7, 320-323 (2000).

[CrossRef]

T. Alieva and M. J. Bastiaans, "Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform," J. Opt. Soc. Am. A 17, 2324-2329 (2000).

[CrossRef]

T. Alieva, M. J. Bastiaans, and L. Stankovic, "Signal reconstruction from two close fractional Fourier power spectra," IEEE Trans. Signal Process. 51, 112-123 (2003).

[CrossRef]

T. Alieva and M. J. Bastiaans, "On fractional Fourier moments," IEEE Signal Process. Lett. 7, 320-323 (2000).

[CrossRef]

T. Alieva and M. J. Bastiaans, "Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform," J. Opt. Soc. Am. A 17, 2324-2329 (2000).

[CrossRef]

M. J. Bastiaans, "Application of Wigner distribution function in optics," in Wigner Distribution--Theory and Applications in Signal Processing, W.Mecklenbraüker and F.Hlawatsch, eds. (Elsevier Science, 1997), pp. 375-426.

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, and D. F. McAlister, "Complex-wavefield reconstruction using phase-space tomography," Phys. Rev. Lett. 72, 1137-1140 (1994).

[CrossRef]
[PubMed]

L. Z. Cai and Y. Q. Yang, "Optical implementation of scale invariant fractional Fourier transform of continuously variable orders with a two-lens system," Opt. Laser Technol. 34, 249-252 (2002).

G. K. Datta and R. M. Vasu, "Noninterferometric methods of phase estimation for application in optical tomography," J. Mod. Opt. 46, 1377-1388 (1999).

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O' Neill, and J. T. Sheridan, "Paraxial speckle based metrology system with an aperture," J. Opt. Soc. Am. A 23, 2861-2870 (2006).

[CrossRef]

B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005).

[CrossRef]

J. T. Sheridan, B. M. Hennelly, and D. P. Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003).

[CrossRef]
[PubMed]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O' Neill, and J. T. Sheridan, "Paraxial speckle based metrology system with an aperture," J. Opt. Soc. Am. A 23, 2861-2870 (2006).

[CrossRef]

J. T. Sheridan, B. M. Hennelly, and D. P. Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003).

[CrossRef]
[PubMed]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

A. W. Lohmann and B. H. Soffer, "Relationship between the Radon-Wigner and fractional Fourier transforms," J. Opt. Soc. Am. A 11, 1798-1801 (1994).

[CrossRef]

K. Ichikawa, A. W. Lohmann, and M. Takeda, "Phase retrieval based on irradiance transport equation and the Fourier transport method," Appl. Opt. 27, 3433-3436 (1988).

[CrossRef]
[PubMed]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, and D. F. McAlister, "Complex-wavefield reconstruction using phase-space tomography," Phys. Rev. Lett. 72, 1137-1140 (1994).

[CrossRef]
[PubMed]

K. A. Nugent, "X-ray noninterferometric phase imaging," J. Opt. Soc. Am. A 24, 536-547 (2007).

[CrossRef]

D. Paganin and K. A. Nugent, "Noninterferometric phase imaging with partially coherent light," Phys. Rev. Lett. 80, 2586-2589 (1998).

[CrossRef]

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998).

[CrossRef]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and the phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995).

[CrossRef]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, and D. F. McAlister, "Complex-wavefield reconstruction using phase-space tomography," Phys. Rev. Lett. 72, 1137-1140 (1994).

[CrossRef]
[PubMed]

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998).

[CrossRef]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and the phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995).

[CrossRef]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O' Neill, and J. T. Sheridan, "Paraxial speckle based metrology system with an aperture," J. Opt. Soc. Am. A 23, 2861-2870 (2006).

[CrossRef]

B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005).

[CrossRef]

J. T. Sheridan, B. M. Hennelly, and D. P. Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003).

[CrossRef]
[PubMed]

J. T. Sheridan and R. Patten, "Holographic interferometry and the fractional Fourier transformation," Opt. Lett. 25, 448-450 (2000).

[CrossRef]

T. Alieva, M. J. Bastiaans, and L. Stankovic, "Signal reconstruction from two close fractional Fourier power spectra," IEEE Trans. Signal Process. 51, 112-123 (2003).

[CrossRef]

N. Streibl, "Phase imaging by the transport equation of intensity," Opt. Commun. 49, 6-10 (1984).

[CrossRef]

L. Z. Cai and Y. Q. Yang, "Optical implementation of scale invariant fractional Fourier transform of continuously variable orders with a two-lens system," Opt. Laser Technol. 34, 249-252 (2002).

M. Jayashree, G. K. Dutta, and R. M. Vasu, "Optical tomographic microscope for quantitative imaging of phase objects," Appl. Opt. 39, 277-283 (2000).

[CrossRef]

F. Roddier, "Wavefront sensing and the irradiance transport equation," Appl. Opt. 29, 1402-1403 (1990).

[CrossRef]
[PubMed]

K. Ichikawa, A. W. Lohmann, and M. Takeda, "Phase retrieval based on irradiance transport equation and the Fourier transport method," Appl. Opt. 27, 3433-3436 (1988).

[CrossRef]
[PubMed]

D. Dragoman, "Redundancy of phase-space distribution functions in complex field recovery problems," Appl. Opt. 42, 1932-1937 (2003).

[CrossRef]
[PubMed]

T. Alieva and M. J. Bastiaans, "On fractional Fourier moments," IEEE Signal Process. Lett. 7, 320-323 (2000).

[CrossRef]

T. Alieva, M. J. Bastiaans, and L. Stankovic, "Signal reconstruction from two close fractional Fourier power spectra," IEEE Trans. Signal Process. 51, 112-123 (2003).

[CrossRef]

G. K. Datta and R. M. Vasu, "Noninterferometric methods of phase estimation for application in optical tomography," J. Mod. Opt. 46, 1377-1388 (1999).

M. R. Teague, "Image formation in terms of transport equation," J. Opt. Soc. Am. A 2, 2019-2026 (1985).

[CrossRef]

T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and the phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995).

[CrossRef]

K. A. Nugent, "X-ray noninterferometric phase imaging," J. Opt. Soc. Am. A 24, 536-547 (2007).

[CrossRef]

J. Tu and S. Tomura, "Analytical relation for revovering the mutual intensity by menas of intensity information," J. Opt. Soc. Am. A 15, 202-206 (1998).

[CrossRef]

A. Semichaevsky and M. Testorf, "Phase-space interpretation of deterministic phase retrieval," J. Opt. Soc. Am. A 21, 2173-2179 (2004).

[CrossRef]

T. Alieva and M. J. Bastiaans, "Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform," J. Opt. Soc. Am. A 17, 2324-2329 (2000).

[CrossRef]

D. P. Kelly, J. E. Ward, U. Gopinathan, B. M. Hennelly, F. T. O' Neill, and J. T. Sheridan, "Paraxial speckle based metrology system with an aperture," J. Opt. Soc. Am. A 23, 2861-2870 (2006).

[CrossRef]

A. W. Lohmann, R. G. Dorsch, D. Mendlovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).

[CrossRef]

B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005).

[CrossRef]

A. W. Lohmann and B. H. Soffer, "Relationship between the Radon-Wigner and fractional Fourier transforms," J. Opt. Soc. Am. A 11, 1798-1801 (1994).

[CrossRef]

N. Streibl, "Phase imaging by the transport equation of intensity," Opt. Commun. 49, 6-10 (1984).

[CrossRef]

L. Z. Cai and Y. Q. Yang, "Optical implementation of scale invariant fractional Fourier transform of continuously variable orders with a two-lens system," Opt. Laser Technol. 34, 249-252 (2002).

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, "Quantitative optical phase microscopy," Opt. Lett. 23, 817-819 (1998).

[CrossRef]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995).

[CrossRef]
[PubMed]

J. T. Sheridan and R. Patten, "Holographic interferometry and the fractional Fourier transformation," Opt. Lett. 25, 448-450 (2000).

[CrossRef]

J. T. Sheridan, B. M. Hennelly, and D. P. Kelly, "Motion detection, the Wigner distribution function, and the optical fractional Fourier transform," Opt. Lett. 28, 884-886 (2003).

[CrossRef]
[PubMed]

J. Tu and S. Tomura, "Wave field determination using tomography of the ambiguity function," Phys. Rev. E 55, 1946-1949 (1997).

[CrossRef]

M. G. Raymer, M. Beck, and D. F. McAlister, "Complex-wavefield reconstruction using phase-space tomography," Phys. Rev. Lett. 72, 1137-1140 (1994).

[CrossRef]
[PubMed]

D. Paganin and K. A. Nugent, "Noninterferometric phase imaging with partially coherent light," Phys. Rev. Lett. 80, 2586-2589 (1998).

[CrossRef]

www.edmundoptics.com, Part No. NT45-045.

M. J. Bastiaans, "Application of Wigner distribution function in optics," in Wigner Distribution--Theory and Applications in Signal Processing, W.Mecklenbraüker and F.Hlawatsch, eds. (Elsevier Science, 1997), pp. 375-426.