D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part II. Experimental investigation,” J. Opt. Soc. Am. A 28, 1904–1908 (2011).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

S. G. Hanson, T. F. Q. Iversen, and R. S. Hansen, “Dynamic properties of speckled speckles,” Proc. SPIE 7387, 738716 (2010).

[CrossRef]

D. Magatti, A. Gatti, and F. Ferri, “Three-dimensional coherence of light speckles: experiment,” Phys. Rev. A 79, 053831 (2009).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

J. E. Ward, D. P. Kelly, and J. T. Sheridan, “An alignment technique based on the speckle correlation properties of Fresnel transforming optical systems,” Proc. SPIE 7068, 70680L (2008).

[CrossRef]

A. Gatti, D. Magatti, and F. Ferri, “Three-dimensional coherence of light speckles: theory,” Phys. Rev. A 78, 063806 (2008).

[CrossRef]

X. Xiao and D. Voelz, “Wave optics simulation approach of partially coherent beams,” Opt. Express 14, 6986–6992(2006).

[CrossRef]

W. Wang, S. Hanson, and M. Takeda, “Complex amplitude correlations of dynamic laser speckle in complex ABCD optical systems,” J. Opt. Soc. Am. A 23, 2198–2207 (2006).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

V. S. R. Gudimetla, “Moments of the intensity of a non-circular Gaussian laser speckle in the diffraction field,” Opt. Commun. 130, 348–356 (1996).

[CrossRef]

T. Okamoto and T. Asakura, “Detection of the object velocity using doubly-scattered dynamic speckles under Gaussian beam illumination,” J. Mod. Opt. 38, 1821–1839 (1991).

[CrossRef]

R. Barakat, “Second- and fourth-order statistics of doubly scattered speckle,” Opt. Acta 33, 79–89 (1986).

[CrossRef]

I. S. Reed, “On a moment theorem for complex Gaussian processes,” IRE Trans. Inf. Theory IT-8, 194–195 (1962).

[CrossRef]

T. Okamoto and T. Asakura, “Detection of the object velocity using doubly-scattered dynamic speckles under Gaussian beam illumination,” J. Mod. Opt. 38, 1821–1839 (1991).

[CrossRef]

R. Barakat, “Second- and fourth-order statistics of doubly scattered speckle,” Opt. Acta 33, 79–89 (1986).

[CrossRef]

D. Magatti, A. Gatti, and F. Ferri, “Three-dimensional coherence of light speckles: experiment,” Phys. Rev. A 79, 053831 (2009).

[CrossRef]

A. Gatti, D. Magatti, and F. Ferri, “Three-dimensional coherence of light speckles: theory,” Phys. Rev. A 78, 063806 (2008).

[CrossRef]

T. Fricke-Begemann, “Optical measurement of deformation fields and surface processes with digital speckle correlation,” Ph.D. dissertation (Carl von Ossietzky Universitat Oldenburg, 2002).

D. Magatti, A. Gatti, and F. Ferri, “Three-dimensional coherence of light speckles: experiment,” Phys. Rev. A 79, 053831 (2009).

[CrossRef]

A. Gatti, D. Magatti, and F. Ferri, “Three-dimensional coherence of light speckles: theory,” Phys. Rev. A 78, 063806 (2008).

[CrossRef]

D. A. Tichenor and J. W. Goodman, “Coherent transfer function,” J. Opt. Soc. Am. 62, 293–295 (1972).

[CrossRef]

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts, 2006), pp. 47–53.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1966).

V. S. R. Gudimetla, “Moments of the intensity of a non-circular Gaussian laser speckle in the diffraction field,” Opt. Commun. 130, 348–356 (1996).

[CrossRef]

S. G. Hanson, T. F. Q. Iversen, and R. S. Hansen, “Dynamic properties of speckled speckles,” Proc. SPIE 7387, 738716 (2010).

[CrossRef]

H. T. Yura, S. G. Hanson, R. S. Hansen, and B. Rose, “Three-dimensional speckle dynamics in paraxial optical systems,” J. Opt. Soc. Am. A 16, 1402–1412 (1999).

[CrossRef]

S. G. Hanson, T. F. Q. Iversen, and R. S. Hansen, “Dynamic properties of speckled speckles,” Proc. SPIE 7387, 738716 (2010).

[CrossRef]

H. T. Yura, S. G. Hanson, R. S. Hansen, and B. Rose, “Three-dimensional speckle dynamics in paraxial optical systems,” J. Opt. Soc. Am. A 16, 1402–1412 (1999).

[CrossRef]

Personal communication, Prof. S. G. Hanson (during a research visit at the Technische Universität Ilmenau, Germany, November2012).

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

S. G. Hanson, T. F. Q. Iversen, and R. S. Hansen, “Dynamic properties of speckled speckles,” Proc. SPIE 7387, 738716 (2010).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

D. P. Kelly and D. Claus, “Filtering role of the sensor pixel in Fourier and Fresnel digital holography,” Appl. Opt. 52, A336–A345 (2013).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part II. Experimental investigation,” J. Opt. Soc. Am. A 28, 1904–1908 (2011).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

J. E. Ward, D. P. Kelly, and J. T. Sheridan, “An alignment technique based on the speckle correlation properties of Fresnel transforming optical systems,” Proc. SPIE 7068, 70680L (2008).

[CrossRef]

D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, “Fundamental diffraction limits in a paraxial 4-f imaging system with coherent and incoherent illumination,” J. Opt. Soc. Am. A 24, 1911–1919 (2007).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part II. Experimental investigation,” J. Opt. Soc. Am. A 28, 1904–1908 (2011).

[CrossRef]

D. Magatti, A. Gatti, and F. Ferri, “Three-dimensional coherence of light speckles: experiment,” Phys. Rev. A 79, 053831 (2009).

[CrossRef]

A. Gatti, D. Magatti, and F. Ferri, “Three-dimensional coherence of light speckles: theory,” Phys. Rev. A 78, 063806 (2008).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

T. Okamoto and T. Asakura, “Detection of the object velocity using doubly-scattered dynamic speckles under Gaussian beam illumination,” J. Mod. Opt. 38, 1821–1839 (1991).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

I. S. Reed, “On a moment theorem for complex Gaussian processes,” IRE Trans. Inf. Theory IT-8, 194–195 (1962).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, “Fundamental diffraction limits in a paraxial 4-f imaging system with coherent and incoherent illumination,” J. Opt. Soc. Am. A 24, 1911–1919 (2007).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part II. Experimental investigation,” J. Opt. Soc. Am. A 28, 1904–1908 (2011).

[CrossRef]

J. E. Ward, D. P. Kelly, and J. T. Sheridan, “An alignment technique based on the speckle correlation properties of Fresnel transforming optical systems,” Proc. SPIE 7068, 70680L (2008).

[CrossRef]

D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, “Fundamental diffraction limits in a paraxial 4-f imaging system with coherent and incoherent illumination,” J. Opt. Soc. Am. A 24, 1911–1919 (2007).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

J. E. Ward, D. P. Kelly, and J. T. Sheridan, “An alignment technique based on the speckle correlation properties of Fresnel transforming optical systems,” Proc. SPIE 7068, 70680L (2008).

[CrossRef]

I. S. Reed, “On a moment theorem for complex Gaussian processes,” IRE Trans. Inf. Theory IT-8, 194–195 (1962).

[CrossRef]

T. Okamoto and T. Asakura, “Detection of the object velocity using doubly-scattered dynamic speckles under Gaussian beam illumination,” J. Mod. Opt. 38, 1821–1839 (1991).

[CrossRef]

D. L. Fried, “Laser eye safety: the implications of ordinary speckle statistics and of speckled-speckle statistics,” J. Opt. Soc. Am. 71, 914–916 (1981).

[CrossRef]

D. A. Tichenor and J. W. Goodman, “Coherent transfer function,” J. Opt. Soc. Am. 62, 293–295 (1972).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

W. Wang, S. Hanson, and M. Takeda, “Complex amplitude correlations of dynamic laser speckle in complex ABCD optical systems,” J. Opt. Soc. Am. A 23, 2198–2207 (2006).

[CrossRef]

D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, “Fundamental diffraction limits in a paraxial 4-f imaging system with coherent and incoherent illumination,” J. Opt. Soc. Am. A 24, 1911–1919 (2007).

[CrossRef]

Y. Kuratomi, K. Sekiya, H. Satoh, T. Tomiyama, T. Kawakami, B. Katagiri, Y. Suzuki, and T. Uchida, “Speckle reduction mechanism in laser rear projection displays using a small moving diffuser,” J. Opt. Soc. Am. A 27, 1812–1817 (2010).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part I. Theory and a numerical investigation,” J. Opt. Soc. Am. A 28, 1896–1903 (2011).

[CrossRef]

D. Li, D. P. Kelly, and J. T. Sheridan, “Three-dimensional static speckle fields: part II. Experimental investigation,” J. Opt. Soc. Am. A 28, 1904–1908 (2011).

[CrossRef]

H. T. Yura, S. G. Hanson, R. S. Hansen, and B. Rose, “Three-dimensional speckle dynamics in paraxial optical systems,” J. Opt. Soc. Am. A 16, 1402–1412 (1999).

[CrossRef]

D. Newman, “K distributions from doubly scattered light,” J. Opt. Soc. Am. A 2, 22–26 (1985).

[CrossRef]

L. G. Shirley and N. George, “Speckle from a cascade of two thin diffusers,” J. Opt. Soc. Am. A 6, 765–781 (1989).

[CrossRef]

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[CrossRef]

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[CrossRef]

T. Yoshimura and S. Iwamoto, “Dynamic properties of three-dimensional speckles,” J. Opt. Soc. Am. A 10, 324–328 (1993).

[CrossRef]

R. Barakat, “Second- and fourth-order statistics of doubly scattered speckle,” Opt. Acta 33, 79–89 (1986).

[CrossRef]

V. S. R. Gudimetla, “Moments of the intensity of a non-circular Gaussian laser speckle in the diffraction field,” Opt. Commun. 130, 348–356 (1996).

[CrossRef]

D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, “Analytical and numerical analysis of linear optical systems,” Opt. Eng. 45, 088201 (2006).

[CrossRef]

D. P. Kelly, B. M. Hennelly, N. Pandey, T. J. Naughton, and W. T. Rhodes, “Resolution limits in practical digital holographic systems,” Opt. Eng. 48, 095801 (2009).

[CrossRef]

A. Gatti, D. Magatti, and F. Ferri, “Three-dimensional coherence of light speckles: theory,” Phys. Rev. A 78, 063806 (2008).

[CrossRef]

D. Magatti, A. Gatti, and F. Ferri, “Three-dimensional coherence of light speckles: experiment,” Phys. Rev. A 79, 053831 (2009).

[CrossRef]

S. G. Hanson, T. F. Q. Iversen, and R. S. Hansen, “Dynamic properties of speckled speckles,” Proc. SPIE 7387, 738716 (2010).

[CrossRef]

J. E. Ward, D. P. Kelly, and J. T. Sheridan, “An alignment technique based on the speckle correlation properties of Fresnel transforming optical systems,” Proc. SPIE 7068, 70680L (2008).

[CrossRef]

The Mathworks Ins., http://www.mathworks.co.uk/help/images/ref/imrotate.html (Data retrieved: November2012).

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts, 2006), pp. 47–53.

L. G. Shirley, “Laser speckle from thin and cascaded diffusers,” Ph.D. dissertation (University of Rochester, 1988).

Personal communication, Prof. S. G. Hanson (during a research visit at the Technische Universität Ilmenau, Germany, November2012).

T. Fricke-Begemann, “Optical measurement of deformation fields and surface processes with digital speckle correlation,” Ph.D. dissertation (Carl von Ossietzky Universitat Oldenburg, 2002).

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1966).