Abstract

Speckle suppression in a two-diffuser system is examined. An analytical expression for the speckle space–time correlation function is derived, so that the speckle suppression mechanism can be investigated statistically. The grain size of the speckle field illuminating the second diffuser has a major impact on the speckle contrast after temporal averaging. It is shown that, when both the diffusers are rotating, the one with the lower rotating speed determines the period of the speckle correlation function. The coherent length of the averaged speckle intensity is shown to equal the mean speckle size of the individual speckle pattern before averaging. Numerical and experimental results are presented to verify our analysis in the context of speckle reduction.

© 2013 Optical Society of America

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2013 (2)

2011 (1)

2010 (4)

2008 (1)

2006 (1)

2004 (1)

K. Kasazumi, Y. Kitaoka, and K. M. A. K. Yamamoto, “A practical laser projector with new illumination optics for reduction of speckle noise,” Jpn. J. Appl. Phys. 43, 5904–5906 (2004).
[CrossRef]

1999 (1)

1993 (1)

1992 (1)

1990 (1)

1982 (2)

1980 (1)

J. D. Farina and L. M. Narducci, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–208 (1980).
[CrossRef]

1979 (1)

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

1976 (1)

1971 (1)

1962 (1)

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

1961 (1)

Akram, M. N.

Allen, G.

Cao, H.

Chen, X.

Churnside, J. H.

de Santis, P.

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

Dufresne, E. R.

Farina, J. D.

J. D. Farina and L. M. Narducci, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–208 (1980).
[CrossRef]

Fujiwara, K.

Goodman, J. W.

E. G. Rawson, A. B. Nafarrate, R. E. Norton, and J. W. Goodman, “Speckle-free rear-projection screen using two close screens in slow relative motion,” J. Opt. Soc. Am. 66, 1290–1294 (1976).
[CrossRef]

J. W. Goodman, Statistical Optics (Wiley, 2000), pp. 170–187.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 125–149.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 127–135.

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

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 188–194.

Gori, F.

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

Guattari, G.

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

Hansen, R. S.

Hanson, S. G.

Joyeux, D.

Kartashov, V.

Kasazumi, K.

K. Kasazumi, Y. Kitaoka, and K. M. A. K. Yamamoto, “A practical laser projector with new illumination optics for reduction of speckle noise,” Jpn. J. Appl. Phys. 43, 5904–5906 (2004).
[CrossRef]

Katagiri, B.

Kawakami, T.

Kelly, D. P.

Kirchner, M.

Kitaoka, Y.

K. Kasazumi, Y. Kitaoka, and K. M. A. K. Yamamoto, “A practical laser projector with new illumination optics for reduction of speckle noise,” Jpn. J. Appl. Phys. 43, 5904–5906 (2004).
[CrossRef]

Kuratomi, Y.

Lapchuk, A.

Leifer, I.

Leushacke, L.

Li, D.

Lowenthal, S.

Nafarrate, A. B.

Narducci, L. M.

J. D. Farina and L. M. Narducci, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–208 (1980).
[CrossRef]

Norton, R. E.

O’Donnell, K. A.

Oldham, W. G.

Ouyang, G.

Palma, C.

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

Partlo, W. N.

Rawson, E. G.

Redding, B.

Reed, I. S.

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

Richmond, C. N.

Rose, B.

Satoh, H.

Sekiya, K.

Sheridan, J. T.

Song, J.

Spencer, C. J. D.

Suzuki, Y.

Tomiyama, T.

Tong, Z.

Uchida, T.

Voelz, D.

Wang, K.

Welford, W. T.

Xiao, X.

Yamamoto, K. M. A. K.

K. Kasazumi, Y. Kitaoka, and K. M. A. K. Yamamoto, “A practical laser projector with new illumination optics for reduction of speckle noise,” Jpn. J. Appl. Phys. 43, 5904–5906 (2004).
[CrossRef]

Yan, X.

Yang, H.

Yoshimura, T.

Yun, S.

Yura, H. T.

Yurlov, V.

Appl. Opt. (4)

IRE Trans. Inf. Theory (1)

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

J. Opt. Soc. Am. (5)

J. Opt. Soc. Am. A (7)

Jpn. J. Appl. Phys. (1)

K. Kasazumi, Y. Kitaoka, and K. M. A. K. Yamamoto, “A practical laser projector with new illumination optics for reduction of speckle noise,” Jpn. J. Appl. Phys. 43, 5904–5906 (2004).
[CrossRef]

Opt. Commun. (2)

P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett-Wolf source,” Opt. Commun. 29, 256–260 (1979).
[CrossRef]

J. D. Farina and L. M. Narducci, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–208 (1980).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Other (5)

J. W. Goodman, Statistical Optics (Wiley, 2000), pp. 170–187.

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

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 127–135.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 188–194.

J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications, 1st ed. (Roberts & Company, 2006), pp. 125–149.

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