Abstract

It is proposed to apply an optical setup of a randomly weak rough dielectric film on a reflecting metal substrate for the measurement of high-order correlations from rough-surface scattering. The angular amplitude and intensity correlations are measured. Because of multiple scattering, when the input laser beam size is comparatively small or close to the travel pass length inside the film, C (2) and C (3) are measured by subtraction of the amplitude correlation from the intensity correlation.

© 2004 Optical Society of America

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  1. S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
    [CrossRef] [PubMed]
  2. I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
    [CrossRef] [PubMed]
  3. A. Z. Genack, “Fluctuations, correlation and average transport of electromagnetic radiation in random media,” in Scattering and Localization of Classical Waves in Random Media, P. Sheng, ed. (World Scientific, Singapore, 1990), pp. 207–311.
    [CrossRef]
  4. M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
    [CrossRef] [PubMed]
  5. P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
    [CrossRef]
  6. A. R. McGurn, A. A. Maradudin, “Intensity correlation function for light elastically scattered from a randomly rough metallic grating,” Phys. Rev. B 39, 13160–13169 (1989).
    [CrossRef]
  7. H. M. Escamilla, E. R. Mendez, D. F. Hotz, “Angular intensity correlation in the double passage of waves through a random phase screen,” Appl. Opt. 32, 2734–2743 (1993).
    [CrossRef] [PubMed]
  8. J. Q. Lu, Z.-H. Gu, “Angular correlation function of speckle patterns scattered from a one-dimensional rough dielectric film on a glass substrate,” Appl. Opt. 36, 4562–4570 (1997).
    [CrossRef] [PubMed]
  9. Z. Q. Lin, Z.-H. Gu, “Experimental study of the angular correlation function in the double passage of waves through a one-dimensional random phase screen,” Waves Random Media 7, 435–456 (1997).
    [CrossRef]
  10. Z.-H. Gu, “Speckle correlation around the backscattering direction in the double-passage configuration,” Appl. Opt. 39, 4684–4689 (2000).
    [CrossRef]
  11. A. Arsenieva, S. Feng, “Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces,” Phys. Rev. B 47, 13047–13050 (1993).
    [CrossRef]
  12. V. Malyshkin, A. R. McGurn, T. A. Leskova, A. A. Maradudin, M. Nieto-Vesperinas, “Speckle correlation in the light scattered from a weakly rough one-dimensional random metal surface,” Opt. Lett. 22, 946–948 (1997).
    [CrossRef] [PubMed]
  13. I. Simonsen, A. A. Maradudin, T. A. Leskova, “The angular intensity correlation functions C(1) and C(10) for the scattering of S-polarized light from a one-dimensional randomly rough dielectric surface,” in Rough Surface Scattering and Contamination, P. T. Chen, Z.-H. Gu, A. A. Maradudin, eds., Proc. SPIE3784, 218–231 (1999).
  14. Z.-H. Gu, J. Lu, M. Ciftan, “Coherence and fluctuation of light from rough surface scattering,” in Frontiers of Laser Physics and Quantum Optics (Springer-Verlag, Berlin, 2000), pp. 203–223.
    [CrossRef]
  15. Zong-Qi Li of Jiao Tong University, Shanghai, China aided with this research.
  16. R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
    [CrossRef]

2000 (2)

P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
[CrossRef]

Z.-H. Gu, “Speckle correlation around the backscattering direction in the double-passage configuration,” Appl. Opt. 39, 4684–4689 (2000).
[CrossRef]

1997 (3)

1993 (2)

H. M. Escamilla, E. R. Mendez, D. F. Hotz, “Angular intensity correlation in the double passage of waves through a random phase screen,” Appl. Opt. 32, 2734–2743 (1993).
[CrossRef] [PubMed]

A. Arsenieva, S. Feng, “Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces,” Phys. Rev. B 47, 13047–13050 (1993).
[CrossRef]

1990 (1)

M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
[CrossRef] [PubMed]

1989 (2)

R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
[CrossRef]

A. R. McGurn, A. A. Maradudin, “Intensity correlation function for light elastically scattered from a randomly rough metallic grating,” Phys. Rev. B 39, 13160–13169 (1989).
[CrossRef]

1988 (2)

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
[CrossRef] [PubMed]

Arsenieva, A.

A. Arsenieva, S. Feng, “Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces,” Phys. Rev. B 47, 13047–13050 (1993).
[CrossRef]

Berkovits, R.

R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
[CrossRef]

Ciftan, M.

Z.-H. Gu, J. Lu, M. Ciftan, “Coherence and fluctuation of light from rough surface scattering,” in Frontiers of Laser Physics and Quantum Optics (Springer-Verlag, Berlin, 2000), pp. 203–223.
[CrossRef]

de Boer, J. F.

M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
[CrossRef] [PubMed]

Escamilla, H. M.

Feng, S.

A. Arsenieva, S. Feng, “Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces,” Phys. Rev. B 47, 13047–13050 (1993).
[CrossRef]

R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
[CrossRef]

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
[CrossRef] [PubMed]

Freund, I.

I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
[CrossRef] [PubMed]

Genack, A. Z.

P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
[CrossRef]

A. Z. Genack, “Fluctuations, correlation and average transport of electromagnetic radiation in random media,” in Scattering and Localization of Classical Waves in Random Media, P. Sheng, ed. (World Scientific, Singapore, 1990), pp. 207–311.
[CrossRef]

Gu, Z.-H.

Z.-H. Gu, “Speckle correlation around the backscattering direction in the double-passage configuration,” Appl. Opt. 39, 4684–4689 (2000).
[CrossRef]

J. Q. Lu, Z.-H. Gu, “Angular correlation function of speckle patterns scattered from a one-dimensional rough dielectric film on a glass substrate,” Appl. Opt. 36, 4562–4570 (1997).
[CrossRef] [PubMed]

Z. Q. Lin, Z.-H. Gu, “Experimental study of the angular correlation function in the double passage of waves through a one-dimensional random phase screen,” Waves Random Media 7, 435–456 (1997).
[CrossRef]

Z.-H. Gu, J. Lu, M. Ciftan, “Coherence and fluctuation of light from rough surface scattering,” in Frontiers of Laser Physics and Quantum Optics (Springer-Verlag, Berlin, 2000), pp. 203–223.
[CrossRef]

Hotz, D. F.

Kane, C.

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

Kaveh, M.

R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
[CrossRef]

Lagendijk, A.

M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
[CrossRef] [PubMed]

Lee, P. A.

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

Leskova, T. A.

V. Malyshkin, A. R. McGurn, T. A. Leskova, A. A. Maradudin, M. Nieto-Vesperinas, “Speckle correlation in the light scattered from a weakly rough one-dimensional random metal surface,” Opt. Lett. 22, 946–948 (1997).
[CrossRef] [PubMed]

I. Simonsen, A. A. Maradudin, T. A. Leskova, “The angular intensity correlation functions C(1) and C(10) for the scattering of S-polarized light from a one-dimensional randomly rough dielectric surface,” in Rough Surface Scattering and Contamination, P. T. Chen, Z.-H. Gu, A. A. Maradudin, eds., Proc. SPIE3784, 218–231 (1999).

Lin, Z. Q.

Z. Q. Lin, Z.-H. Gu, “Experimental study of the angular correlation function in the double passage of waves through a one-dimensional random phase screen,” Waves Random Media 7, 435–456 (1997).
[CrossRef]

Lu, J.

Z.-H. Gu, J. Lu, M. Ciftan, “Coherence and fluctuation of light from rough surface scattering,” in Frontiers of Laser Physics and Quantum Optics (Springer-Verlag, Berlin, 2000), pp. 203–223.
[CrossRef]

Lu, J. Q.

Malyshkin, V.

Maradudin, A. A.

V. Malyshkin, A. R. McGurn, T. A. Leskova, A. A. Maradudin, M. Nieto-Vesperinas, “Speckle correlation in the light scattered from a weakly rough one-dimensional random metal surface,” Opt. Lett. 22, 946–948 (1997).
[CrossRef] [PubMed]

A. R. McGurn, A. A. Maradudin, “Intensity correlation function for light elastically scattered from a randomly rough metallic grating,” Phys. Rev. B 39, 13160–13169 (1989).
[CrossRef]

I. Simonsen, A. A. Maradudin, T. A. Leskova, “The angular intensity correlation functions C(1) and C(10) for the scattering of S-polarized light from a one-dimensional randomly rough dielectric surface,” in Rough Surface Scattering and Contamination, P. T. Chen, Z.-H. Gu, A. A. Maradudin, eds., Proc. SPIE3784, 218–231 (1999).

McGurn, A. R.

V. Malyshkin, A. R. McGurn, T. A. Leskova, A. A. Maradudin, M. Nieto-Vesperinas, “Speckle correlation in the light scattered from a weakly rough one-dimensional random metal surface,” Opt. Lett. 22, 946–948 (1997).
[CrossRef] [PubMed]

A. R. McGurn, A. A. Maradudin, “Intensity correlation function for light elastically scattered from a randomly rough metallic grating,” Phys. Rev. B 39, 13160–13169 (1989).
[CrossRef]

Mendez, E. R.

Nieto-Vesperinas, M.

Pnini, R.

P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
[CrossRef]

Rosenbluh, M.

I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
[CrossRef] [PubMed]

Sebbah, P.

P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
[CrossRef]

Simonsen, I.

I. Simonsen, A. A. Maradudin, T. A. Leskova, “The angular intensity correlation functions C(1) and C(10) for the scattering of S-polarized light from a one-dimensional randomly rough dielectric surface,” in Rough Surface Scattering and Contamination, P. T. Chen, Z.-H. Gu, A. A. Maradudin, eds., Proc. SPIE3784, 218–231 (1999).

Stone, A. D.

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

Van Albada, M. P.

M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
[CrossRef] [PubMed]

Appl. Opt. (3)

Opt. Lett. (1)

Phys. Rev. B (3)

R. Berkovits, M. Kaveh, S. Feng, “Memory effect of waves in disordered systems: a real space approach,” Phys. Rev. B 40, 737–740 (1989).
[CrossRef]

A. R. McGurn, A. A. Maradudin, “Intensity correlation function for light elastically scattered from a randomly rough metallic grating,” Phys. Rev. B 39, 13160–13169 (1989).
[CrossRef]

A. Arsenieva, S. Feng, “Correspondence between correlation functions and enhanced backscattering peak for scattering from smooth random surfaces,” Phys. Rev. B 47, 13047–13050 (1993).
[CrossRef]

Phys. Rev. E (1)

P. Sebbah, R. Pnini, A. Z. Genack, “Field and intensity correlation in random media,” Phys. Rev. E 62, 7348–7352 (2000).
[CrossRef]

Phys. Rev. Lett. (3)

M. P. Van Albada, J. F. de Boer, A. Lagendijk, “Observation of long-range intensity correlation in the transport of coherent light through a random medium,” Phys. Rev. Lett. 64, 2787–2790 (1990).
[CrossRef] [PubMed]

S. Feng, C. Kane, P. A. Lee, A. D. Stone, “Correlations and fluctuations of coherent wave propagation through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[CrossRef] [PubMed]

I. Freund, M. Rosenbluh, S. Feng, “Memory effect in propagation of optical waves through disordered media,” Phys. Rev. Lett. 61, 2328–2331 (1988).
[CrossRef] [PubMed]

Waves Random Media (1)

Z. Q. Lin, Z.-H. Gu, “Experimental study of the angular correlation function in the double passage of waves through a one-dimensional random phase screen,” Waves Random Media 7, 435–456 (1997).
[CrossRef]

Other (4)

A. Z. Genack, “Fluctuations, correlation and average transport of electromagnetic radiation in random media,” in Scattering and Localization of Classical Waves in Random Media, P. Sheng, ed. (World Scientific, Singapore, 1990), pp. 207–311.
[CrossRef]

I. Simonsen, A. A. Maradudin, T. A. Leskova, “The angular intensity correlation functions C(1) and C(10) for the scattering of S-polarized light from a one-dimensional randomly rough dielectric surface,” in Rough Surface Scattering and Contamination, P. T. Chen, Z.-H. Gu, A. A. Maradudin, eds., Proc. SPIE3784, 218–231 (1999).

Z.-H. Gu, J. Lu, M. Ciftan, “Coherence and fluctuation of light from rough surface scattering,” in Frontiers of Laser Physics and Quantum Optics (Springer-Verlag, Berlin, 2000), pp. 203–223.
[CrossRef]

Zong-Qi Li of Jiao Tong University, Shanghai, China aided with this research.

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Figures (5)

Fig. 1
Fig. 1

Schematic for a dielectric film on a metal substrate.

Fig. 2
Fig. 2

MBR instrument. A, aperture; BS, beam splitter; C, corner cube; M, mirror; ND, neutral-density filter; P, pinhole.

Fig. 3
Fig. 3

High-order correlation from dielectric film on a metal substrate at (a) θ i1 = 15° and (b) θ i1 = 25°. p-p, peak to peak.

Fig. 4
Fig. 4

Schematic for a dielectric film on a glass substrate.

Fig. 5
Fig. 5

High-order correlation from a 1-D dielectric film on glass. p-p, peak to peak.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

C=C1+C2+C3.
Cθi1, θs1; θi2, θs2=Iθi1, θs1Iθi2, θs2-Iθi1, θs1Iθi2, θs2Iθi1, θs12-Iθi1, θs12Iθi2, θs22-Iθi2, θs221/2,
Cθi1, θs1; θi2, θs2=|Eθi1, θs1E*θi2, θs2|2-Eθi1, θs1E*θi1, θs1Eθi2, θs2E*θi2, θs2|Eθi1, θs1E*θi1, θs1|2-|Eθi1, θs1E*θi1, θs1|2|Eθi2, θs2E*θi2, θs2|2-|Eθi2, θs2E*θi2, θs2|21/2,
sin θi1-sin θs1=sin θi2-sin θs2.

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