Abstract

The laws of light transmission by particle monolayers are investigated. The results of measurement of coherent transmission for monolayers formed by large nonabsorbing particles are presented. The obtained results are compared to the calculation in the single-scattering approximation. Good agreement between experimental and calculated data is shown.

© 1997 Optical Society of America

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References

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  1. A. Ishimaru, Y. Kuga, “Attenuation constant of a coherent field in a dense distribution of particles,” J. Opt. Soc. Am. 72, 1317–1320 (1982).
    [CrossRef]
  2. R. West, D. Gibbs, L. Tsang, A. K. Fung, “Comparison of optical scattering experiments and the quasi-crystalline approximation for dense media,” J. Opt. Soc. Am. A 11, 1854–1858 (1994).
    [CrossRef]
  3. J. A. Lock, C.-L. Chiu, “Correlated light scattering by a dense distribution of condensation droplets on a window pane,” Appl. Opt. 33, 4663–4671 (1994).
    [CrossRef] [PubMed]
  4. U. Riebel, P. Hickl, “Dense monolayers of monodisperse opaque spheres: transmission and diffraction in the Fraunhofer domain,” Part. Part. Syst. Charact. 10, 201–211 (1993).
    [CrossRef]
  5. U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse spheres. Part 2: Experimental results,” Part. Part. Syst. Charact. 12, 132–138 (1995).
    [CrossRef]
  6. C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
    [CrossRef]
  7. P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
    [CrossRef]
  8. H. C. van de Hulst, Light Scattering by Small Particles (Wiley-Interscience, New York, 1957), Chap. 4.
  9. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chap. 3.
  10. K. M. Hong, “Multiple scattering of electromagnetic waves by a crowded monolayer of spheres: application to migration imaging films,” J. Opt. Soc. Am. 70, 821–826 (1980).
    [CrossRef]
  11. V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
    [CrossRef]
  12. A. P. Ivanov, V. A. Loiko, V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka I Technica, Minsk, 1988), Chap. 2, in Russian.
  13. V. P. Dick, A. P. Ivanov, V. A. Loiko, “Angular structure of radiation scattered by monolayers of particles: experimental study,” Appl. Opt. 36, 4235–4240 (1997).
    [CrossRef] [PubMed]

1997 (1)

1995 (1)

U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse spheres. Part 2: Experimental results,” Part. Part. Syst. Charact. 12, 132–138 (1995).
[CrossRef]

1994 (3)

1993 (1)

U. Riebel, P. Hickl, “Dense monolayers of monodisperse opaque spheres: transmission and diffraction in the Fraunhofer domain,” Part. Part. Syst. Charact. 10, 201–211 (1993).
[CrossRef]

1992 (1)

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

1987 (1)

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
[CrossRef]

1982 (1)

1980 (1)

Bohren, C. F.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chap. 3.

Chiu, C.-L.

Dick, V. P.

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Angular structure of radiation scattered by monolayers of particles: experimental study,” Appl. Opt. 36, 4235–4240 (1997).
[CrossRef] [PubMed]

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
[CrossRef]

A. P. Ivanov, V. A. Loiko, V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka I Technica, Minsk, 1988), Chap. 2, in Russian.

Dinsmore, A. D.

P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
[CrossRef]

Fung, A. K.

Gibbs, D.

Hickl, P.

U. Riebel, P. Hickl, “Dense monolayers of monodisperse opaque spheres: transmission and diffraction in the Fraunhofer domain,” Part. Part. Syst. Charact. 10, 201–211 (1993).
[CrossRef]

Hong, K. M.

Huffman, D. R.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chap. 3.

Ishimaru, A.

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

A. Ishimaru, Y. Kuga, “Attenuation constant of a coherent field in a dense distribution of particles,” J. Opt. Soc. Am. 72, 1317–1320 (1982).
[CrossRef]

Ivanov, A. P.

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Angular structure of radiation scattered by monolayers of particles: experimental study,” Appl. Opt. 36, 4235–4240 (1997).
[CrossRef] [PubMed]

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
[CrossRef]

A. P. Ivanov, V. A. Loiko, V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka I Technica, Minsk, 1988), Chap. 2, in Russian.

Kaplan, P. D.

P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
[CrossRef]

Krauter, U.

U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse spheres. Part 2: Experimental results,” Part. Part. Syst. Charact. 12, 132–138 (1995).
[CrossRef]

Kuga, Y.

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

A. Ishimaru, Y. Kuga, “Attenuation constant of a coherent field in a dense distribution of particles,” J. Opt. Soc. Am. 72, 1317–1320 (1982).
[CrossRef]

Lock, J. A.

Loiko, V. A.

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Angular structure of radiation scattered by monolayers of particles: experimental study,” Appl. Opt. 36, 4235–4240 (1997).
[CrossRef] [PubMed]

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
[CrossRef]

A. P. Ivanov, V. A. Loiko, V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka I Technica, Minsk, 1988), Chap. 2, in Russian.

Mandt, C.

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

Pine, D. J.

P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
[CrossRef]

Riebel, U.

U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse spheres. Part 2: Experimental results,” Part. Part. Syst. Charact. 12, 132–138 (1995).
[CrossRef]

U. Riebel, P. Hickl, “Dense monolayers of monodisperse opaque spheres: transmission and diffraction in the Fraunhofer domain,” Part. Part. Syst. Charact. 10, 201–211 (1993).
[CrossRef]

Tsang, L.

R. West, D. Gibbs, L. Tsang, A. K. Fung, “Comparison of optical scattering experiments and the quasi-crystalline approximation for dense media,” J. Opt. Soc. Am. A 11, 1854–1858 (1994).
[CrossRef]

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley-Interscience, New York, 1957), Chap. 4.

West, R.

Yodh, A. G.

P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
[CrossRef]

Appl. Opt. (2)

J. Appl. Spectrosc. (USSR) (1)

V. P. Dick, A. P. Ivanov, V. A. Loiko, “Features of light scattering by a single-row layer of particles,” J. Appl. Spectrosc. (USSR) 46, 197–202 (1987).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (1)

Part. Part. Syst. Charact. (2)

U. Riebel, P. Hickl, “Dense monolayers of monodisperse opaque spheres: transmission and diffraction in the Fraunhofer domain,” Part. Part. Syst. Charact. 10, 201–211 (1993).
[CrossRef]

U. Riebel, U. Krauter, “Extinction of radiations in sterically interacting systems of monodisperse spheres. Part 2: Experimental results,” Part. Part. Syst. Charact. 12, 132–138 (1995).
[CrossRef]

Phys. Rev. E (1)

P. D. Kaplan, A. D. Dinsmore, A. G. Yodh, D. J. Pine, “Diffuse-transmission spectroscopy: a structural probe of opaque colloidal mixtures,” Phys. Rev. E 50, 4827–4835 (1994).
[CrossRef]

Waves Random Media (1)

C. Mandt, Y. Kuga, L. Tsang, A. Ishimaru, “Microwave propagation and scattering in a dense distribution of spherical particles: experiment and theory,” Waves Random Media 2, 225–234 (1992).
[CrossRef]

Other (3)

H. C. van de Hulst, Light Scattering by Small Particles (Wiley-Interscience, New York, 1957), Chap. 4.

C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983), Chap. 3.

A. P. Ivanov, V. A. Loiko, V. P. Dick, Propagation of Light in Densely Packed Disperse Media (Nauka I Technica, Minsk, 1988), Chap. 2, in Russian.

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Figures (2)

Fig. 1
Fig. 1

Diagram of the set for measuring the transmission coefficient of disperse media.

Fig. 2
Fig. 2

Coherent transmittance T c of the monolayers and rarefied media versus overlap coefficient η for rice starch in an alcohol mixture, rice starch in water, and latex: dots, experiment; dashed curves, calculation by Eq. (8); solid curves, calculation by Eq. (3) for rice starch and by Eq. (2) for latex.

Equations (8)

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Tc=1+2πikρf02,
Tc=1-Qextη+4πp0ΛQextx2Qextη2,
Tc=1-Q¯extη+L¯2Q¯extη2,
Q¯ext=0x2Qextxcxdx0x2cxdx,
L¯=80kf0, xcxdx20 x2Qextxcxdx2,
η=0 πr2crdr0crdr,
cd=d/dmexp-d/dmμ
Tc=exp-Q¯extη,

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