Abstract

A method for time-resolved recording of light scattering in thin, highly scattering media is described. Subpicosecond pulses from a high-power Ti:sapphire laser are used, and single-shot recordings of the scattered light are made with a fast streak camera. The method is applied to the study of light scattering in paper, and a 1-ps resolution is demonstrated. The dependence of the light scattering on the basis of weight and density of the paper has been studied. A white-light continuum generated from the high-power pulses by the use of self phase modulation in water is used to study the wavelength dependence of the scattering process. A model for the propagation of light in paper has been developed and used in Monte Carlo simulations. The experimental results are used for testing this model, and absorption and scattering parameters are determined from that comparison.

© 1995 Optical Society of America

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References

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1994 (1)

S. Svanberg, J. Larsson, A. Persson, C.-G. Wahlström, “Lund high-power laser facility—systems and first results,” Phys. Scr. 49, 187–197 (1994).
[Crossref]

1993 (1)

1992 (1)

1983 (1)

1954 (1)

1948 (1)

1941 (1)

L. G. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941).
[Crossref]

1931 (1)

P. Kubelka, F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. 12, 593–601 (1931).

Andersson-Engels, S.

Berg, R.

Bruscaglioni, P.

Carraressi, L.

Fork, R. L.

Greenstein, J. L.

L. G. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941).
[Crossref]

Gurioli, M.

Henyey, L. G.

L. G. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941).
[Crossref]

Hirlimann, C.

Ismaelli, A.

Kubelka, P.

Larsson, J.

S. Svanberg, J. Larsson, A. Persson, C.-G. Wahlström, “Lund high-power laser facility—systems and first results,” Phys. Scr. 49, 187–197 (1994).
[Crossref]

Munk, F.

P. Kubelka, F. Munk, “Ein Beitrag zur Optik der Farbanstriche,” Z. Tech. Phys. 12, 593–601 (1931).

Persson, A.

S. Svanberg, J. Larsson, A. Persson, C.-G. Wahlström, “Lund high-power laser facility—systems and first results,” Phys. Scr. 49, 187–197 (1994).
[Crossref]

S. Andersson-Engels, R. Berg, A. Persson, S. Svanberg, “Multispectral tissue characterization with time-resolved detection of diffusely scattered white light,” Opt. Lett. 18, 1697–1699 (1993).
[Crossref] [PubMed]

Shank, C. V.

Svanberg, S.

S. Svanberg, J. Larsson, A. Persson, C.-G. Wahlström, “Lund high-power laser facility—systems and first results,” Phys. Scr. 49, 187–197 (1994).
[Crossref]

S. Andersson-Engels, R. Berg, A. Persson, S. Svanberg, “Multispectral tissue characterization with time-resolved detection of diffusely scattered white light,” Opt. Lett. 18, 1697–1699 (1993).
[Crossref] [PubMed]

Tomlinson, W. J.

Wahlström, C.-G.

S. Svanberg, J. Larsson, A. Persson, C.-G. Wahlström, “Lund high-power laser facility—systems and first results,” Phys. Scr. 49, 187–197 (1994).
[Crossref]

Wei, Q.

Yen, R.

Zaccanti, G.

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Figures (11)

Fig. 1
Fig. 1

Experimental setup for time-resolved measurements of light scattering in a single sheet of paper.

Fig. 2
Fig. 2

Time-resolved recording of a 0.15-ps pulse of light at 796 nm scattered through one sheet of newsprint. Response function is a recording of the laser pulse. Scattered light is a recording of the pulse that has passed the 70-μm-thick sheet of newsprint.

Fig. 3
Fig. 3

Response function of the detection system (2.5-ps FWHM) and single-shot recordings of light pulses at 796 nm that have passed single sheets of paper with different basis weights. Weights are given per square meter.

Fig. 4
Fig. 4

Response function of the detection system (2.5-ps FWHM) and single-shot recordings of light pulses at 796 nm that have passed single sheets of paper with the same basis weight but different densities.

Fig. 5
Fig. 5

Time-resolved recordings of sub-picosecond pulses of different wavelengths that have passed a single sheet of paper with an 111-g/m2 basis weight.

Fig. 6
Fig. 6

Absolute reflection at different wavelengths for three different paper sheets.

Fig. 7
Fig. 7

Absolute transmission at different wavelengths for three different paper sheets.

Fig. 8
Fig. 8

Shift of the center of gravity of a light pulse that has passed through one sheet of TMP paper as a function of the basis weight of the paper.

Fig. 9
Fig. 9

Mean free path for absorption at different wavelengths for sheets of paper with different density. The values have been obtained by comparison of the experimental results with Monte Carlo simulations.

Fig. 10
Fig. 10

Mean distance between scattering interfaces at different wavelengths for sheets of paper with different density. The values have been obtained by comparison of the experimental results with Monte Carlo simulations.

Fig. 11
Fig. 11

Anisotropy parameter of the light scattering at different wavelengths for sheets of paper with different density. The values have been obtained by comparison of the experimental results with Monte Carlo simulations.

Tables (4)

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Table 1 Properties of the Studied Papers

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Table 2 FWHM’s of the Recorded Curves (in Picoseconds) for Different Wavelengths

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Table 3 Time from Peak to Center of Gravity of the Recorded Curves (in Picoseconds) for Different Wavelengths

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Table 4 Shift of Center of Gravity of the Recorded Curves Compared with the Recordings of the Laser Pulse (in Picoseconds) for Different Wavelengths

Equations (1)

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p ( cos θ ) = 1 - g 2 2 ( 1 + g 2 - 2 g cos θ ) 3 / 2 ,

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