Abstract

A time-resolved backscattering model, which combines a single large-angle scattering with multiple small-angle scatterings, is used to produce a scattered-light profile about a medium. Inhomogeneity of the medium is included in the model. Some multidimensional integrals can be evaluated analytically.

© 1998 Optical Society of America

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References

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  1. A. Ya. Polishchuk and R. R. Alfano, Opt. Lett. 21, 916 (1996).
    [Crossref] [PubMed]
  2. L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
    [Crossref]
  3. I. L. Katsev, E. P. Zege, A. S. Prikhach, and I. N. Polonsky, J. Opt. Soc. Am. A 14, 1338 (1997).
    [Crossref]
  4. E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
    [Crossref]
  5. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  6. K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
    [Crossref] [PubMed]

1997 (1)

1996 (1)

1990 (1)

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[Crossref] [PubMed]

1966 (1)

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

Alfano, R. R.

A. Ya. Polishchuk and R. R. Alfano, Opt. Lett. 21, 916 (1996).
[Crossref] [PubMed]

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[Crossref] [PubMed]

Bohren, C. F.

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

Feld, M. S.

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

Huffman, D. R.

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

Itzkan, I.

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

Ivanov, A. P.

E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
[Crossref]

Katsev, I. L.

I. L. Katsev, E. P. Zege, A. S. Prikhach, and I. N. Polonsky, J. Opt. Soc. Am. A 14, 1338 (1997).
[Crossref]

E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
[Crossref]

Liu, F.

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[Crossref] [PubMed]

Perelman, L. T.

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

Polishchuk, A. Ya.

Polonsky, I. N.

Prikhach, A. S.

Wu, J.

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

Yoo, K. M.

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[Crossref] [PubMed]

Zege, E. P.

I. L. Katsev, E. P. Zege, A. S. Prikhach, and I. N. Polonsky, J. Opt. Soc. Am. A 14, 1338 (1997).
[Crossref]

E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
[Crossref]

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

Opt. Lett. (1)

Phys. Rev. Lett. (2)

L. T. Perelman, J. Wu, I. Itzkan, and M. S. Feld, Phys. Rev. Lett. 72, 1341 (1966).
[Crossref]

K. M. Yoo, F. Liu, and R. R. Alfano, Phys. Rev. Lett. 64, 2647 (1990).
[Crossref] [PubMed]

Other (2)

E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
[Crossref]

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

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Figures (2)

Fig. 1
Fig. 1

Schematic diagram of the proposed model.

Fig. 2
Fig. 2

Simulated temporal profile of backscattering of a half-infinite uniform medium with lt=2 mm and the following source–detector separations xd: (a) xd=0.5lt, (b) xd=1.0lt, (c) xd=2.0lt, (d) xd=5.0lt. Note the different scales.

Equations (5)

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I1(rd,sd,t|rs,ss)=dtdrdsI0×(r,s,t-t|rd,-sd)×[μsrP2-s,s,rI0×(r,s,t|rs,ss)ds-1-αI0(r,-s,t|rs,ss)].
N(r2,t|r1=0,s1)=ds2I0×(r2,s2,t|r1=0,s1)=14πDLtct1/2exp-rL-rc24DLtct×14πDTtctexp-rT24DTtct×exp-μa0t,
F(s2,t|s1)=dr2I0(r2,s2,t|r1,s1)=l=02l+14πexp-c2l¯tll+1t×Plcoss2s1,
I0(r2,s2,t|r1,s1)=N(r2,t|r1,s1)F(s2,t|s1)-34πHct-r2-r1DLtL+DTtTN(r2,t|r1,s1)s2.
ds2Pncoss1s2Pncoss2s3=4π2n+1δnnPncoss1s3,

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