Abstract

We demonstrate a reflection geometry frequency-domain technique that is suitable for measurement of the optical properties of a medium with moderate scatter and absorption (μs and μa1 m-1). Variations in absorption and scatter produce opposing tends in the amplitude signal and common trends in the phase signal, allowing unique determination of absorption and scattering coefficients for a given phase function. An analytical model based on single-scattering events gives good agreement with experimental measurements.

© 2000 Optical Society of America

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References

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  1. J. G. Fujimoto and M. S. Patterson, eds., Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D. C., 1998).
  2. B. Chance, R. R. Alfano, and B. J. Tromberg, eds., Optical Tomography and Spectroscopy of Tissue III, Proc. SPIE3597 (SPIE, Bellingham, Wash., 1999).
  3. B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
    [CrossRef]
  4. M. Gerken and G. W. Faris, Opt. Lett. 24, 930 (1999).
    [CrossRef]
  5. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 479–481.
  6. M. Gerken, D. Godfrey, and G. W. Faris, Proc. SPIE 3599, 86 (1999).
    [CrossRef]
  7. F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, Appl. Opt. 38, 4939 (1999).
    [CrossRef]

1999 (3)

1998 (1)

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Bevilacqua, F.

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 479–481.

Chance, B.

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Cope, M.

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Depeursinge, C.

Faris, G. W.

M. Gerken, D. Godfrey, and G. W. Faris, Proc. SPIE 3599, 86 (1999).
[CrossRef]

M. Gerken and G. W. Faris, Opt. Lett. 24, 930 (1999).
[CrossRef]

Gerken, M.

M. Gerken and G. W. Faris, Opt. Lett. 24, 930 (1999).
[CrossRef]

M. Gerken, D. Godfrey, and G. W. Faris, Proc. SPIE 3599, 86 (1999).
[CrossRef]

Godfrey, D.

M. Gerken, D. Godfrey, and G. W. Faris, Proc. SPIE 3599, 86 (1999).
[CrossRef]

Gratton, E.

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Gross, J. D.

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 479–481.

Marquet, P.

Piguet, D.

Ramanujam, N.

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Tromberg, B.

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Tromberg, B. J.

Appl. Opt. (1)

Opt. Lett. (1)

Proc. SPIE (1)

M. Gerken, D. Godfrey, and G. W. Faris, Proc. SPIE 3599, 86 (1999).
[CrossRef]

Rev. Sci. Instrum. (1)

B. Chance, M. Cope, E. Gratton, N. Ramanujam, and B. Tromberg, Rev. Sci. Instrum. 69, 3457 (1998).
[CrossRef]

Other (3)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), pp. 479–481.

J. G. Fujimoto and M. S. Patterson, eds., Advances in Optical Imaging and Photon Migration, Vol. 21 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D. C., 1998).

B. Chance, R. R. Alfano, and B. J. Tromberg, eds., Optical Tomography and Spectroscopy of Tissue III, Proc. SPIE3597 (SPIE, Bellingham, Wash., 1999).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup for frequency-domain measurements in a reflection geometry.

Fig. 2
Fig. 2

Experimental measurements (squares) and calculations (curves) for amplitude and phase as a function of scattering coefficient for a fixed absorption coefficient, μa=0.0145 cm-1.

Fig. 3
Fig. 3

Experimental measurements (squares) and calculations (curves) for amplitude and phase as a function of absorption coefficient for a fixed scattering coefficient, μs=0.013 cm-1.

Equations (2)

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P=P00zmax×μs04π+μs4πpπ-tan-1rz+Rδz-zmax×exp-μt+i2πλz+r2+z21/2ηzdz,
ηz=Ar2+z2zr2+z2Hz-zmin,

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