Abstract

We describe a fast and accurate method for the determination of the specific surface area of snow samples based on the measurements of the snow reflection function at a single wavelength and geometry. The method is less sensitive to the assumed shape of particles as compared with other techniques. The concept of the snow scaling constant is introduced, and its value is derived from simultaneous measurements of light reflectance and methane adsorption.

© 2006 Optical Society of America

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References

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  1. B. Bourdelles and M. Fily, Ann. Glaciol. 17, 86 (1993).
  2. M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
    [CrossRef]
  3. A. W. Nolin and J. Dozier, Remote Sens. Environ. 44, 231 (1993).
    [CrossRef]
  4. A. W. Nolin and J. Dozier, Remote Sens. Environ. 74, 207 (2000).
    [CrossRef]
  5. W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
    [CrossRef]
  6. F. Domine and P. B. Shepson, Science 297, 1506 (2002).
    [CrossRef] [PubMed]
  7. F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
    [CrossRef]
  8. M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
    [CrossRef]
  9. A. A. Kokhanovsky and E. P. Zege, Appl. Opt. 43, 1589 (2004).
    [CrossRef] [PubMed]
  10. Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
    [CrossRef]
  11. A. A. Kokhanovsky and W. von Hoyningen-Huene, Atmos. Res. 69, 165 (2004).
    [CrossRef]
  12. L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).
  13. S. G. Warren, Appl. Opt. 23, 1206 (1984).
    [CrossRef] [PubMed]
  14. A. A. Kokhanovsky, Cloud Optics (Springer, 2006).
    [CrossRef]

2006 (2)

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

2004 (2)

A. A. Kokhanovsky and W. von Hoyningen-Huene, Atmos. Res. 69, 165 (2004).
[CrossRef]

A. A. Kokhanovsky and E. P. Zege, Appl. Opt. 43, 1589 (2004).
[CrossRef] [PubMed]

2002 (2)

L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).

F. Domine and P. B. Shepson, Science 297, 1506 (2002).
[CrossRef] [PubMed]

2001 (1)

W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
[CrossRef]

2000 (1)

A. W. Nolin and J. Dozier, Remote Sens. Environ. 74, 207 (2000).
[CrossRef]

1999 (1)

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

1997 (1)

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

1993 (2)

A. W. Nolin and J. Dozier, Remote Sens. Environ. 44, 231 (1993).
[CrossRef]

B. Bourdelles and M. Fily, Ann. Glaciol. 17, 86 (1993).

1984 (1)

Bourdelles, B.

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

B. Bourdelles and M. Fily, Ann. Glaciol. 17, 86 (1993).

Cabanes, A.

L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).

Cassacchia, R.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

Chen, B.

W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
[CrossRef]

Dedieu, J. P.

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

Dlugach, J. M.

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

Domine, F.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

F. Domine and P. B. Shepson, Science 297, 1506 (2002).
[CrossRef] [PubMed]

L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).

Dozier, J.

A. W. Nolin and J. Dozier, Remote Sens. Environ. 74, 207 (2000).
[CrossRef]

A. W. Nolin and J. Dozier, Remote Sens. Environ. 44, 231 (1993).
[CrossRef]

Fily, M.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

B. Bourdelles and M. Fily, Ann. Glaciol. 17, 86 (1993).

Gao, B.-C.

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

Kattawar, G. W.

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

Kokhanovsky, A. A.

A. A. Kokhanovsky and W. von Hoyningen-Huene, Atmos. Res. 69, 165 (2004).
[CrossRef]

A. A. Kokhanovsky and E. P. Zege, Appl. Opt. 43, 1589 (2004).
[CrossRef] [PubMed]

A. A. Kokhanovsky, Cloud Optics (Springer, 2006).
[CrossRef]

Legagneux, L.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).

Li, W.

W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
[CrossRef]

Mishchenko, M. I.

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

Nolin, A. W.

A. W. Nolin and J. Dozier, Remote Sens. Environ. 74, 207 (2000).
[CrossRef]

A. W. Nolin and J. Dozier, Remote Sens. Environ. 44, 231 (1993).
[CrossRef]

Salvatori, R.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

Salzano, R.

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

Sergent, C.

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

Shepson, P. B.

F. Domine and P. B. Shepson, Science 297, 1506 (2002).
[CrossRef] [PubMed]

Stamnes, K.

W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
[CrossRef]

von Hoyningen-Huene, W.

A. A. Kokhanovsky and W. von Hoyningen-Huene, Atmos. Res. 69, 165 (2004).
[CrossRef]

Warren, S. G.

Xie, Y.

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

Yang, P.

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

Yanovitskij, E. G.

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

Zakharova, N. T.

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

Zege, E. P.

Ann. Glaciol. (1)

B. Bourdelles and M. Fily, Ann. Glaciol. 17, 86 (1993).

Appl. Opt. (2)

Atmos. Res. (1)

A. A. Kokhanovsky and W. von Hoyningen-Huene, Atmos. Res. 69, 165 (2004).
[CrossRef]

Cold Regions Sci. Technol. (1)

F. Domine, R. Salvatori, L. Legagneux, R. Salzano, M. Fily, and R. Cassacchia, Cold Regions Sci. Technol. 46, 60 (2006).
[CrossRef]

Geophys. Res. Lett. (1)

W. Li, K. Stamnes, and B. Chen, Geophys. Res. Lett. 28, 1699 (2001).
[CrossRef]

J. Geophys. Res. (1)

L. Legagneux, A. Cabanes, and F. Domine, J. Geophys. Res. 104, 31697 (2002).

J. Quant. Spectrosc. Radiat. Transf. (2)

Y. Xie, P. Yang, B.-C. Gao, G. W. Kattawar, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transf. 100, 457 (2006).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, and N. T. Zakharova, J. Quant. Spectrosc. Radiat. Transf. 63, 409 (1999).
[CrossRef]

Remote Sens. Environ. (3)

M. Fily, B. Bourdelles, J. P. Dedieu, and C. Sergent, Remote Sens. Environ. 59, 452 (1997).
[CrossRef]

A. W. Nolin and J. Dozier, Remote Sens. Environ. 44, 231 (1993).
[CrossRef]

A. W. Nolin and J. Dozier, Remote Sens. Environ. 74, 207 (2000).
[CrossRef]

Science (1)

F. Domine and P. B. Shepson, Science 297, 1506 (2002).
[CrossRef] [PubMed]

Other (1)

A. A. Kokhanovsky, Cloud Optics (Springer, 2006).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Dependence of the scaling constant on the effective grain size. Solid lines give theoretical values of f for spheres and fractals. The dashed line corresponds to the value of the scaling constant equal to 9.2.

Fig. 2
Fig. 2

Comparison of measurements (circles) and calculations (dashed curve). Further details are given in the text.

Equations (12)

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

R ( ϑ 0 , ϑ , φ ) = R 0 ( ϑ 0 , ϑ , φ ) exp [ 4 s U ( ϑ 0 , ϑ , φ ) ] ,
s = ( 1 ω 0 ) 3 ( 1 ω 0 g )
U ( ϑ 0 , ϑ , φ ) = u 0 ( ϑ 0 ) u 0 ( ϑ ) R 0 ( ϑ 0 , ϑ , φ )
u 0 ( ϑ 0 ) = 3 7 ( 1 + 2 cos ϑ 0 )
s = 1 4 U ( ϑ 0 , ϑ , φ ) ln { R 0 ( ϑ 0 , ϑ , φ ) R ( ϑ 0 , ϑ , φ ) } ,
ω 0 = 1 2 B γ V Σ ,
s = 2 B γ V 3 ( 1 g ) Σ ,
s = 1 3 f γ d ,
d = 9 s 2 γ f ,
f = 9 s 2 γ d ,
f = 9 16 γ d U 2 ( ϑ 0 , ϑ , φ ) ln 2 [ R 0 ( ϑ 0 , ϑ , φ ) R ( ϑ 0 , ϑ , φ ) ] ,
s = γ d .

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