Abstract

We report the results of high-accuracy controlled laboratory measurements of the Stokes reflection matrix for suspensions of submicrometer-sized latex particles in water and compare them with the results of a numerically exact computer solution of the vector radiative transfer equation (VRTE). The quantitative performance of the VRTE is monitored by increasing the volume packing density of the latex particles from 2% to 10%. Our results indicate that the VRTE can be applied safely to random particulate media with packing densities up to 2%. VRTE results for packing densities of the order of 5% should be taken with caution, whereas the polarized bidirectional reflectivity of suspensions with larger packing densities cannot be accurately predicted. We demonstrate that a simple modification of the phase matrix entering the VRTE based on the so-called static structure factor can be a promising remedy that deserves further examination.

© 2013 USG

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References

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  1. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge, 2006), http://www.giss.nasa.gov/staff/mmishchenko/books.html .
  2. M. I. Mishchenko, Opt. Express 18, 19770 (2010).
    [CrossRef]
  3. M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
    [CrossRef]
  4. F. Voit, J. Schäfer, and A. Kienle, Opt. Lett. 34, 2593 (2009).
    [CrossRef]
  5. J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
    [CrossRef]
  6. K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
    [CrossRef]
  7. D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 123, 103 (2013).
    [CrossRef]
  8. M. J. Raković, G. W. Kattawar, M. Mehrűbeoğlu, B. D. Cameron, L. V. Wang, S. Rastegar, and G. L. Coté, Appl. Opt. 38, 3399 (1999).
    [CrossRef]
  9. N. Riviere, R. Ceolato, and L. Hespel, “Polarimetric and angular light scattering from dense media: comparison of a vectorial radiative transfer model with analytical, stochastic and experimental approaches,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
    [CrossRef]
  10. D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
    [CrossRef]
  11. J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres (Kluwer, 2004).
  12. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).
  13. J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
    [CrossRef]
  14. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002), http://www.giss.nasa.gov/staff/mmishchenko/books.html .
  15. P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).
  16. M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 52, 95 (1994).
    [CrossRef]
  17. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, 1975).
  18. V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
    [CrossRef]
  19. G. L. Stephens, Remote Sensing of the Lower Atmosphere (Oxford University, 1994).
  20. K. N. Liou, An Introduction to Atmospheric Radiation (Academic, 2002).
  21. V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, 2006).
  22. M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.
  23. J. R. Howell, R. Siegel, and M. P. Mengüç, Thermal Radiation Heat Transfer (CRC Press, 2011).
  24. M. Wendisch and P. Yang, Theory of Atmospheric Radiative Transfer (Wiley, 2012).
  25. M. Modest, Radiative Heat Transfer (Academic, 2013).

2013 (1)

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 123, 103 (2013).
[CrossRef]

2012 (2)

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

2011 (2)

V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
[CrossRef]

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

2010 (1)

2009 (1)

2007 (1)

1999 (1)

1994 (1)

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 52, 95 (1994).
[CrossRef]

1989 (1)

D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
[CrossRef]

1988 (1)

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

Akkermans, E.

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

Balescu, R.

R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, 1975).

Belskaya, I. N.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Cairns, B.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
[CrossRef]

Cameron, B. D.

Ceolato, R.

N. Riviere, R. Ceolato, and L. Hespel, “Polarimetric and angular light scattering from dense media: comparison of a vectorial radiative transfer model with analytical, stochastic and experimental approaches,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
[CrossRef]

Chenault, D. B.

D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
[CrossRef]

Chipman, R. A.

D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
[CrossRef]

Chowdhary, J.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Coté, G. L.

Dlugach, J. M.

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

Domke, H.

J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres (Kluwer, 2004).

Efimov, Y. S.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Goldstein, D. H.

D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
[CrossRef]

Hespel, L.

N. Riviere, R. Ceolato, and L. Hespel, “Polarimetric and angular light scattering from dense media: comparison of a vectorial radiative transfer model with analytical, stochastic and experimental approaches,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
[CrossRef]

Hovenier, J. W.

J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres (Kluwer, 2004).

Howell, J. R.

J. R. Howell, R. Siegel, and M. P. Mengüç, Thermal Radiation Heat Transfer (CRC Press, 2011).

Kattawar, G. W.

Kaydash, V. G.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Kienle, A.

Kiselev, N. N.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Knobelspiesse, K.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Kong, J. A.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Lacis, A. A.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge, 2006), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

Liou, K. N.

K. N. Liou, An Introduction to Atmospheric Radiation (Academic, 2002).

Liu, L.

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
[CrossRef]

Lupishko, D. F.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Mackowski, D. W.

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 123, 103 (2013).
[CrossRef]

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
[CrossRef]

Maret, G.

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

Maynard, R.

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

Mehrubeoglu, M.

Mengüç, M. P.

J. R. Howell, R. Siegel, and M. P. Mengüç, Thermal Radiation Heat Transfer (CRC Press, 2011).

Mishchenko, M.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Mishchenko, M. I.

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 123, 103 (2013).
[CrossRef]

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
[CrossRef]

M. I. Mishchenko, Opt. Express 18, 19770 (2010).
[CrossRef]

M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
[CrossRef]

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 52, 95 (1994).
[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge, 2006), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

Modest, M.

M. Modest, Radiative Heat Transfer (Academic, 2013).

Muinonen, K.

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

Ottaviani, M.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Penttilä, A.

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

Petrova, E. V.

V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
[CrossRef]

Rakovic, M. J.

Rastegar, S.

Redemann, J.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Riviere, N.

N. Riviere, R. Ceolato, and L. Hespel, “Polarimetric and angular light scattering from dense media: comparison of a vectorial radiative transfer model with analytical, stochastic and experimental approaches,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
[CrossRef]

Rosenbush, V. K.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Schäfer, J.

Shakhovskoy, N. M.

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Shin, R. T.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Siegel, R.

J. R. Howell, R. Siegel, and M. P. Mengüç, Thermal Radiation Heat Transfer (CRC Press, 2011).

Stephens, G. L.

G. L. Stephens, Remote Sensing of the Lower Atmosphere (Oxford University, 1994).

Tishkovets, V. P.

V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
[CrossRef]

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

Travis, L.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Travis, L. D.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge, 2006), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

Tsang, L.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Tuchin, V. V.

V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, 2006).

van der Mee, C.

J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres (Kluwer, 2004).

Videen, G.

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
[CrossRef]

Voit, F.

Wang, L. V.

M. J. Raković, G. W. Kattawar, M. Mehrűbeoğlu, B. D. Cameron, L. V. Wang, S. Rastegar, and G. L. Coté, Appl. Opt. 38, 3399 (1999).
[CrossRef]

V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, 2006).

Waquet, F.

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Wendisch, M.

M. Wendisch and P. Yang, Theory of Atmospheric Radiative Transfer (Wiley, 2012).

Wolf, P. E.

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

Yang, P.

M. Wendisch and P. Yang, Theory of Atmospheric Radiative Transfer (Wiley, 2012).

Zimnyakov, D. A.

V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, 2006).

Zubko, E.

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

Appl. Opt. (1)

Astrophys. J. (1)

K. Muinonen, M. I. Mishchenko, J. M. Dlugach, E. Zubko, A. Penttilä, and G. Videen, Astrophys. J. 760, 118 (2012).
[CrossRef]

J. Phys. France (1)

P. E. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. France 49, 63 (1988).

J. Quant. Spectrosc. Radiat. Transfer (4)

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 52, 95 (1994).
[CrossRef]

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 123, 103 (2013).
[CrossRef]

J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
[CrossRef]

V. P. Tishkovets, E. V. Petrova, and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2095 (2011).
[CrossRef]

Opt. Eng. (1)

D. H. Goldstein, R. A. Chipman, and D. B. Chenault, Opt. Eng. 28, 282120 (1989).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Remote Sens. Environ. (1)

J. Chowdhary, B. Cairns, F. Waquet, K. Knobelspiesse, M. Ottaviani, J. Redemann, L. Travis, and M. Mishchenko, Remote Sens. Environ. 118, 284 (2012).
[CrossRef]

Other (13)

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University, 2002), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres (Kluwer, 2004).

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, 1975).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge, 2006), http://www.giss.nasa.gov/staff/mmishchenko/books.html .

N. Riviere, R. Ceolato, and L. Hespel, “Polarimetric and angular light scattering from dense media: comparison of a vectorial radiative transfer model with analytical, stochastic and experimental approaches,” J. Quant. Spectrosc. Radiat. Transfer (to be published).
[CrossRef]

G. L. Stephens, Remote Sensing of the Lower Atmosphere (Oxford University, 1994).

K. N. Liou, An Introduction to Atmospheric Radiation (Academic, 2002).

V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarization in Biomedical Applications (Springer, 2006).

M. I. Mishchenko, V. K. Rosenbush, N. N. Kiselev, D. F. Lupishko, V. P. Tishkovets, V. G. Kaydash, I. N. Belskaya, Y. S. Efimov, and N. M. Shakhovskoy, Polarimetric Remote Sensing of Solar System Objects (Akademperiodyka, 2010), arXiv:1010.1171.

J. R. Howell, R. Siegel, and M. P. Mengüç, Thermal Radiation Heat Transfer (CRC Press, 2011).

M. Wendisch and P. Yang, Theory of Atmospheric Radiative Transfer (Wiley, 2012).

M. Modest, Radiative Heat Transfer (Academic, 2013).

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Figures (2)

Fig. 1.
Fig. 1.

Scattering geometry.

Fig. 2.
Fig. 2.

Measurements (filled circles), RTT computations (dashed curves), and RTT+SSF computations (solid curves) of the ratios of the elements of the Stokes reflection matrix R for aqueous suspensions of latex particles with packing densities ρ = 2 % (red color), 5% (yellow color), and 10% (blue color). The two gray curves show the best fit of RTT + SSF theoretical results for ρ = 15 % to the laboratory data for ρ = 10 % . The inset is a photograph of the scattering sample in which the red dot shows the size and approximate location of the area sampled by the receiving optics.

Metrics