Abstract

The numerically exact superposition T-matrix method is used to compute, for the first time to our knowledge, electromagnetic scattering by finite spherical volumes composed of polydisperse mixtures of spherical particles with different size parameters or different refractive indices. The backscattering patterns calculated in the far-field zone of the polydisperse multiparticle volumes reveal unequivocally the classical manifestations of the effect of weak localization of electromagnetic waves in discrete random media, thereby corroborating the universal interference nature of coherent backscattering. The polarization opposition effect is shown to be the least robust manifestation of weak localization fading away with increasing particle size parameter.

© 2011 Optical Society of America

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  1. Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
    [CrossRef]
  2. L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics (Wiley, 2001).
  3. B.A.van Tiggelen and S.E.Skipetrov, eds., Wave Scattering in Complex Media: From Theory to Applications (Springer, 2003).
    [CrossRef]
  4. 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).
  5. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge U. Press, 2006).
  6. M. I. Mishchenko, L. Liu, D. W. Mackowski, B. Cairns, and G. Videen, Opt. Express 15, 2822 (2007).
    [CrossRef] [PubMed]
  7. M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
    [CrossRef]
  8. Y. Okada and A. A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transfer 110, 902 (2009).
    [CrossRef]
  9. D. W. Mackowski and M. I. Mishchenko, Phys. Rev. A 83, 013804 (2011).
    [CrossRef]
  10. K. Lumme and A. Panttilä, J. Quant. Spectrosc. Radiat. Transfer 112, 1658 (2011).
    [CrossRef]
  11. J. M. Dlugach, M. I. Mishchenko, L. Liu, and D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 112, 2068 (2011).
    [CrossRef]
  12. D. W. Mackowski and M. I. Mishchenko, J. Opt. Soc. Am. A 13, 2266 (1996).
    [CrossRef]
  13. D. Mackowski, K. Fuller, and M. Mishchenko, ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.
  14. D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2182 (2011).
    [CrossRef]
  15. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002).
  16. D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 100, 237 (2006).
    [CrossRef]
  17. M. I. Mishchenko, J.-M. Luck, and T. M. Nieuwenhiuzen, J. Opt. Soc. Am. A 17, 888 (2000).
    [CrossRef]
  18. K. Muinonen, Waves Random Media 14, 365 (2004).
    [CrossRef]
  19. M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
    [CrossRef]

2011 (4)

D. W. Mackowski and M. I. Mishchenko, Phys. Rev. A 83, 013804 (2011).
[CrossRef]

K. Lumme and A. Panttilä, J. Quant. Spectrosc. Radiat. Transfer 112, 1658 (2011).
[CrossRef]

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

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2182 (2011).
[CrossRef]

2009 (3)

M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
[CrossRef]

Y. Okada and A. A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transfer 110, 902 (2009).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

2007 (1)

2006 (1)

D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 100, 237 (2006).
[CrossRef]

2004 (1)

K. Muinonen, Waves Random Media 14, 365 (2004).
[CrossRef]

2000 (1)

1996 (1)

Barabanenkov, Yu. N.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
[CrossRef]

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).

Cairns, B.

Dlugach, J. M.

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

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
[CrossRef]

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).

Fuller, K.

D. Mackowski, K. Fuller, and M. Mishchenko, ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.

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).

Kiselev, N. N.

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[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).

Kokhanovsky, A. A.

Y. Okada and A. A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transfer 110, 902 (2009).
[CrossRef]

Kong, J. A.

L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics (Wiley, 2001).

Kravtsov, Yu. A.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
[CrossRef]

Lacis, A. A.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge U. Press, 2006).

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, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
[CrossRef]

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

Luck, J.-M.

Lumme, K.

K. Lumme and A. Panttilä, J. Quant. Spectrosc. Radiat. Transfer 112, 1658 (2011).
[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).

Mackowski, D.

D. Mackowski, K. Fuller, and M. Mishchenko, ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.

Mackowski, D. W.

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2182 (2011).
[CrossRef]

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

D. W. Mackowski and M. I. Mishchenko, Phys. Rev. A 83, 013804 (2011).
[CrossRef]

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

D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 100, 237 (2006).
[CrossRef]

D. W. Mackowski and M. I. Mishchenko, J. Opt. Soc. Am. A 13, 2266 (1996).
[CrossRef]

Mishchenko, M.

D. Mackowski, K. Fuller, and M. Mishchenko, ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.

Mishchenko, M. I.

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2182 (2011).
[CrossRef]

D. W. Mackowski and M. I. Mishchenko, Phys. Rev. A 83, 013804 (2011).
[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, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
[CrossRef]

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

M. I. Mishchenko, J.-M. Luck, and T. M. Nieuwenhiuzen, J. Opt. Soc. Am. A 17, 888 (2000).
[CrossRef]

D. W. Mackowski and M. I. Mishchenko, J. Opt. Soc. Am. A 13, 2266 (1996).
[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge U. Press, 2006).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002).

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).

Muinonen, K.

K. Muinonen, Waves Random Media 14, 365 (2004).
[CrossRef]

Nieuwenhiuzen, T. M.

Okada, Y.

Y. Okada and A. A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transfer 110, 902 (2009).
[CrossRef]

Ozrin, V. D.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
[CrossRef]

Panttilä, A.

K. Lumme and A. Panttilä, J. Quant. Spectrosc. Radiat. Transfer 112, 1658 (2011).
[CrossRef]

Rosenbush, V. K.

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[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).

Saichev, A. I.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
[CrossRef]

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).

Shkuratov, Yu. G.

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

Tishkovets, V. P.

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).

Travis, L. D.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge U. Press, 2006).

Tsang, L.

L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics (Wiley, 2001).

Videen, G.

Astrophys. J. (1)

M. I. Mishchenko, J. M. Dlugach, L. Liu, V. K. Rosenbush, N. N. Kiselev, and Yu. G. Shkuratov, Astrophys. J. 705, L118(2009).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. Quant. Spectrosc. Radiat. Transfer (5)

D. W. Mackowski and M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 112, 2182 (2011).
[CrossRef]

D. W. Mackowski, J. Quant. Spectrosc. Radiat. Transfer 100, 237 (2006).
[CrossRef]

Y. Okada and A. A. Kokhanovsky, J. Quant. Spectrosc. Radiat. Transfer 110, 902 (2009).
[CrossRef]

K. Lumme and A. Panttilä, J. Quant. Spectrosc. Radiat. Transfer 112, 1658 (2011).
[CrossRef]

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

Opt. Express (1)

Phys. Rev. A (2)

D. W. Mackowski and M. I. Mishchenko, Phys. Rev. A 83, 013804 (2011).
[CrossRef]

M. I. Mishchenko, J. M. Dlugach, and L. Liu, Phys. Rev. A 80, 053824 (2009).
[CrossRef]

Waves Random Media (1)

K. Muinonen, Waves Random Media 14, 365 (2004).
[CrossRef]

Other (7)

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, 2002).

D. Mackowski, K. Fuller, and M. Mishchenko, ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, and A. I. Saichev, in Progress in Optics, E.Wolf, ed. (1991), Vol.  29, pp. 65–197.
[CrossRef]

L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics (Wiley, 2001).

B.A.van Tiggelen and S.E.Skipetrov, eds., Wave Scattering in Complex Media: From Theory to Applications (Springer, 2003).
[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).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles (Cambridge U. Press, 2006).

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Figures (2)

Fig. 1
Fig. 1

Electromagnetic scattering by a spherical volume of discrete random medium.

Fig. 2
Fig. 2

Ratios of the elements of the Stokes scattering matrix. The left- and right-hand parts of the color legend in Fig. 2d apply to the plots in Figs. 2a, 2b, respectively.

Equations (1)

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

[ I sca Q sca U sca V sca ] [ a 1 ( Θ ) b 1 ( Θ ) 0 0 b 1 ( Θ ) a 2 ( Θ ) 0 0 0 0 a 3 ( Θ ) b 2 ( Θ ) 0 0 b 2 ( Θ ) a 4 ( Θ ) ] [ I inc Q inc U inc V inc ] .

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