Abstract

We develop a second-order ray-tracing model that includes the constructive interference of reciprocal rays and Fresnel reflections from an inverse gamma-type distribution function of path length to predict the negative polarization branch seen in some astronomical bodies. We expect that such a path-length distribution might resemble the path lengths undertaken by rays incident upon some astronomical bodies. The resulting negative polarization is largely wavelength independent and depends primarily on the power law in the path-length distribution, which coincides with some observations.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.
  2. V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
    [CrossRef]
  3. V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
    [CrossRef]
  4. V. D. Ozrin, “Exact solution for the coherent backscattering of polarized light from a random medium of Rayleigh scatterers,” Waves Random Media 2, 141–164 (1992).
    [CrossRef]
  5. M. I. Mishchenko, “Polarization effects in weak localization of light: calculation of the copolarized and depolarized backscattering enhancement factors,” Phys. Rev. B 44, 12579–12600 (1991).
    [CrossRef]
  6. M. I. Mishchenko, “Enhanced backscattering of polarized light from discrete random media,” J. Opt. Soc. Am. A 9, 978–982 (1992).
    [CrossRef]
  7. M. I. Mishchenko, J.-M. Luck, T. M. Nieuwenhuizen, “Full angular profile of the coherent polarization opposition effect,” J. Opt. Soc. Am. A 17, 888–891 (2000).
    [CrossRef]
  8. M. Mishchenko, V. Tishkovets, P. Litvinov, “Exact results of the vector theory of coherent backscattering from discrete random media: an overview,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 239–260.
    [CrossRef]
  9. I. V. Lindell, A. H. Sihvola, K. O. Muinonen, P. W. Barber, “Scattering by a small object close to an interface. I. Exact-image theory formulation,” J. Opt. Soc. Am. A 8, 472–476 (1991).
    [CrossRef]
  10. K. O. Muinonen, A. H. Sihvola, I. V. Lindell, K. A. Lumme, “Scattering by a small object close to an interface. II. Study of backscattering,” J. Opt. Soc. Am. A 8, 477–482 (1991).
    [CrossRef]
  11. K. Muinonen, “Coherent backscattering by solar system dust particles,” in Asteroids, Comets and Meteors, A. Milani, M. Di Martino, A. Cellino, eds. (Kluwer, Dordrecht, The Netherlands, 1974), pp. 271–296.
  12. Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
    [CrossRef]
  13. K. Muinonen, “Coherent backscattering by absorbing and scattering media,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 223–226.
  14. G. Videen, “The negative polarization branch and second-order ray tracing,” Appl. Opt. 41, 5115–5121 (2002).
    [CrossRef] [PubMed]
  15. G. Videen, “Polarization opposition effect and second-order ray-tracing: cloud of dipoles,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1103–1109 (2003).
    [CrossRef]
  16. K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
    [CrossRef]
  17. K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.
  18. Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
    [CrossRef]
  19. Yu. G. Shkuratov, A. Ovcharenko, “Experimental modeling of opposition effect and negative polarization of regolith-like samples,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002).
    [CrossRef]
  20. E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
    [CrossRef]
  21. H. Kimura, “Light-scattering properties of fractal aggregates: numerical calculations by a superposition technique and the discrete-dipole approximation,” J. Quant. Spectrosc. Rad. Transfer 70, 581–594 (2001).
    [CrossRef]
  22. H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
    [CrossRef]
  23. O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
    [CrossRef]
  24. A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).
  25. L. Kolokolova, L. Lara, “Color of an ensemble of particles with a wide power-law size distribution,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 175–178.
  26. K. Lumme, A. Penttilä, “Light scattering by cometary dust: a review of the codes, constraints and results,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 195–198.

2003 (1)

G. Videen, “Polarization opposition effect and second-order ray-tracing: cloud of dipoles,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1103–1109 (2003).
[CrossRef]

2002 (2)

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

G. Videen, “The negative polarization branch and second-order ray tracing,” Appl. Opt. 41, 5115–5121 (2002).
[CrossRef] [PubMed]

2001 (3)

H. Kimura, “Light-scattering properties of fractal aggregates: numerical calculations by a superposition technique and the discrete-dipole approximation,” J. Quant. Spectrosc. Rad. Transfer 70, 581–594 (2001).
[CrossRef]

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

2000 (2)

E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
[CrossRef]

M. I. Mishchenko, J.-M. Luck, T. M. Nieuwenhuizen, “Full angular profile of the coherent polarization opposition effect,” J. Opt. Soc. Am. A 17, 888–891 (2000).
[CrossRef]

1999 (1)

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

1997 (1)

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

1996 (1)

A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).

1992 (2)

V. D. Ozrin, “Exact solution for the coherent backscattering of polarized light from a random medium of Rayleigh scatterers,” Waves Random Media 2, 141–164 (1992).
[CrossRef]

M. I. Mishchenko, “Enhanced backscattering of polarized light from discrete random media,” J. Opt. Soc. Am. A 9, 978–982 (1992).
[CrossRef]

1991 (3)

Arnold, G.

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

Avramchuk, V.

V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
[CrossRef]

Avramchuk, V. V.

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Barber, P. W.

Clark, B. E.

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

de Haan, J. F.

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

Efimov, Yu. S.

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Hadamcik, E.

A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).

Helfenstein, P.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Hovenier, J. W.

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

Jocker, K.

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Jockers, K.

E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
[CrossRef]

Kaasalainen, S.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Kaydash, V.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Kimura, H.

H. Kimura, “Light-scattering properties of fractal aggregates: numerical calculations by a superposition technique and the discrete-dipole approximation,” J. Quant. Spectrosc. Rad. Transfer 70, 581–594 (2001).
[CrossRef]

Kiselev, N.

V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
[CrossRef]

Kiselev, N. N.

E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
[CrossRef]

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Kolokolova, L.

L. Kolokolova, L. Lara, “Color of an ensemble of particles with a wide power-law size distribution,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 175–178.

Kreslavsky, M.

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

Lara, L.

L. Kolokolova, L. Lara, “Color of an ensemble of particles with a wide power-law size distribution,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 175–178.

Levasseur-Regourd, A. C.

A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).

Lindell, I. V.

Litvinov, P.

M. Mishchenko, V. Tishkovets, P. Litvinov, “Exact results of the vector theory of coherent backscattering from discrete random media: an overview,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 239–260.
[CrossRef]

Luck, J.-M.

Lumme, K.

K. Lumme, A. Penttilä, “Light scattering by cometary dust: a review of the codes, constraints and results,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 195–198.

Lumme, K. A.

Miloslavskaya, O.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Mishchenko, M.

M. Mishchenko, V. Tishkovets, P. Litvinov, “Exact results of the vector theory of coherent backscattering from discrete random media: an overview,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 239–260.
[CrossRef]

V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
[CrossRef]

Mishchenko, M. I.

M. I. Mishchenko, J.-M. Luck, T. M. Nieuwenhuizen, “Full angular profile of the coherent polarization opposition effect,” J. Opt. Soc. Am. A 17, 888–891 (2000).
[CrossRef]

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

M. I. Mishchenko, “Enhanced backscattering of polarized light from discrete random media,” J. Opt. Soc. Am. A 9, 978–982 (1992).
[CrossRef]

M. I. Mishchenko, “Polarization effects in weak localization of light: calculation of the copolarized and depolarized backscattering enhancement factors,” Phys. Rev. B 44, 12579–12600 (1991).
[CrossRef]

Muinonen, K.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

K. Muinonen, “Coherent backscattering by absorbing and scattering media,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 223–226.

K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
[CrossRef]

K. Muinonen, “Coherent backscattering by solar system dust particles,” in Asteroids, Comets and Meteors, A. Milani, M. Di Martino, A. Cellino, eds. (Kluwer, Dordrecht, The Netherlands, 1974), pp. 271–296.

Muinonen, K. O.

Muñoz, O.

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

Nelson, R.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Nieuwenhuizen, T. M.

Omelchenko, V.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Ovcharenko, A.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

Yu. G. Shkuratov, A. Ovcharenko, “Experimental modeling of opposition effect and negative polarization of regolith-like samples,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002).
[CrossRef]

Ozrin, V. D.

V. D. Ozrin, “Exact solution for the coherent backscattering of polarized light from a random medium of Rayleigh scatterers,” Waves Random Media 2, 141–164 (1992).
[CrossRef]

Penttilä, A.

K. Lumme, A. Penttilä, “Light scattering by cometary dust: a review of the codes, constraints and results,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 195–198.

Petrova, E. V.

E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
[CrossRef]

Pieters, C.

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

Piironen, J.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

Renard, J. B.

A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).

Rol, E.

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

Rosenbush, A. E.

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

Rosenbush, V.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Rosenbush, V. K.

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
[CrossRef]

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Shakhovskoj, N. M.

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

Shkuratov, Yu.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
[CrossRef]

Shkuratov, Yu. G.

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

Yu. G. Shkuratov, A. Ovcharenko, “Experimental modeling of opposition effect and negative polarization of regolith-like samples,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002).
[CrossRef]

Sihvola, A. H.

Smythe, W.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Stankevich, D.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

Tishkovets, V.

M. Mishchenko, V. Tishkovets, P. Litvinov, “Exact results of the vector theory of coherent backscattering from discrete random media: an overview,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 239–260.
[CrossRef]

Vassen, W.

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

Videen, G.

G. Videen, “Polarization opposition effect and second-order ray-tracing: cloud of dipoles,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1103–1109 (2003).
[CrossRef]

G. Videen, “The negative polarization branch and second-order ray tracing,” Appl. Opt. 41, 5115–5121 (2002).
[CrossRef] [PubMed]

K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
[CrossRef]

Volten, H.

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

Zubko, E.

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
[CrossRef]

Appl. Opt. (1)

Astron. Astrophys. (1)

A. C. Levasseur-Regourd, E. Hadamcik, J. B. Renard, “Evidence for two classes of comets from their polarimetric properties at large phase angles,” Astron. Astrophys. 313, 327–333 (1996).

Astrophys. J. (1)

V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, M. I. Mishchenko, “Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis,” Astrophys. J. 487, 402–414 (1997).
[CrossRef]

Icarus (3)

Yu. Shkuratov, M. Kreslavsky, A. Ovcharenko, D. Stankevich, E. Zubko, C. Pieters, G. Arnold, “Opposition effect from Clementine data and mechanisms of backscatter,” Icarus 141, 132–155 (1999).
[CrossRef]

Yu. Shkuratov, A. Ovcharenko, E. Zubko, V. Kaydash, D. Stankevich, V. Omelchenko, O. Miloslavskaya, K. Muinonen, J. Piironen, S. Kaasalainen, R. Nelson, W. Smythe, V. Rosenbush, P. Helfenstein, “The opposition effect and negative polarization of structural analogs of planetary regoliths,” Icarus 159, 396–416 (2002).
[CrossRef]

E. V. Petrova, K. Jockers, N. N. Kiselev, “Light scattering by aggregates with sizes comparable to the wavelength: an application to cometary dust,” Icarus 148, 526–536 (2000).
[CrossRef]

J. Geophys. Res. D (2)

H. Volten, O. Muñoz, E. Rol, J. F. de Haan, W. Vassen, J. W. Hovenier, “Scattering matrices of mineral aerosol particles at 441.6 nm and 632.8 nm,” J. Geophys. Res. D 106, 17375–17401 (2001).
[CrossRef]

O. Muñoz, H. Volten, J. F. de Haan, W. Vassen, J. W. Hovenier, “Experimental determination of scattering matrices of randomly oriented fly ash and clay particles at 442 and 633 nm,” J. Geophys. Res. D 106, 22833–22844 (2001).
[CrossRef]

J. Opt. Soc. Am. A (4)

J. Quant. Spectrosc. Rad. Transfer (1)

H. Kimura, “Light-scattering properties of fractal aggregates: numerical calculations by a superposition technique and the discrete-dipole approximation,” J. Quant. Spectrosc. Rad. Transfer 70, 581–594 (2001).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (1)

G. Videen, “Polarization opposition effect and second-order ray-tracing: cloud of dipoles,” J. Quant. Spectrosc. Radiat. Transfer 79–80, 1103–1109 (2003).
[CrossRef]

Phys. Rev. B (1)

M. I. Mishchenko, “Polarization effects in weak localization of light: calculation of the copolarized and depolarized backscattering enhancement factors,” Phys. Rev. B 44, 12579–12600 (1991).
[CrossRef]

Waves Random Media (1)

V. D. Ozrin, “Exact solution for the coherent backscattering of polarized light from a random medium of Rayleigh scatterers,” Waves Random Media 2, 141–164 (1992).
[CrossRef]

Other (10)

V. K. Rosenbush, N. N. Kiselev, V. V. Avramchuk, K. Jocker, N. M. Shakhovskoj, Yu. S. Efimov, “Coherent effects in light scattering from atmosphereless solar system bodies,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 279–282.

V. K. Rosenbush, N. Kiselev, V. Avramchuk, M. Mishchenko, “Photometric and polarimetric opposition phenomena exhibited by solar system bodies,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 191–224.
[CrossRef]

K. Muinonen, “Coherent backscattering by solar system dust particles,” in Asteroids, Comets and Meteors, A. Milani, M. Di Martino, A. Cellino, eds. (Kluwer, Dordrecht, The Netherlands, 1974), pp. 271–296.

M. Mishchenko, V. Tishkovets, P. Litvinov, “Exact results of the vector theory of coherent backscattering from discrete random media: an overview,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 239–260.
[CrossRef]

K. Muinonen, G. Videen, E. Zubko, Yu. Shkuratov, “Numerical techniques for backscattering by random media,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002), pp. 261–282.
[CrossRef]

K. Muinonen, J. Piironen, Yu. G. Shkuratov, A. Ovcharenko, B. E. Clark, “Asteroid photometric and polarimetric phase effects,” in Asteroids III, W. Bottke, R. P. Binzel, A. Cellino, P. Paolicchi, eds. (University of Arizona, Tucson, Ariz., 2002), pp. 123–138.

Yu. G. Shkuratov, A. Ovcharenko, “Experimental modeling of opposition effect and negative polarization of regolith-like samples,” in Optics of Cosmic Dust, G. Videen, M. Kocifaj, eds. (Kluwer Academic, Dordrecht, The Netherlands, 2002).
[CrossRef]

K. Muinonen, “Coherent backscattering by absorbing and scattering media,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 223–226.

L. Kolokolova, L. Lara, “Color of an ensemble of particles with a wide power-law size distribution,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 175–178.

K. Lumme, A. Penttilä, “Light scattering by cometary dust: a review of the codes, constraints and results,” in Light Scattering by Nonspherical Particles, B. Gustafson, L. Kolokolova, G. Videen, eds. (U.S. Army Research Laboratory, Adelphi, Md., 2002), pp. 195–198.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Geometry of the scattering system. Light from the source strikes surface 1 at incident angle α01 and travels a distance kr, striking surface 2 at incident angle α12, and then continues to the observer.

Fig. 2
Fig. 2

Backscatter polarization defined as minus the ratio of the second Stokes parameter Q to the first, total intensity, Stokes parameter I calculated for three different wavelengths λ for a 0 = 0.5 μm, a 1 = 3.0. Minima are located at γmin (λ = 0.5 μm) = 8°, γmin (λ = 1.0 μm) = 10°, and γmin (λ = 2.0 μm) = 11°.

Fig. 3
Fig. 3

Backscatter polarization defined as minus the ratio of the second Stokes parameter Q to the first, total intensity, Stokes parameter I calculated for different parameters a 1 for λ = 0.5 μm and a 0 = 0.5 μm. Minima are located at γmin (a 1 = 2.5) = 5°, γmin (a 1 = 3.0) = 8°, and γmin (a 1 = 3.5) = 13°.

Fig. 4
Fig. 4

Backscatter polarization defined as minus the ratio of the second Stokes parameter Q to the first, total intensity, Stokes parameter I calculated for three different wavelengths λ for a 0 = 0.5 μm, a 1 = 3.0, and β = 0.001 μm-1. Minima are located at γmin (λ = 0.5 μm) = 0.2° and 6°, γmin (λ = 1.0 μm) = 0.4° and 7°, and γmin (λ = 2.0 μm) = 0.9° and 6°.

Equations (11)

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

nrexp-a0/rr-a1.
rn=Γa1-1-na0a1-1-n.
IsIp Es*EsEp*Ep1+cos ΦPr cos α12×cos α01 sin α12drdα12dϕ,
EsEpcos ϕsin ϕ-sin ϕcos ϕrsα1200rpα12 ×cos θ12sin θ12-sin θ12cos θ12rsα01E0rpα01E0,
Φ=kr-cos 2α12+sin γ sin 2α12 cos ϕ+cos γ cos 2α12 =αr,
Qrλ=83kr4Rem2-1m2+22,
Qrλ=2.
Q=QrλQrλQrλ+Qrλ.
tan θmin=1.22 λ2r,
E=r2r2+rGO2.
Pr=QE exp-a0/rr-a1.

Metrics