Abstract

Rigorous numerical solutions of Maxwell’s equations are used to show, for what is believed to be the first time, that simple scattering systems composed of two interacting wavelength-sized spheres exhibit a coherent backscattering effect analogous to that observed previously for optically thick discrete random media comprising large numbers of scatterers.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
    [CrossRef]
  2. B. Hapke, Icarus 88, 407 (1990); S. J. Ostro, Rev. Mod. Phys. 65, 1235 (1993); M. I. Mishchenko, J. M. Dlugach, Planet. Space Sci. 41, 173 (1993); K. Muinonen, in Asteroids, Comets, Meteors 1993, Proceedings of the 160th Symposium of the International Astronomical Union (Kluwer, Dordrecht, The Netherlands, 1994), p. 271.
    [CrossRef]
  3. K. Muinonen, “Light scattering by inhomogeneous media: backward enhancement and reversal of linear polarization,” Ph.D. dissertation (University of Helsinki, Helsinki, Finland, 1990).
  4. F. M. Ismagilov, Yu. A. Kravtsov, Waves Random Med. 3, 17 (1993).
    [CrossRef]
  5. M. I. Mishchenko, D. W. Mackowski, Opt. Lett. 19, 1604 (1994). Note that the second sentence of the last paragraph on page 1605 should read as follows: “The index of refraction of the spheres is 1.5 + 0.02i and the size parameter of each sphere is 15.874.”
    [CrossRef] [PubMed]
  6. The interference forward-scattering peak should not be confused with the forward-scattering peak produced by the diffraction of light on the particle cross section if particle size is comparable with or larger than a wavelength.
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  8. F. M. Ismagilov, Yu. A. Kravtsov, Phys. Lett. A 188, 91 (1994).
    [CrossRef]
  9. V. P. Tishkovets, Kinem. Fiz. Nebes. Tel 10(2), 58–63 (1994).
  10. K. A. Fuller, G. W. Kattawar, R. T. Wang, Appl. Opt. 25, 2521 (1986).
    [CrossRef] [PubMed]
  11. M. I. Mishchenko, D. W. Mackowski, L. D. Travis, Appl. Opt. 34, 4589 (1995).
    [CrossRef] [PubMed]
  12. J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
    [CrossRef]
  13. M. I. Mishchenko, J. Opt. Soc. Am. A 9, 978 (1992).
    [CrossRef]
  14. M. I. Mishchenko, Astrophys. J. 411, 351 (1993).
    [CrossRef]
  15. M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
    [CrossRef]

1995 (1)

1994 (3)

1993 (2)

F. M. Ismagilov, Yu. A. Kravtsov, Waves Random Med. 3, 17 (1993).
[CrossRef]

M. I. Mishchenko, Astrophys. J. 411, 351 (1993).
[CrossRef]

1992 (1)

1990 (1)

B. Hapke, Icarus 88, 407 (1990); S. J. Ostro, Rev. Mod. Phys. 65, 1235 (1993); M. I. Mishchenko, J. M. Dlugach, Planet. Space Sci. 41, 173 (1993); K. Muinonen, in Asteroids, Comets, Meteors 1993, Proceedings of the 160th Symposium of the International Astronomical Union (Kluwer, Dordrecht, The Netherlands, 1994), p. 271.
[CrossRef]

1988 (1)

M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
[CrossRef]

1986 (1)

1974 (1)

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

Barabanenkov, Yu. N.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
[CrossRef]

Fuller, K. A.

Hansen, J. E.

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

Hapke, B.

B. Hapke, Icarus 88, 407 (1990); S. J. Ostro, Rev. Mod. Phys. 65, 1235 (1993); M. I. Mishchenko, J. M. Dlugach, Planet. Space Sci. 41, 173 (1993); K. Muinonen, in Asteroids, Comets, Meteors 1993, Proceedings of the 160th Symposium of the International Astronomical Union (Kluwer, Dordrecht, The Netherlands, 1994), p. 271.
[CrossRef]

Ismagilov, F. M.

F. M. Ismagilov, Yu. A. Kravtsov, Phys. Lett. A 188, 91 (1994).
[CrossRef]

F. M. Ismagilov, Yu. A. Kravtsov, Waves Random Med. 3, 17 (1993).
[CrossRef]

Kattawar, G. W.

Kravtsov, Yu. A.

F. M. Ismagilov, Yu. A. Kravtsov, Phys. Lett. A 188, 91 (1994).
[CrossRef]

F. M. Ismagilov, Yu. A. Kravtsov, Waves Random Med. 3, 17 (1993).
[CrossRef]

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
[CrossRef]

Lagendijk, A.

M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
[CrossRef]

Mackowski, D. W.

Mishchenko, M. I.

Muinonen, K.

K. Muinonen, “Light scattering by inhomogeneous media: backward enhancement and reversal of linear polarization,” Ph.D. dissertation (University of Helsinki, Helsinki, Finland, 1990).

Ozrin, V. D.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
[CrossRef]

Saichev, A. I.

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
[CrossRef]

Tishkovets, V. P.

V. P. Tishkovets, Kinem. Fiz. Nebes. Tel 10(2), 58–63 (1994).

Travis, L. D.

van Albada, M. P.

M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

van der Mark, M. B.

M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
[CrossRef]

Wang, R. T.

Appl. Opt. (2)

Astrophys. J. (1)

M. I. Mishchenko, Astrophys. J. 411, 351 (1993).
[CrossRef]

Icarus (1)

B. Hapke, Icarus 88, 407 (1990); S. J. Ostro, Rev. Mod. Phys. 65, 1235 (1993); M. I. Mishchenko, J. M. Dlugach, Planet. Space Sci. 41, 173 (1993); K. Muinonen, in Asteroids, Comets, Meteors 1993, Proceedings of the 160th Symposium of the International Astronomical Union (Kluwer, Dordrecht, The Netherlands, 1994), p. 271.
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Phys. D (1)

M. P. van Albada, M. B. van der Mark, A. Lagendijk, J. Phys. D 21, S28 (1988).
[CrossRef]

Kinem. Fiz. Nebes. Tel (1)

V. P. Tishkovets, Kinem. Fiz. Nebes. Tel 10(2), 58–63 (1994).

Opt. Lett. (1)

Phys. Lett. A (1)

F. M. Ismagilov, Yu. A. Kravtsov, Phys. Lett. A 188, 91 (1994).
[CrossRef]

Space Sci. Rev. (1)

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

Waves Random Med. (1)

F. M. Ismagilov, Yu. A. Kravtsov, Waves Random Med. 3, 17 (1993).
[CrossRef]

Other (4)

Yu. N. Barabanenkov, Yu. A. Kravtsov, V. D. Ozrin, A. I. Saichev, in Progress in Optics XXIX, E. Wolf, ed. (Elsevier, New York, 1991), p. 65; B. A. van Tiggelen, “Multiple scattering and localization of light,”Ph.D. dissertation (Amsterdam University, Amsterdam, The Netherlands, 1992).
[CrossRef]

K. Muinonen, “Light scattering by inhomogeneous media: backward enhancement and reversal of linear polarization,” Ph.D. dissertation (University of Helsinki, Helsinki, Finland, 1990).

The interference forward-scattering peak should not be confused with the forward-scattering peak produced by the diffraction of light on the particle cross section if particle size is comparable with or larger than a wavelength.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957); C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).

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 (3)

Fig. 1
Fig. 1

σ* versus Θ for polydisperse, randomly oriented two-sphere clusters with xeff = 5, νeff = 0.05, (kd)eff = 25, mr = 1.2 (thin solid curve), mr = 1.5 (thick solid curve).

Fig. 2
Fig. 2

σ* versus u for polydisperse, randomly oriented two-sphere clusters with xeff = 5, νeff = 0.05, mr = 1.2, and (kd)eff = 30 (solid curve), 25 (dotted curve), and 20 (dashed curve).

Fig. 3
Fig. 3

As in Fig. 2, but for normalized backscattered intensity versus w.

Equations (1)

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

n ( x ) x ( 1 - 3 ν eff ) / ν eff exp [ - x / ( r eff ν eff ) ] ,

Metrics