OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 6 — Mar. 19, 2007
  • pp: 2822–2836

Multiple scattering by random particulate media: exact 3D results

Michael I. Mishchenko, Li Liu, Daniel W. Mackowski, Brian Cairns, and Gorden Videen  »View Author Affiliations


Optics Express, Vol. 15, Issue 6, pp. 2822-2836 (2007)
http://dx.doi.org/10.1364/OE.15.002822


View Full Text Article

Enhanced HTML    Acrobat PDF (967 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We use the numerically exact superposition T-matrix method to perform extensive computations of electromagnetic scattering by a 3D volume filled with randomly distributed wavelength-sized particles. These computations are used to simulate and analyze the effect of randomness of particle positions as well as the onset and evolution of various multiple-scattering effects with increasing number of particles in a statistically homogeneous volume of discrete random medium. Our exact results illustrate and substantiate the methodology underlying the microphysical theories of radiative transfer and coherent backscattering. Furthermore, we show that even in densely packed media, the light multiply scattered along strings of widely separated particles still provides a significant contribution to the total scattered signal and thereby makes quite pronounced the classical radiative transfer and coherent backscattering effects.

© 2007 Optical Society of America

OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(030.5620) Coherence and statistical optics : Radiative transfer
(030.6140) Coherence and statistical optics : Speckle
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: January 22, 2007
Revised Manuscript: March 9, 2007
Manuscript Accepted: March 9, 2007
Published: March 19, 2007

Virtual Issues
Vol. 2, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Michael I. Mishchenko, Li Liu, Daniel W. Mackowski, Brian Cairns, and Gorden Videen, "Multiple scattering by random particulate media: exact 3D results," Opt. Express 15, 2822-2836 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-6-2822


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic Press, New York, 1978).
  2. V. L. Kuz’min and V. P. Romanov, "Coherent phenomena in light scattering from disordered systems," Phys.-Uspekhi 39, 231-260 (1996). [CrossRef]
  3. E. Amic, J. M. Luck, and T. M. Nieuwenhuizen, "Multiple Rayleigh scattering of electromagnetic waves," J. Phys. I (France) 7, 445-483 (1997). [CrossRef]
  4. M. C. W. van Rossum and T. M. Nieuwenhuizen, "Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion," Rev. Mod. Phys. 71, 313-371 (1999). [CrossRef]
  5. L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Advanced Topics (Wiley, New York, 2001).
  6. P. Sebbah, ed., Waves and Imaging through Complex Media (Springer, Berlin, 2001). [CrossRef]
  7. V. V. Tuchin, ed., Handbook of Optical Biomedical Diagnostics (SPIE Press, Bellingham, Wa., 2002).
  8. B. A. van Tiggelen and S. E. Skipetrov, eds., Wave Scattering in Complex Media: From Theory to Applications (Springer, Berlin, 2003). [CrossRef]
  9. J. W. Hovenier, C. van der Mee, and H. Domke, Transfer of Polarized Light in Planetary Atmospheres - Basic Concepts and Practical Methods (Springer, Berlin, 2004).
  10. G. Videen, Ya. Yatskiv, and M. Mishchenko, eds., Photopolarimetry in Remote Sensing (Springer, Berlin, 2004).
  11. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Multiple Scattering of Light by Particles: Radiative Transfer and Coherent Backscattering (Cambridge U. Press, Cambridge, UK, 2006).
  12. S. H. Tseng, Y. L. Kim, A. Taflove, D. Maitland, V. Backman, and J. T. Walsh, Jr., "Simulation of enhanced backscattering of light by numerically solving Maxwell’s equations without heuristic approximations," Opt. Express 13, 3666-3672 (2005). [CrossRef] [PubMed]
  13. S. H. Tseng, A. Taflove, D. Maitland, and V. Backman, "Pseudospectral time domain simulations of multiple light scattering in three-dimensional macroscopic random media," Radio Sci. 41, RS4009 (2006). [CrossRef]
  14. D. W. Mackowski, "Direct simulation of scattering and absorption by particle deposits," Proc. IMECE 2006, 14615 (2006).
  15. M. I. Mishchenko and L. Liu, "Weak localization of electromagnetic waves by densely packed many-particle groups: exact 3D results," J. Quant. Spectrosc. Radiat. Transfer, doi:10.1016/j.jqsrt.2007.01.039 (2007). [CrossRef]
  16. D. W. Mackowski and M. I. Mishchenko, "Calculation of the T matrix and the scattering matrix for ensembles of spheres," J. Opt. Soc. Am. A 13, 2266-2278 (1996). [CrossRef]
  17. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge U. Press, Cambridge, UK, 2002). http://www.giss.nasa.gov/~crmim/books.html.
  18. D. Mackowski, K. Fuller, and M. Mishchenko, "Codes for calculation of scattering by clusters of spheres." ftp://ftp.eng.auburn.edu/pub/dmckwski/scatcodes/index.html.
  19. M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and T. Wriedt, "T-matrix theory of electromagnetic scattering by particles and its applications: a comprehensive reference database," J. Quant. Spectrosc. Radiat. Transfer 88, 357-406 (2004).
  20. W. Brown, ed., Dynamic Light Scattering (Clarendon Press, Oxford, UK, 1993).
  21. S. Etemad, R. Thompson, and M. J. Andrejco, "Weak localization of photons: universal fluctuations and ensemble averaging," Phys. Rev. Lett. 57, 575-578 (1986). [CrossRef] [PubMed]
  22. D. W. Mackowski, "A simplified model to predict the effects of aggregation on the absorption properties of soot particles," J. Quant. Spectrosc. Radiat. Transfer 100, 237-249 (2006). [CrossRef]
  23. P. H. Kaye, K. Aptowicz, R. K. Chang, V. Foot, and G. Videen, "Angularly resolved elastic scattering from airborne particles," in Optics of Biological Particles, A. Hoekstra, V. Maltsev, and G. Videen, eds. (Springer, Berlin, 2007), pp. 31-60.
  24. P. A. Martin, Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles (Cambridge U. Press, Cambridge, UK, 2006). [CrossRef]
  25. S. Etemad, R. Thompson, M. J. Andrejco, S. John, and F. C. MacKintosh, "Weak localization of photons: termination of coherent random walks by absorption and confined geometry," Phys. Rev. Lett. 59, 1420-1423 (1987). [CrossRef] [PubMed]
  26. F. T. Ulaby and C. Elachi, eds., Radar Polarimetry for Geoscience Applications (Artech House, Norwood, Mass., 1990).
  27. S. J. Ostro, "Planetary radar astronomy," Rev. Mod. Phys. 65, 1235-1279 (1993). [CrossRef]
  28. B. A. Campbell, Radar Remote Sensing of Planetary Surfaces (Cambridge U. Press, Cambridge, UK, 2002).
  29. M. I. Mishchenko, "On the nature of the polarization opposition effect exhibited by Saturn’s rings," Astrophys. J. 411, 351-361 (1993). [CrossRef]
  30. M. P. van Albada, M. B. van der Mark, and A. Lagendijk, "Polarization effects in weak localization of light," J. Phys. D: Appl. Phys. 21, S28-S31 (1988). [CrossRef]
  31. K. Muinonen, "Coherent backscattering of light by complex random media of spherical scatterers: numerical solution," Waves Random Media 14, 365-388 (2004). [CrossRef]
  32. V. P. Tishkovets and M. I. Mishchenko, "Coherent backscattering of light by a layer of discrete random medium," J. Quant. Spectrosc. Radiat. Transfer 86, 161-180 (2004). [CrossRef]
  33. N. T. Zakharova and M. I. Mishchenko, "Scattering properties of needlelike and platelike ice spheroids with moderate size parameters," Appl. Opt. 39, 5052-5057 (2000). [CrossRef]
  34. N. T. Zakharova and M. I. Mishchenko, "Scattering by randomly oriented thin ice disks with moderate equivalent-sphere size parameters," J. Quant. Spectrosc. Radiat. Transfer 70, 465-471 (2001). [CrossRef]
  35. V. K. Rosenbush, V. V. Avramchuk, A. E. Rosenbush, and M. I. Mishchenko, "Polarization properties of the Galilean satellites of Jupiter: observations and preliminary analysis," Astrophys. J. 487, 402-414 (1997). [CrossRef]
  36. M. I. Mishchenko, V. K. Rosenbush, and N. N. Kiselev, "Weak localization of electromagnetic waves and opposition phenomena exhibited by high-albedo atmosphereless solar system objects," Appl. Opt. 45, 4459-4463 (2006). [CrossRef] [PubMed]
  37. E. Zubko, Yu. Shkuratov, M. Hart, J. Eversole, and G. Videen, "Backscattering and negative polarization of agglomerate particles," Opt. Lett. 28, 1504-1506 (2003). [CrossRef] [PubMed]
  38. E. Zubko, Yu. Shkuratov, M. Hart, J. Eversole, and G. Videen, "Backscattering of agglomerate particles," J. Quant. Spectrosc. Radiat. Transfer 88, 163-171 (2004). [CrossRef]
  39. V. P. Tishkovets, P. V. Litvinov, and M. V. Lyubchenko, "Coherent opposition effects for semi-infinite discrete random medium in the double-scattering approximation," J. Quant. Spectrosc. Radiat. Transfer 72, 803-811 (2002). [CrossRef]
  40. P. Litvinov, V. Tishkovets, and K. Ziegler, "Coherent backscattering effects for discrete random media," J. Quant. Spectrosc. Radiat. Transfer 103, 131-145 (2007). [CrossRef]
  41. Yu. Shkuratov, S. Bondarenko, A. Ovcharenko, C. Pieters, T. Hiroi, H. Volten, O. Muñoz, and G. Videen, "Comparative studies of the reflectance and degree of linear polarization of particulate surfaces and independently scattering particles," J. Quant. Spectrosc. Radiat. Transfer 100, 340-358 (2006). [CrossRef]
  42. A. Ovcharenko, S. Bondarenko, Yu. Shkuratov, C. Scotto, C. Merritt, M. Hart, J. Eversole, and G. Videen, "Backscatter effects of surfaces composed of dry biological particles," J. Quant. Spectrosc. Radiat. Transfer 101, 462-470 (2006). [CrossRef]
  43. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, "Localization of light in a disordered medium," Nature 390, 671-673 (1997). [CrossRef]
  44. F. Scheffold, R. Lenke, R. Tweer, and G. Maret, "Localization or classical diffusion of light?" Nature 398, 206-207 (1999). [CrossRef]
  45. D. S. Wiersma, J. G. Rivas, P. Bartolini, A. Lagendijk, and R. Righini, "Localization or classical diffusion of light? Reply," Nature 398, 207 (1999). [CrossRef]
  46. A. A. Chabanov, M. Stoytchev, and A. Z. Genack, "Statistical signatures of photon localization," Nature 404, 850-853 (2000). [CrossRef] [PubMed]
  47. M. Störzer, P. Gross, C. M. Aegerter, and G. Maret, "Observation of the critical regime near Anderson localization of light," Phys. Rev. Lett. 96, 063904 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited