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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Steven A. Burns
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2943–2952

Light scattering by a random distribution of particles embedded in absorbing media: diagrammatic expansion of the extinction coefficient

Stéphane Durant, Olivier Calvo-Perez, Nicolas Vukadinovic, and Jean-Jacques Greffet  »View Author Affiliations


JOSA A, Vol. 24, Issue 9, pp. 2943-2952 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002943


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Abstract

We address the problem of the modeling of the extinction coefficient into an absorbing medium, including a random distribution of identical scatterers of arbitrary size. We show that the extinction coefficient, including losses in the host medium, can be derived from a diagrammatic expansion arising from the rigorous multiple-scattering theory of electromagnetic waves in random media. While in previous approaches the contribution to the extinction coefficient due to the absorption in the host medium and due to the absorption and scattering by the particles were evaluated separately and heuristically, our approach is based on a derivation from first principles.

© 2007 Optical Society of America

OCIS Codes
(030.5620) Coherence and statistical optics : Radiative transfer
(290.2200) Scattering : Extinction
(290.4020) Scattering : Mie theory
(290.4210) Scattering : Multiple scattering
(300.1030) Spectroscopy : Absorption

ToC Category:
Scattering

History
Original Manuscript: January 12, 2007
Revised Manuscript: May 1, 2007
Manuscript Accepted: May 3, 2007
Published: August 24, 2007

Virtual Issues
Vol. 2, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Stéphane Durant, Olivier Calvo-Perez, Nicolas Vukadinovic, and Jean-Jacques Greffet, "Light scattering by a random distribution of particles embedded in absorbing media: diagrammatic expansion of the extinction coefficient," J. Opt. Soc. Am. A 24, 2943-2952 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-9-2943


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References

  1. L. Foldy, "General theory of isotropic scattering by randomly distributed scatterers," Phys. Rev. 67, 107-119 (1945). [CrossRef]
  2. M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287-310 (1951). [CrossRef]
  3. U. Frisch, "Wave propagation in random media," in Probabilistic Methods in Applied Mathematics, A.T.Bharuch-Reid, ed. (Academic, 1968), Vol. 1, pp. 75-198.
  4. J. B. Keller, "Stochastic equation and wave propagation in random media," in Proc. Symp. Appl. Math. 13, 145-170 (1964).
  5. V. Twersky, "On propagation in random media of discrete scatterers," Proc. Am. Math. Soc. 16, 84-116 (1964).
  6. L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves, Volume III: Advanced Topics (Wiley, 2001).
  7. L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, Theories and Applications (Wiley, 2000). [CrossRef]
  8. A. Ishimaru, Wave Propagation and Scattering in Random Media, Volume 2: Multiples cattering, Turbulence, Rough Surfaces and Remote Sensing (Academic, 1978). [PubMed]
  9. P. Sheng, Introduction to Wave Scattering Localization, and Mesoscopic Phenomena (Academic, 1995).
  10. P.W.Barber and R. K. Chang, eds., Optical Effects Associated with Small Particles (World Scientific, 1988).
  11. S. Chandrasekhar, Radiative Transfer (Dover, 1960).
  12. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).
  13. L. Apresyan and Y. Kravtsov, Radiation Transfer, Statistical and Wave Aspects (Gordon and Breach, 1996).
  14. G. E. Thomas and K. Stamnes, Radiative Transfer in the Atmosphere and Ocean (Cambridge U. Press, 1999). [CrossRef]
  15. P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985). [CrossRef]
  16. P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 10, 505-509 (1957).
  17. G. Fardella and S. Berthier, "Infrared emissivity of inhomogeneous media," Physica A 207, 346-351 (1994). [CrossRef]
  18. G. Fardella, "Modélisation de l'émission thermique de rayonnement infrarouge par les milieux inhomogènes," Ph.D thesis (Université Pierre et Marie Curie, 1995).
  19. Y. Kuga, F. T. Ulaby, T. F. Haddock, and R. D. DeRoo, "Millimeter-wave radar scattering from snow 1. Radiative transfer model," Radio Sci. 26, 329-341 (1991). [CrossRef]
  20. P. Yang, B.-C. Gao, W. J. Wiscombe, M. I. Mishchenko, S. E. Platnick, H.-L. Huang, B. A. Baum, Y. X. Hu, D. M. Winker, S.-C. Tsay, and S. K. Park, "Inherent and apparent scattering properties of coated or uncoated spheres embedded in an absorbing host medium," Appl. Opt. 41, 2740-2759 (2002). [CrossRef] [PubMed]
  21. S. K. Sharma and A. R. Jones, "Absorption and scattering of electromagnetic radiation by a large absorbing sphere with highly absorbing spherical inclusions," J. Quant. Spectrosc. Radiat. Transf. 79-80, 1051-1060 (2003). [CrossRef]
  22. L. Dombrovsky, J. Randrianalisoa, D. Baillis, and L. Pilon, "Use of Mie theory to analyze experimental data to identify infrared properties of fused quartz containing bubbles," Appl. Opt. 44, 7021-7031 (2005). [CrossRef] [PubMed]
  23. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).
  24. M. Quinten and J. Rostalski, "Lorenz-Mie theory for spheres immersed in an absorbing host medium," Part. Part. Syst. Charact. 13, 89-96 (1996). [CrossRef]
  25. A. N. Lebedev, M. Gartz, U. Kreibig, and O. Stenzel, "Optical extinction by spherical particles in an absorbing media: application to composite absorbing films," Eur. Phys. J. D 6, 365-373 (1999). [CrossRef]
  26. Q. Fu and W. Sun, "Mie theory for light scattering by a spherical particle in an absorbing medium," Appl. Opt. 40, 1354-1361 (2001). [CrossRef]
  27. I. W. Sudiarta and P. Chylek, "Mie-scattering formalism for spherical particles embedded in an absorbing medium," J. Opt. Soc. Am. A 18, 1275-1278 (2001). [CrossRef]
  28. I. W. Sudiarta and P. Chylek, "Mie scattering efficiency of a large spherical particle embedded in an absorbing medium," J. Quant. Spectrosc. Radiat. Transf. 70, 709-714 (2001). [CrossRef]
  29. W. C. Mundy, J. A. Roux, and A. M. Smith, "Mie scattering by spheres in an absorbing medium," J. Opt. Soc. Am. 64, 1593-1597 (1974). [CrossRef]
  30. P. Chylek, "Light scattering by small particles in an absorbing medium," J. Opt. Soc. Am. 67, 561-563 (1977). [CrossRef]
  31. G. Videen and W. Sun, "Yet another look at light scattering from particles in absorbing media," Appl. Opt. 42, 6724-6727 (2003). [CrossRef] [PubMed]
  32. C. F. Bohren and D. P. Gilra, "Extinction by a spherical particle in an absorbing medium," J. Colloid Interface Sci. 72, 215-221 (1979). [CrossRef]
  33. P. Bruscaglioni, A. Ismaelli, and G. Zaccanti, "A note on the definition of scattering cross sections and phase functions for spheres immersed in an absorbing medium," Waves Random Media 3, 147-156 (1993). [CrossRef]
  34. S. Durant, J. J. Greffet, O. Calvo-Perez, and N. Vukadinovic, "Light scattering by a random distribution of particles embedded in absorbing media: full-wave Monte Carlo solutions of the extinction coefficient," J. Opt. Soc. Am. A 24, 2953-2962 (2007). [CrossRef]
  35. S. Durant, "Propagation de la lumière en milieu aléatoire. Rôle de l'absorption, de la diffusion dépendante et du couplage surface-volume," Ph.D thesis (Ecole Centrale Paris, 2003).
  36. V. A. Loiko, V. P. Dick, and A. P. Ivanov, "Features in coherent transmittance of a monolayer of particles," J. Opt. Soc. Am. A 17, 2040-2045 (2000). [CrossRef]
  37. R. Prasher, "Modification of Planck blackbody emissive power and intensity in particulate media due to multiple and dependent scattering," Trans. ASME, Ser. C: J. Heat Transfer 127, 903-910 (2005). [CrossRef]
  38. P. Mallet, C. A. Guerin, and A. Sentenac, "Maxwell-Garnett mixing rule in the presence of multiple scattering: derivation and accuracy," Phys. Rev. B 72, 014205 (2005). [CrossRef]
  39. J.-J. Greffet and R. Carminati, "Image formation in near field optics," Prog. Surf. Sci. 56, 133-237 (1997). [CrossRef]
  40. C.-T. Tai, Dyadic Green Function in Electromagnetic Theory (IEEE, 1993).
  41. J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1-13 (1958). [CrossRef]
  42. V. P. Dick, V. A. Loiko, and A. P. Ivanov, "Light transmission by a monolayer of particles: comparison of experimental data with calculation as a single-scattering approximation," Appl. Opt. 36, 6119-6122 (1997). [CrossRef] [PubMed]
  43. V. A. Loiko, V. P. Dick, and A. P. Ivanov, "Passage of light through a dispersion medium with a high concentration of discrete inhomogeneities: experiment," Appl. Opt. 38, 2640-2646 (1999). [CrossRef]
  44. V. A. Loiko and V. V. Molochko, "The adding model for the coherent component in a concentrated layer of discrete scattereres," Opt. Spectrosc. 84, 755-760 (1998).
  45. V. A. Loiko and A. Miskevich, "The adding method for coherent transmittance and reflectance of a densely packed layer," J. Quant. Spectrosc. Radiat. Transf. 88, 125-138 (2004). [CrossRef]
  46. V. A. Loiko and A. Miskevich, "Light propagation through a monolayer of discrete scatterers: analysis of coherent transmission and reflection coefficients," Appl. Opt. 44, 3759-3768 (2005) [CrossRef] [PubMed]
  47. G. S. Agarwal, D. N. Pattanayak, and E. Wolf, "Structure of the electromagnetic field in a spatially dispersive medium," Phys. Rev. Lett. 27, 1022-1025 (1971). [CrossRef]
  48. L. Hespel, S. Mainguy, and J. J. Greffet, "Theoretical and experimental investigation of the extinction in a dense distribution of particles: nonlocal effects," J. Opt. Soc. Am. A 18, 3072-3076 (2001). [CrossRef]
  49. C. A. Guerin, P. Mallet, and A. Sentenac, "Effective-medium theory for finite-size aggregates," J. Opt. Soc. Am. A 23, 349-358 (2006). [CrossRef]
  50. A. Derode, V. Mamou, and A. Tourin, "Influence of correlations between scatterers on the attenuation of the coherent wave in a random media," Phys. Rev. E 74, 036606 (2006). [CrossRef]

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