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

PDF Article

References

  • View by:
  • |
  • |
  • |

  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).
  8. A. Ishimaru, Wave Propagation and Scattering in Random Media, Volume 2: Multiples cattering, Turbulence, Rough Surfaces and Remote Sensing (Academic, 1978).
  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).
  15. P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985).
  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).
  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).
  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).
  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]
  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).
  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).
  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).
  30. P. Chylek, "Light scattering by small particles in an absorbing medium," J. Opt. Soc. Am. 67, 561-563 (1977).
  31. G. Videen and W. Sun, "Yet another look at light scattering from particles in absorbing media," Appl. Opt. 42, 6724-6727 (2003).
  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).
  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).
  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).
  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).
  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).
  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]
  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).
  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]

2007

2006

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]

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]

2005

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]

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]

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]

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]

2004

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).

2003

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).

G. Videen and W. Sun, "Yet another look at light scattering from particles in absorbing media," Appl. Opt. 42, 6724-6727 (2003).

2002

2001

2000

1999

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).

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]

1998

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).

1997

1996

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]

1994

G. Fardella and S. Berthier, "Infrared emissivity of inhomogeneous media," Physica A 207, 346-351 (1994).
[CrossRef]

1993

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]

1991

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).

1985

P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985).

1979

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]

1977

1974

1971

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]

1964

J. B. Keller, "Stochastic equation and wave propagation in random media," in Proc. Symp. Appl. Math. 13, 145-170 (1964).

V. Twersky, "On propagation in random media of discrete scatterers," Proc. Am. Math. Soc. 16, 84-116 (1964).

1958

J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1-13 (1958).
[CrossRef]

1957

P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 10, 505-509 (1957).

1951

M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287-310 (1951).
[CrossRef]

1945

L. Foldy, "General theory of isotropic scattering by randomly distributed scatterers," Phys. Rev. 67, 107-119 (1945).
[CrossRef]

Agarwal, G. S.

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]

Anderson, P. W.

P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985).

P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 10, 505-509 (1957).

Apresyan, L.

L. Apresyan and Y. Kravtsov, Radiation Transfer, Statistical and Wave Aspects (Gordon and Breach, 1996).

Baillis, D.

Baum, B. A.

Berthier, S.

G. Fardella and S. Berthier, "Infrared emissivity of inhomogeneous media," Physica A 207, 346-351 (1994).
[CrossRef]

Bohren, C. F.

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]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

Bruscaglioni, P.

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]

Calvo-Perez, O.

Carminati, R.

J.-J. Greffet and R. Carminati, "Image formation in near field optics," Prog. Surf. Sci. 56, 133-237 (1997).
[CrossRef]

Case, K. M.

K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).

Chandrasekhar, S.

S. Chandrasekhar, Radiative Transfer (Dover, 1960).

Chang, R. K.

P.W.Barber and R. K. Chang, eds., Optical Effects Associated with Small Particles (World Scientific, 1988).

Chylek, P.

Derode, A.

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]

DeRoo, R. D.

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).

Dick, V. P.

Ding, K. H.

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, Theories and Applications (Wiley, 2000).

Dombrovsky, L.

Durant, S.

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).

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).

Fardella, G.

G. Fardella and S. Berthier, "Infrared emissivity of inhomogeneous media," Physica A 207, 346-351 (1994).
[CrossRef]

G. Fardella, "Modélisation de l'émission thermique de rayonnement infrarouge par les milieux inhomogènes," Ph.D thesis (Université Pierre et Marie Curie, 1995).

Foldy, L.

L. Foldy, "General theory of isotropic scattering by randomly distributed scatterers," Phys. Rev. 67, 107-119 (1945).
[CrossRef]

Frisch, U.

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.

Fu, Q.

Gao, B.-C.

Gartz, M.

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]

Gilra, D. P.

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]

Greffet, J. J.

Greffet, J.-J.

J.-J. Greffet and R. Carminati, "Image formation in near field optics," Prog. Surf. Sci. 56, 133-237 (1997).
[CrossRef]

Guerin, C. A.

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]

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]

Haddock, T. F.

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).

Hespel, L.

Hu, Y. X.

Huang, H.-L.

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media, Volume 2: Multiples cattering, Turbulence, Rough Surfaces and Remote Sensing (Academic, 1978).

Ismaelli, A.

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]

Ivanov, A. P.

Jones, A. R.

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).

Keller, J. B.

J. B. Keller, "Stochastic equation and wave propagation in random media," in Proc. Symp. Appl. Math. 13, 145-170 (1964).

Kong, J. A.

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

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, Theories and Applications (Wiley, 2000).

Kravtsov, Y.

L. Apresyan and Y. Kravtsov, Radiation Transfer, Statistical and Wave Aspects (Gordon and Breach, 1996).

Kreibig, U.

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]

Kuga, Y.

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).

Lax, M.

M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287-310 (1951).
[CrossRef]

Lebedev, A. N.

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]

Loiko, V. A.

Mainguy, S.

Mallet, P.

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]

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]

Mamou, V.

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]

Mishchenko, M. I.

Miskevich, A.

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]

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).

Molochko, V. V.

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).

Mundy, W. C.

Park, S. K.

Pattanayak, D. N.

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]

Percus, J. K.

J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1-13 (1958).
[CrossRef]

Pilon, L.

Platnick, S. E.

Prasher, R.

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]

Quinten, M.

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]

Randrianalisoa, J.

Rostalski, J.

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]

Roux, J. A.

Sentenac, A.

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]

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]

Sharma, S. K.

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).

Sheng, P.

P. Sheng, Introduction to Wave Scattering Localization, and Mesoscopic Phenomena (Academic, 1995).

Smith, A. M.

Stamnes, K.

G. E. Thomas and K. Stamnes, Radiative Transfer in the Atmosphere and Ocean (Cambridge U. Press, 1999).

Stenzel, O.

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]

Sudiarta, I. W.

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]

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).

Sun, W.

Tai, C.-T.

C.-T. Tai, Dyadic Green Function in Electromagnetic Theory (IEEE, 1993).

Thomas, G. E.

G. E. Thomas and K. Stamnes, Radiative Transfer in the Atmosphere and Ocean (Cambridge U. Press, 1999).

Tourin, A.

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]

Tsang, L.

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, Theories and Applications (Wiley, 2000).

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

Tsay, S.-C.

Twersky, V.

V. Twersky, "On propagation in random media of discrete scatterers," Proc. Am. Math. Soc. 16, 84-116 (1964).

Ulaby, F. T.

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).

Videen, G.

Vukadinovic, N.

Winker, D. M.

Wiscombe, W. J.

Wolf, E.

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]

Yang, P.

Yevick, G. J.

J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1-13 (1958).
[CrossRef]

Zaccanti, G.

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]

Zweifel, P. F.

K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).

Appl. Opt.

Eur. Phys. J. D

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]

J. Colloid Interface Sci.

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]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

J. Quant. Spectrosc. Radiat. Transf.

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).

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]

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).

Opt. Spectrosc.

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).

Part. Part. Syst. Charact.

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]

Philos. Mag. B

P. W. Anderson, "The question of classical localization: a theory of white paint?" Philos. Mag. B 52, 505-509 (1985).

Phys. Rev.

P. W. Anderson, "Absence of diffusion in certain random lattices," Phys. Rev. 10, 505-509 (1957).

L. Foldy, "General theory of isotropic scattering by randomly distributed scatterers," Phys. Rev. 67, 107-119 (1945).
[CrossRef]

J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," Phys. Rev. 110, 1-13 (1958).
[CrossRef]

Phys. Rev. B

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]

Phys. Rev. E

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]

Phys. Rev. Lett.

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]

Physica A

G. Fardella and S. Berthier, "Infrared emissivity of inhomogeneous media," Physica A 207, 346-351 (1994).
[CrossRef]

Proc. Am. Math. Soc.

V. Twersky, "On propagation in random media of discrete scatterers," Proc. Am. Math. Soc. 16, 84-116 (1964).

Proc. Symp. Appl. Math.

J. B. Keller, "Stochastic equation and wave propagation in random media," in Proc. Symp. Appl. Math. 13, 145-170 (1964).

Prog. Surf. Sci.

J.-J. Greffet and R. Carminati, "Image formation in near field optics," Prog. Surf. Sci. 56, 133-237 (1997).
[CrossRef]

Radio Sci.

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).

Rev. Mod. Phys.

M. Lax, "Multiple scattering of waves," Rev. Mod. Phys. 23, 287-310 (1951).
[CrossRef]

Trans. ASME, Ser. C: J. Heat Transfer

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]

Waves Random Media

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]

Other

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).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).

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.

G. Fardella, "Modélisation de l'émission thermique de rayonnement infrarouge par les milieux inhomogènes," Ph.D thesis (Université Pierre et Marie Curie, 1995).

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

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves, Theories and Applications (Wiley, 2000).

A. Ishimaru, Wave Propagation and Scattering in Random Media, Volume 2: Multiples cattering, Turbulence, Rough Surfaces and Remote Sensing (Academic, 1978).

P. Sheng, Introduction to Wave Scattering Localization, and Mesoscopic Phenomena (Academic, 1995).

P.W.Barber and R. K. Chang, eds., Optical Effects Associated with Small Particles (World Scientific, 1988).

S. Chandrasekhar, Radiative Transfer (Dover, 1960).

K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).

L. Apresyan and Y. Kravtsov, Radiation Transfer, Statistical and Wave Aspects (Gordon and Breach, 1996).

G. E. Thomas and K. Stamnes, Radiative Transfer in the Atmosphere and Ocean (Cambridge U. Press, 1999).

C.-T. Tai, Dyadic Green Function in Electromagnetic Theory (IEEE, 1993).

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.


Metrics