Theoretical study of the coherent light backscattering by random media

International Journal of Modern Physics B

Volumn 17, Issue 3, 2003, Pages 337-360

  Brodsky, A ^a   Burgess, L ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Backscattering interferometer; Multiscattering system; Random dielectric properties

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; DIELECTRIC CONSTANT; LIGHT; LIGHT SCATTERING; MATHEMATICAL ANALYSIS; WAVEFORM;

EID: 0037473185     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979203015917     Document Type: Article

References (40)

1. For the history of the problem see I. Fabelinskii, Molecular Scattering of Light (Plemiun Press, New York, 1968); F. Karal and J. Keller, J. Math. Phys. 5, 537 (1969) and literature therein.
2. For the history of the problem see I. Fabelinskii, Molecular Scattering of Light (Plemiun Press, New York, 1968); F. Karal and J. Keller, J. Math. Phys. 5, 537 (1969) and literature therein.
3. M. Nieto-Vesperinas and J. Dainty, eds., Scattering in Volumes and Surfaces (North-Holland, Amsterdam, 1990); S. John, Phys. Today, 44, 32 (1991); Ping Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic, New York, 1995).
4. M. Nieto-Vesperinas and J. Dainty, eds., Scattering in Volumes and Surfaces (North-Holland, Amsterdam, 1990); S. John, Phys. Today, 44, 32 (1991); Ping Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic, New York, 1995).
5. M. Nieto-Vesperinas and J. Dainty, eds., Scattering in Volumes and Surfaces (North-Holland, Amsterdam, 1990); S. John, Phys. Today, 44, 32 (1991); Ping Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic, New York, 1995).
6. E. Akkermans, P. E. Wolf, R. Maynard and G. Maret, J. Phys. France 49, 77 (1988); E. Amic, J. Luck and T. Nienwenhuizen, J. Phys. 117, 495 (1997).
7. E. Akkermans, P. E. Wolf, R. Maynard and G. Maret, J. Phys. France 49, 77 (1988); E. Amic, J. Luck and T. Nienwenhuizen, J. Phys. 117, 495 (1997).
8. Yu. Barabanenkov, Yu. Kravtsov, V. Ozvin and A. Saichev, in Progress in Optics, ed. E. Wolf, Vol. 29 (Elsevier, Amsterdam, 1991), p. 66.
9. F. Scheffold and G. Maret, Phys. Rev. Lett. 81, 5800 (1998).
10. K. Yao et al., Phys. Rev. Lett. 64, 2647 (1990); Rik H. Kop et al., ibid. 79, 4369 (1997); P. de Vries, D. van Coevorden and Ad. Lagendijk, Rev. Mod. Phys. 70, 447 (1998). These works demonstrate the failure of radiative transport theory in the description of light propagation through disordered slabs with a width comparable with or even larger than one probed in backscattering interferometry.
11. K. Yao et al., Phys. Rev. Lett. 64, 2647 (1990); Rik H. Kop et al., ibid. 79, 4369 (1997); P. de Vries, D. van Coevorden and Ad. Lagendijk, Rev. Mod. Phys. 70, 447 (1998). These works demonstrate the failure of radiative transport theory in the description of light propagation through disordered slabs with a width comparable with or even larger than one probed in backscattering interferometry.
12. K. Yao et al., Phys. Rev. Lett. 64, 2647 (1990); Rik H. Kop et al., ibid. 79, 4369 (1997); P. de Vries, D. van Coevorden and Ad. Lagendijk, Rev. Mod. Phys. 70, 447 (1998). These works demonstrate the failure of radiative transport theory in the description of light propagation through disordered slabs with a width comparable with or even larger than one probed in backscattering interferometry.
13. POAN Research Group (ed), New Aspects of Electromagnetic and Acoustic Wave Diffusion (Springer Tracts in Modern Physics, Vol. 199, Springer, Berlin, 1998).
14. K. M. Watson, J. Math. Phys. 10, 688 (1969).
15. D. De Wolf, IEEE Trans Antennas Propag. 19, 254 (1971).
16. Y. Kuga and A. Ishimaru, J. Opt. Soc. Am. A8, 831 (1984).
17. A. Brodsky, P. Shelley, S. Thurber and L. Burgess, J. Opt. Soc. Am. A19, 2263 (1997); S. Thurber, A. Brodsky and L. Burgess, Applied Spectroscopy 54, 1506 (2000); S. Thurber, L. Burgess, A. Brodsky and P. Shelley, J. Opt. Soc. Am. A17, 2039 (2000).
18. A. Brodsky, P. Shelley, S. Thurber and L. Burgess, J. Opt. Soc. Am. A19, 2263 (1997); S. Thurber, A. Brodsky and L. Burgess, Applied Spectroscopy 54, 1506 (2000); S. Thurber, L. Burgess, A. Brodsky and P. Shelley, J. Opt. Soc. Am. A17, 2039 (2000).
19. A. Brodsky, P. Shelley, S. Thurber and L. Burgess, J. Opt. Soc. Am. A19, 2263 (1997); S. Thurber, A. Brodsky and L. Burgess, Applied Spectroscopy 54, 1506 (2000); S. Thurber, L. Burgess, A. Brodsky and P. Shelley, J. Opt. Soc. Am. A17, 2039 (2000).
20. See also C. Popescu and A. Dogariu, Optics Lett. 24, 442 (1998).
21. D. Danielson and C. Whittenberg, Applied Optics 26, 2836 (1987).
22. K. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, New York, 1997).
23. I. Paaschens, T. Misirpashaev and C. Beenakker, Phys. Rev. B54, 11887 (1996).
24. A. Brodsky, S. Thurber and L. Burgess, J. Opt. Soc. Am. A17, 2029 (2000). In this article we have compared with backscattering experiments the preliminary results of the computation of the mean signal.
25. The Bloch-Nordsiek models in quantum field theory is reviewed in Introduction to the Theory of Quantized Fields, eds. N. Bogolubov and D. Shirkov (John Wiley, New York, 1980), Chap. VIII.
26. G. Samelsohn and R. Mazar, Phys. Rev. E54, 5697 (1996).
27. 19 when, as was shown by Placzek, the scattering cross-section contains only a scalar part (see for example Ref. 25).
28. R. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), Chaps. I-IV.
29. H. Van De Hulst, Light Scattering by Small Particles (Wiley, New York, 1957). For recent literature see G. Meeten, Opt. Commun. 134, 233 (1997).
30. H. Van De Hulst, Light Scattering by Small Particles (Wiley, New York, 1957). For recent literature see G. Meeten, Opt. Commun. 134, 233 (1997).
31. 19
32. L. Landau and E. Lifshitz, Electrodynamics of Condensed Media (Pergamon, London, 1980), Chap. 10.
33. 19) effects. See I. Lifshitz, S. Gredescal and L. Pastyr, Introduction to the Theory of Disordered Systems (J. Wiley, New York, 1988) and J. F. de Boer et al., Phys. Rev. Lett. 73, 2567 (1994). See also Ref. 27.
34. 19) effects. See I. Lifshitz, S. Gredescal and L. Pastyr, Introduction to the Theory of Disordered Systems (J. Wiley, New York, 1988) and J. F. de Boer et al., Phys. Rev. Lett. 73, 2567 (1994). See also Ref. 27.
35. For a review of invariant imbedding, see R. Rammal and D. Doucot, J. Phys. (France) 48, 509 (1987); ibid. 48, 527 (1987).
36. For a review of invariant imbedding, see R. Rammal and D. Doucot, J. Phys. (France) 48, 509 (1987); ibid. 48, 527 (1987).
37. B. Berestetskii, E. Lifshitz and L. Pitaevskii, Quantum Electrodynamics, 2nd Edition, (Pergemon Press, Oxford, 1982), Sec. 59.
38. M. Ayre and L. Rappoport, JETP 82, 647 (1996).
39. V. Tatarskii and V. Zavorotni, Prog. Opt. 18, 207 (1980).
40. I. Gradsteyn and I. Ryzhik, Table of Integrals, Series and Products, Fifth Edition (Academic Press, New York, 1980).