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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 21 — Jul. 20, 1998
  • pp: 5014–5018

Optical free-path-length distribution in a fractal aggregate and its effect on enhanced backscattering

Katsuhiro Ishii, Toshiaki Iwai, Jun Uozumi, and Toshimitsu Asakura  »View Author Affiliations


Applied Optics, Vol. 37, Issue 21, pp. 5014-5018 (1998)
http://dx.doi.org/10.1364/AO.37.005014


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Abstract

A free-path-length distribution function (FPDF) of multiply backscattered light is theoretically derived for a fractal aggregate of particles. An effective mean-free path-length l D is newly introduced as a measure of randomness analogous with a homogeneously random medium. We confirm the validity of the FPDF by demonstrating agreement between the dimensions designed for a particle distribution generated by a random walk based on the derived FPDF and estimated by the radius of gyration method. The FPDF is applied to Monte Carlo simulations for copolarized multiply backscattered light from the fractal aggregate of particles. It is shown that a copolarized intensity peak of enhanced backscattering in the far field decreases in accordance with θ2-D and has an angular width of λ/l D . This spatial feature of the backscattering enhancement corresponds to that of the copolarized intensity peak produced from a homogeneously random medium with a dimension of D = 3. As a result, the validity of the model for the fractal structure of particle aggregates and the applicability of the derived FPDF are confirmed by the numerical results.

© 1998 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.1350) Scattering : Backscattering
(290.4210) Scattering : Multiple scattering
(290.5820) Scattering : Scattering measurements

History
Original Manuscript: June 30, 1997
Revised Manuscript: February 24, 1998
Published: July 20, 1998

Citation
Katsuhiro Ishii, Toshiaki Iwai, Jun Uozumi, and Toshimitsu Asakura, "Optical free-path-length distribution in a fractal aggregate and its effect on enhanced backscattering," Appl. Opt. 37, 5014-5018 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-21-5014


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References

  1. D. W. Schaefer, J. E. Martin, “Fractal geometry of colloidal aggregates,” Phys. Rev. Lett. 52, 2371–2374 (1984). [CrossRef]
  2. J. E. Martin, B. J. Ackerson, “Static and dynamic scattering from fractals,” Phys. Rev. A 31, 1180–1182 (1985). [CrossRef] [PubMed]
  3. J. Teixeira, “Small-angle scattering by fractal systems,” J. Appl. Crystallogr. 21, 781–785 (1988). [CrossRef]
  4. C. M. Sorensen, J. Cai, N. Lu, “Light-scattering measurements of monomer size, monomers per aggregate, and fractal dimension for soot aggregates in flames,” Appl. Opt. 31, 6547–6557 (1992). [CrossRef] [PubMed]
  5. Z.-Y. Chen, P. Weaklien, W. M. Gelbart, P. Meakin, “Second-order light scattering and local anisotropy of diffusion-limited aggregates and bond-percolation clusters,” Phys. Rev. Lett. 58, 1996–1999 (1987). [CrossRef] [PubMed]
  6. A. Dogariu, J. Uozumi, T. Asakura, “Enhancement of backscattered intensity from fractal aggregates,” Waves Random Media 2, 259–263 (1992). [CrossRef]
  7. A. Dogariu, J. Uozumi, T. Asakura, “Source of error in optical measurements of fractal dimension,” Pure Appl. Opt. 2, 339–350 (1993). [CrossRef]
  8. E. Akkermans, P. E. Wolf, R. Maynard, G. Maret, “Theoretical study of the coherent backscattering of light by disordered media,” J. Phys. (Paris) 49, 77–98 (1988). [CrossRef]
  9. B. C. Wilson, G. Adam, “A Monte Carlo model for the absorption and flux distributions of light in tissue,” Med. Phys. 10, 824–830 (1983). [CrossRef] [PubMed]
  10. M. P. van Albada, A. Lagendijk, “Vector character of light in weak localization: spatial anisotropy in coherent backscattering from a random medium,” Phys. Rev. B 36, 2353–2356 (1987). [CrossRef]
  11. Y. Hasegawa, Y. Yamada, M. Tamura, Y. Nomura, “Monte Carlo simulation of light transmission through living tissues,” Appl. Opt. 30, 4515–4520 (1991). [CrossRef] [PubMed]
  12. T. Iwai, H. Furukawa, T. Asakura, “Numerical analysis on enhanced backscatterings of light based on Rayleigh–Debye scattering theory,” Opt. Rev. 2, 413–419 (1995). [CrossRef]
  13. K. Ishii, T. Iwai, T. Asakura, “Angular polarization properties of dynamic light scattering under the influence of enhanced backscattering,” Opt. Commun. 140, 99–109 (1997). [CrossRef]
  14. J. Feder, Fractal (Plenum, New York, 1988), pp. 31–40.
  15. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, San Diego, Calif., 1978), pp. 22–25.
  16. D. Schmeltzer, M. Kaveh, “Back-scattering of electromagnetic waves in random dielectric media,” J. Phys. C 20, L175–L179 (1987). [CrossRef]
  17. M. Rosenbluh, I. Edrei, M. Kaveh, I. Freund, “Precision determination of the line shape for coherently backscattered light from disordered solids: comparison of vector and scalar theories,” Phys. Rev. A 35, 4458–4460 (1987). [CrossRef] [PubMed]

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