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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 33 — Nov. 20, 1997
  • pp: 8791–8797

Mean-field approximation of Mie scattering by fractal aggregates of identical spheres

Robert Botet, Pascal Rannou, and Michel Cabane  »View Author Affiliations


Applied Optics, Vol. 36, Issue 33, pp. 8791-8797 (1997)
http://dx.doi.org/10.1364/AO.36.008791


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Abstract

We apply the recent exact theory of multiple electromagnetic scattering by sphere aggregates to statistically isotropic finite fractal clusters of identical spheres. In the mean-field approximation the usual Mie expansion of the scattered wave is shown to be still valid, with renormalized Mie coefficients as the multipolar terms. We give an efficient method of computing these coefficients, and we compare this mean-field approach with exact results for silica aggregates of fractal dimension 2.

© 1997 Optical Society of America

History
Original Manuscript: October 30, 1996
Revised Manuscript: March 31, 1997
Published: November 20, 1997

Citation
Robert Botet, Pascal Rannou, and Michel Cabane, "Mean-field approximation of Mie scattering by fractal aggregates of identical spheres," Appl. Opt. 36, 8791-8797 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-33-8791


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References

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  15. These coefficients appear naturally in the functions τm,n(cos θ) = dPnm(cos θ)/dθ and πm,n(cos θ) = mPnm(cos θ)/sin θ, since τ‖m‖,n = σm,nτm,n and π‖m‖,n = σm,n′πm,n.
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