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Proceedings Paper

Optical properties and scaling in fractal aggregates
Author(s): Guillermo P. Ortiz; W. Luis Mochan
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Paper Abstract

Within the first born approximation, the calculated angular distribution of the light scattered by a fractal decays as a power of the scattering wavevector Q, with an exponent given by the fractal dimension df. This has been frequently used experimentally to characterize optically the geometry of fractal systems. The validity of the result above has been questioned for frequencies close to the resonances of the system, for which the first born approximation fails. In this paper we apply a recently developed hierarchical algorithm to calculate the self-consistent near field and the scattered electromagnetic field for 2D colloidal aggregates excited at their resonant frequencies. The local environment of the strongly polarized regions manifests itself in the angular dependence of these scattered intensity corresponding to large Q. For Q within the mass scaling region, the scattering does decay as Q-df for some frequencies, similar to the geometrical structure factor S(Q), but shows no scaling whatsoever for others.

Paper Details

Date Published: 14 August 2001
PDF: 4 pages
Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); doi: 10.1117/12.437199
Show Author Affiliations
Guillermo P. Ortiz, Univ. Nacional Autonoma de Mexico and Univ. Autonoma del Estado de Morelos (Mexico)
W. Luis Mochan, Univ. Nacional Autonoma de Mexico (Mexico)

Published in SPIE Proceedings Vol. 4419:
4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications

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