Optical properties and scaling in fractal aggregates

Guillermo P. Ortiz; W. Luis Mochan

doi:10.1117/12.437199

14 August 2001 Optical properties and scaling in fractal aggregates

Guillermo P. Ortiz, W. Luis Mochan

Proceedings Volume 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications; (2001) https://doi.org/10.1117/12.437199
Event: IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, 2001, Tandil, Argentina

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 d_f. 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.

Citation Download Citation

Guillermo P. Ortiz and W. Luis Mochan "Optical properties and scaling in fractal aggregates", Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); https://doi.org/10.1117/12.437199

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