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Light Scattering by Anthophyllite‐Crocidolite Asbestos Fibers. Part II: Comparison of various approximate theories with the EBCM theory
Author(s) -
Lapalme René,
Patitsas Tom A. J.
Publication year - 1993
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.19930100409
Subject(s) - fiber , mie scattering , scattering , cylinder , asbestos fibers , physics , light scattering , optics , mathematics , materials science , composite material , geometry , asbestos
The effect of the geometry of the fiber ends on the scattered intensities is considered. A new modification of the Rayleighdebye‐Gans (RDG) approximate theory, the Mie Substitution Theory (MST) theory, is introduced. The Boundary Value Method (BVM) for the infinite cylinder, the RDG theory, the Shifrin (SFR) modification of the RDG theory and the MST theory are compared with the EBCM theory for various values of fiber diameter, length, refractive index and for various fiber orientations, including random orientation. Scattering from suspensions of fibers, typical of UICC crocidolite and anthophyllite asbestos fibers, is considered using the BVM, the MST and the RDG theories when the fibers are assumed to be aligned and the MST and the RDG theories when the fibers are assumed to be randomly oriented.