Analysis of fractal dimension of light scattering in polyhedral mirror-ball structures

Author(s):  
Kazuya Amano ◽  
Daisuke Narimatsu ◽  
Satoshi Sotome ◽  
Shinya Tashiro ◽  
Atsushi Uchida ◽  
...  
2020 ◽  
Vol 75 (1) ◽  
pp. 94-106
Author(s):  
Jennifer Aldama ◽  
Zhenqi Shi ◽  
Carlos Ortega-Zúñiga ◽  
Rodolfo J. Romañach ◽  
Sergiy Lysenko

Fractal and polarization analysis of diffusively scattered light is applied to determine the complex relationship between fractal dimension of structural morphology and concentration of chemically active ingredients in two pharmaceutical mixture systems including a series of binary mixtures of acetaminophen in lactose and three multicomponent blends with a proprietary active ingredient. A robust approach is proposed to identify and filter out multiple- and single-scattering components of scattering indicatrix. The fractal dimension extracted from scattering field reveals complex structural details of the sample, showing strong dependence on low-dose drug concentration in the blend. Low-angle diffraction shows optical “halo” patterns near the angle of specular reflection caused by light refraction in microcrystalline aggregates. Angular measurements of diffuse reflection demonstrate noticeable dependence of Brewster's angle on drug concentration. It is shown that the acetaminophen microcrystals produce scattered light depolarization due to their optical birefringence. The light scattering measurement protocol developed for diffusively scattered light by microcrystalline pharmaceutical compositions provides a novel approach for the pattern recognition, analysis and classification of materials with a low concentration of active chemical ingredients.


Fractals ◽  
2000 ◽  
Vol 08 (03) ◽  
pp. 285-291 ◽  
Author(s):  
TAKAMICHI TERAO ◽  
TAKUMI TERAOKA ◽  
TSUNEYOSHI NAKAYAMA

We study aerosol growth phenomena in the free-molecular regime. The growth kinetics is clarified by two different approaches, such as the Smoluchowski equation and the cluster-cluster aggregation (CCA) model. The calculated results suggest that the Smoluchowski equation gives a correct description on the aerosol formation. We also study the light scattering intensity on aggregates with non-spherical monomers. The fractal dimension of aggregates does not depend on the microscopic detail of monomers, which confirms the theoretical prediction proposed by restricted hierarchical model.


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