Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions
Polymeric emulsions are well characterized by the knowledge of their particle size distributions (PSD). Elastic-light-scattering (ELS) measurements can be inverted to estimate the PSD in the range from 50 nm up to several micrometers. The relative refractive index of the particles is required in com...
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2003
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini http://hdl.handle.net/20.500.12110/paper_10682767_v11_n4_p329_Frontini |
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paper:paper_10682767_v11_n4_p329_Frontini2023-06-08T16:04:22Z Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions Elastic light scattering Generalized cross validation Tikhonov regularization Computer simulation Emulsions Light absorption Light measurement Light scattering Optimization Parameter estimation Particle size analysis Polymers Refractive index Elastic light scattering Generalized cross validation technique Polymeric emulsions Tikhonov regularization Inverse problems Polymeric emulsions are well characterized by the knowledge of their particle size distributions (PSD). Elastic-light-scattering (ELS) measurements can be inverted to estimate the PSD in the range from 50 nm up to several micrometers. The relative refractive index of the particles is required in computation procedures to obtain the PSD. Small differences in the assumed refractive index may cause significant differences in the resulting PSD. From the scattering data, the refractive index can be determined. In this article we present the corresponding technique. We consider polymeric emulsions where the nonabsorption assumption is reasonable. We propose a methodology based on Tikhonov regularization applied only to the distribution. However, we solve the minimization problem simultaneously with respect to the distribution and the refractive index. To select the regularization parameter, we include the Generalized Cross Validation (GCV) technique. From simulated ELS measurements we show that the problem is solved successfully. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini http://hdl.handle.net/20.500.12110/paper_10682767_v11_n4_p329_Frontini |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Elastic light scattering Generalized cross validation Tikhonov regularization Computer simulation Emulsions Light absorption Light measurement Light scattering Optimization Parameter estimation Particle size analysis Polymers Refractive index Elastic light scattering Generalized cross validation technique Polymeric emulsions Tikhonov regularization Inverse problems |
| spellingShingle |
Elastic light scattering Generalized cross validation Tikhonov regularization Computer simulation Emulsions Light absorption Light measurement Light scattering Optimization Parameter estimation Particle size analysis Polymers Refractive index Elastic light scattering Generalized cross validation technique Polymeric emulsions Tikhonov regularization Inverse problems Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| topic_facet |
Elastic light scattering Generalized cross validation Tikhonov regularization Computer simulation Emulsions Light absorption Light measurement Light scattering Optimization Parameter estimation Particle size analysis Polymers Refractive index Elastic light scattering Generalized cross validation technique Polymeric emulsions Tikhonov regularization Inverse problems |
| description |
Polymeric emulsions are well characterized by the knowledge of their particle size distributions (PSD). Elastic-light-scattering (ELS) measurements can be inverted to estimate the PSD in the range from 50 nm up to several micrometers. The relative refractive index of the particles is required in computation procedures to obtain the PSD. Small differences in the assumed refractive index may cause significant differences in the resulting PSD. From the scattering data, the refractive index can be determined. In this article we present the corresponding technique. We consider polymeric emulsions where the nonabsorption assumption is reasonable. We propose a methodology based on Tikhonov regularization applied only to the distribution. However, we solve the minimization problem simultaneously with respect to the distribution and the refractive index. To select the regularization parameter, we include the Generalized Cross Validation (GCV) technique. From simulated ELS measurements we show that the problem is solved successfully. |
| title |
Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| title_short |
Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| title_full |
Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| title_fullStr |
Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| title_full_unstemmed |
Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| title_sort |
inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions |
| publishDate |
2003 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini http://hdl.handle.net/20.500.12110/paper_10682767_v11_n4_p329_Frontini |
| _version_ |
1768541948915744768 |