Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor

Abstract:

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.

Registro:

Documento: Artículo
Título:Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions
Autor:Frontini, G.L.; Fernández Berdaguer, E.M.
Filiación:INTEMA, Univ. Nac. de Mar del Plata, Mar del Plata, Argentina
Instituto de Calculo FCEyN, Fac. Ingeniería, Univ. Nac. de Buenos Aires, Buenos Aires, Argentina
Palabras clave: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
Año:2003
Volumen:11
Número:4
Página de inicio:329
Página de fin:340
Título revista:Inverse Problems in Engineering
Título revista abreviado:Inverse Probl. Eng.
ISSN:10682767
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini

Referencias:

  • Kerker, M., (1969) The Scattering of Light and Other Electromagnetic Radiation, , Academic Press, New York
  • Glatter, O., Hofer, M., Jorde, C., Eigner, W., Optical sizing of small colloidal particles: An optimized regularization technique (1991) Applied Optics, 30, p. 33
  • Shaw, G.E., Inversion of optival scattering and spectral extinction measurements to recover aerosol size spectra (1979) Appl. Opt., 18, pp. 988-993
  • Glatter, O., Hofer, M., Jorde, C., Eigner, W., Interpretation of elastic light-scattering data in real space (1985) J. of Colloid and Interface Science, 105, p. 577
  • Engl, H.W., Hanke, M., Neubauer, A., (1996) Regularization of Inverse Problems, , Kluwer Academic Publishers, The Netherlands
  • Hansen, P.C., Rank-deficient and discrete Ill-posed problems (1998) Numerical Aspects of Linear Inversion, , Siam, Philadelphia
  • Glatter, O., Siebere, J., Schnablegger, H., A comparative study on different scattering techniques and data evaluation methods for sizing of colloidal systems using light scattering (1991) Part. Part. Syst. Charact., 8, pp. 274-281
  • Provencher, S.W., A constrained regularization method for inverting data represented by linear algebraic or integral equations (1982) Comput. Phys. Commun, 27, pp. 213-227
  • Schnablegger, H., Glatter, O., Simultaneous determination of size distribution and refractive index of colloidal particles from static light-scattering experiments (1993) J. of Colloid and Interface Science, 158, pp. 228-242
  • Jones, M.R., Curry, B.P., Brewster, M.Q., Leong, K.H., Inversion of light-scattering measurements for particle size and optical constants: Theoretical study (1994) Applied Optics, 33, p. 18
  • Mie, G., (1908) Ann. Phys., 25, p. 377
  • Van De Hulst, H.C., (1981) Light Scattering by Small Particles, , Dover Publications, New York
  • Barber, P.W., Hill, S.C., (1998) Light Scattering by Particles: Computational Methods, , World Scientific Pub., Singapore
  • Bohren, C., Huffman, D., (1983) Absorption and Scattering of Light by Small Particles, , John Wiley & Sons, New York, USA
  • Tikhonov, A.N., Arsenin, V., (1977) Solution of Ill-Posed Problems, , Wiley, New York
  • Golub, G.H., Heath, M., Wahba, G., Generalized cross validation as a method for choosing a good parameter (1979) Technometrics, 21, p. 215
  • Neubauer, A., An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error (1988) App. Num. Math., 4, pp. 507-519

Citas:

---------- APA ----------
Frontini, G.L. & Fernández Berdaguer, E.M. (2003) . Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions. Inverse Problems in Engineering, 11(4), 329-340.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini [ ]
---------- CHICAGO ----------
Frontini, G.L., Fernández Berdaguer, E.M. "Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions" . Inverse Problems in Engineering 11, no. 4 (2003) : 329-340.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini [ ]
---------- MLA ----------
Frontini, G.L., Fernández Berdaguer, E.M. "Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions" . Inverse Problems in Engineering, vol. 11, no. 4, 2003, pp. 329-340.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini [ ]
---------- VANCOUVER ----------
Frontini, G.L., Fernández Berdaguer, E.M. Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions. Inverse Probl. Eng. 2003;11(4):329-340.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10682767_v11_n4_p329_Frontini [ ]