Analysis of the solution of the elastic light scattering inverse problem for polymeric emulsions
We consider the problem of inversion of elastic light scattering (ELS) measurements from polymeric emulsions, to obtain its particle size distribution (PSD) and its refractive index. The mathematical formulation results in a nonlinear inverse problem. A Fredholm integral equation of the first kind a...
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2007
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| LEADER | 06988caa a22005897a 4500 | ||
|---|---|---|---|
| 001 | PAPER-6796 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203630.0 | ||
| 008 | 190411s2007 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-33847152048 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Frontini, G.L. | |
| 245 | 1 | 0 | |a Analysis of the solution of the elastic light scattering inverse problem for polymeric emulsions |
| 260 | |c 2007 | ||
| 270 | 1 | 0 | |m Frontini, G.L.; Instituto de Investigación en Ciencia y Tecnología de Materiales (INTEMA), Univ. Nac. de Mar del Plata, Mar del Plata, Argentina; email: gfrontin@fi.mdp.edu.ar |
| 506 | |2 openaire |e Política editorial | ||
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| 504 | |a Schnablegger, H., Glatter, O., Simultaneous determination of size distribution and refractive index of colloidal particles from static light-scattering experiments (1993) Journal of Colloid and Interface Science, 158, pp. 228-242 | ||
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| 504 | |a Frontini, G.L., Fernández Berdaguer, E.M., Inversion of elastic light scattering measurements to determine refractive index and particle size distribution of polymeric emulsions (2003) Inverse Problems in Engineering, 11 (4), pp. 329-340 | ||
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| 504 | |a Devon, M.J., Rudin, A., A simple technique for measuring the refractive index of polymer latexes at various wavelengths (1987) Journal of Applied Polymer Science, 34, pp. 469-476 | ||
| 504 | |a Khairullina, A.Y., Makarevich, S.A., Klyubin, V.V., Determination of the imaginary part of complex refractive index and other optical parameters of a latex suspension in water in the visible spectral range (1998) Optics and Spectroscopy, 85 (1), pp. 95-98 | ||
| 504 | |a Barber, O.W., Hill, S.C., (1990) Computational Light Scattering, , Singapore: World Scientific | ||
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| 504 | |a Tikhonov, A.N., Arsenin, V., (1977) Solution of Ill-posed Problems, , New York: Wiley | ||
| 504 | |a Phillips, D.L., A technique for the numerical solution of certain integral equations of the first kind (1962) Journal of AMC, 9, pp. 84-91 | ||
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| 520 | 3 | |a We consider the problem of inversion of elastic light scattering (ELS) measurements from polymeric emulsions, to obtain its particle size distribution (PSD) and its refractive index. The mathematical formulation results in a nonlinear inverse problem. A Fredholm integral equation of the first kind appears with an unknown parameter in its kernel. We discuss the existence, uniqueness, and stability of the generalized solutions of the problem when it is stated as a minimization problem with a least square functional. First, we assume that the PSD is known, and for this case we prove that the solution exists and is unique as long as the relation between the measurements and the parameter is by an injective function. Then, we use this result to state sufficient conditions for the complete problem. The analysis of existence and uniqueness of the solution for the problem in hand is supported by numerical simulation. The Phillips-Tikhonov regularization method is proposed to stabilize the problem when noisy-data is available. |l eng | |
| 536 | |a Detalles de la financiación: Universidad Nacional del Centro de la Provincia de Buenos Aires | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas | ||
| 536 | |a Detalles de la financiación: We want to thank the financial support from CONICET, Universidad Nacional de Mar del Plata and Universidad Nacional de Buenos Aires (Argentina). | ||
| 593 | |a Instituto de Investigación en Ciencia y Tecnología de Materiales (INTEMA), Univ. Nac. de Mar del Plata, Mar del Plata, Argentina | ||
| 593 | |a Instituto de Cálculo FCEyN, Fac. Ingeniería, Univ. Nac. de Buenos Aires, Argentina | ||
| 700 | 1 | |a Berdaguer, E.M.F. | |
| 773 | 0 | |d 2007 |g v. 15 |h pp. 123-135 |k n. 2 |p Inverse Probl. Sci. Eng. |x 17415977 |t Inverse Problems in Science and Engineering | |
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| 856 | 4 | 0 | |u https://doi.org/10.1080/17415970600573940 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_17415977_v15_n2_p123_Frontini |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17415977_v15_n2_p123_Frontini |y Registro en la Biblioteca Digital |
| 961 | |a paper_17415977_v15_n2_p123_Frontini |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 67749 | ||