# Numerical methods for inverse problems in electrooptics of polydisperse colloids

Research output

10 Citations (Scopus)

### Abstract

In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.
Original language English 121–125 Colloids and Surfaces B: Biointerfaces 56 1-2 https://doi.org/10.1016/j.colsurfb.2006.10.022 Published - 2007 Yes

### Fingerprint

Colloids
Electrooptical effects
Inverse problems
electro-optics
Integral equations
Distribution functions
colloids
Numerical methods
penalty function
integral equations
distribution functions

### Cite this

@article{3a8d88811cf34e89823fd39675637702,
title = "Numerical methods for inverse problems in electrooptics of polydisperse colloids",
abstract = "In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.",
keywords = "Polydispersity, Distribution function, Fredholm I kind integral equation, Numerical methods, Penalty functions",
author = "L. Babadzanjanz and A. Voitylov",
year = "2007",
doi = "http://dx.doi.org/10.1016/j.colsurfb.2006.10.022",
language = "English",
volume = "56",
pages = "121–125",
journal = "Colloids and Surfaces B: Biointerfaces",
issn = "0927-7765",
publisher = "Elsevier",
number = "1-2",

}

In: Colloids and Surfaces B: Biointerfaces, Vol. 56, No. 1-2, 2007, p. 121–125.

Research output

TY - JOUR

T1 - Numerical methods for inverse problems in electrooptics of polydisperse colloids

AU - Voitylov, A.

PY - 2007

Y1 - 2007

N2 - In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.

AB - In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.

KW - Polydispersity

KW - Distribution function

KW - Fredholm I kind integral equation

KW - Numerical methods

KW - Penalty functions

U2 - http://dx.doi.org/10.1016/j.colsurfb.2006.10.022

DO - http://dx.doi.org/10.1016/j.colsurfb.2006.10.022

M3 - Article

VL - 56

SP - 121

EP - 125

JO - Colloids and Surfaces B: Biointerfaces

JF - Colloids and Surfaces B: Biointerfaces

SN - 0927-7765

IS - 1-2

ER -