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  • 1.
    Aarao, J
    et al.
    University of South Australia.
    Bradshaw-Hajek, B H
    University of South Australia.
    Miklavcic, Stan
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Ward, D A
    University of South Australia.
    Numerical implementation of the EDEM for modified Helmholtz BVPs on annular domains2011In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, ISSN 0377-0427, Vol. 235, no 5, p. 1342-1353Article in journal (Refereed)
    Abstract [en]

    In a recent paper by the current authors a new methodology called the Extended-Domain-Eigenfunction-Method (EDEM) was proposed for solving elliptic boundary value problems on annular-like domains. In this paper we present and investigate one possible numerical algorithm to implement the EDEM. This algorithm is used to solve modified Helmholtz BVPs on annular-like domains. Two examples of annular-like domains are studied. The results and performance are compared with those of the well-known boundary element method (BEM). The high accuracy of the EDEM solutions and the superior efficiency of the EDEM over the BEM, make EDEM an excellent alternate candidate to use in the animation industry, where speed is a predominant requirement, and by the scientific community where accuracy is the paramount objective.

  • 2.
    Aarao, J
    et al.
    University of South Australia.
    Bradshaw-Hajek, B H
    University of South Australia.
    Miklavcic, Stan
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Ward, D A
    University of South Australia.
    The extended-domain-eigenfunction method for solving elliptic boundary value problems with annular domains2010In: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, Vol. 43, no 18, p. 185202-Article in journal (Refereed)
    Abstract [en]

    Standard analytical solutions to elliptic boundary value problems on asymmetric domains are rarely, if ever, obtainable. In this paper, we propose a solution technique wherein we embed the original domain into one with simple boundaries where the classical eigenfunction solution approach can be used. The solution in the larger domain, when restricted to the original domain, is then the solution of the original boundary value problem. We call this the extended-domain-eigenfunction method. To illustrate the methods strength and scope, we apply it to Laplaces equation on an annular-like domain.

  • 3.
    Aarao, J
    et al.
    University of S Australia, Australia .
    Miklavcic, Stan J.
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Ward, D A.
    University of S Australia, Australia .
    Extended-domain-eigenfunction method (EDEM): a study of ill posedness and regularization2013In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 46, no 8Article in journal (Refereed)
    Abstract [en]

    The extended-domain-eigenfunction method (EDEM) proposed for solving elliptic boundary value problems on annular-like domains requires an inversion process. The procedure thus represents an ill-posed problem, whose numerical solution involves an ill-conditioned system of equations. In this paper, the ill-posed nature of EDEM is studied and numerical solutions based on regularization schemes are considered. It is shown that the EDEM solution methodology lends itself naturally to a formulation in terms of the well-known iterative Landweber method and the more general and faster converging semi-iterative regularization schemes. Theoretical details and numerical results of the regularization schemes are presented for the case of the two-dimensional Laplace operator on annular domains.

  • 4.
    Ahualli, S.
    et al.
    Departamento de Fisica Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain.
    Delgado, A.
    Departamento de Fisica Aplicada, Facultad de Ciencias, Universidad de Granada, Granada, Spain.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    White, L.R.
    Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA.
    Dynamic electrophoretic mobility of concentrated dispersions of spherical colloidal particles. On the consistent use of the cell model2006In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 22, no 16, p. 7041-7051Article in journal (Refereed)
    Abstract [en]

    This paper outlines a complete and self-consistent cell model theory of the electrokinetics of dense spherical colloidal suspensions for general electrolyte composition, frequency of applied field, ? potential, and particle size. The standard electrokinetic equations, first introduced for any given particle configuration, are made tractable to computation by averaging over particle configurations. The focus of this paper is on the systematic development of suitable boundary conditions at the outer cell boundary obtained from global constraints on the suspension. The approach is discussed in relation to previously published boundary conditions that have often been introduced in an ad hoc manner. Results of a robust numerical calculation of high-frequency colloidal transport properties, such as dynamic mobility, using the present model are presented and compared with some existing dense suspension models. © 2006 American Chemical Society.

  • 5.
    Ahualli, S.
    et al.
    Department of Applied Physics, University of Granada, 18071 Granada, Spain.
    Delgado, A.V.
    Department of Applied Physics, University of Granada, 18071 Granada, Spain.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    White, L.R.
    Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, United States.
    Use of a cell model for the evaluation of the dynamic mobility of spherical silica suspensions2007In: Journal of Colloid and Interface Science, ISSN 0021-9797, E-ISSN 1095-7103, Vol. 309, no 2, p. 342-349Article in journal (Refereed)
    Abstract [en]

    In this paper we evaluate the validity of a cell model for the calculation of the dynamic mobility of concentrated suspensions of spheres. The key point is the consideration of the boundary conditions (electrical and hydrodynamic) at the boundary of the fluid cell surrounding a single probe particle. The model proposed is based on a universal criterion for the averages of fluid velocity, electric potential, pressure field or electrochemical properties in the cell. The calculations are checked against a wide set of experimental data on the dynamic mobility of silica suspensions with two different radii, several ionic strengths, and two particle concentrations. The comparison reveals an excellent agreement between theory and experiment, and the model appears to be extremely suitable for correctly predicting the behavior of the dynamic mobility, including the changes in the zeta potential, ?, with ionic strength, the frequency and amplitude of the Maxwell-Wagner-O'Konski relaxation, and the inertial relaxation occurring at the top of the frequency range accessible to our experimental device. © 2007 Elsevier Inc. All rights reserved.

  • 6. Attard, P
    et al.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Effective spring constant of bubbles and droplets2001In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 17, no 26, p. 8217-8223Article in journal (Refereed)
    Abstract [en]

    It is shown that gas bubbles and liquid droplets respond as hookean springs to applied loads in the experimental weak force regime. An analytic expression is obtained for the spring constant that is identical for both, linear in the surface tension gamma, and logarithmically dependent on the lengths (the decay length of the interaction, the radius of the bubble or droplet, and the radius of the particle or probe). For acute interior contact angles greater than about 20 degrees, it is typically in the range 0.8-1.2 gamma, in agreement with published atomic force microscopy data, and it increases logarithmically for smaller contact angles. Analytic expressions are also obtained for the deformed profile, the extent of the dimple and of the interaction region, the wrapping radius, and the rupture force.

  • 7.
    Attard, Phil
    et al.
    Ian Wark Research Institute, University of South Australia, Mawson Lakes, South Australia, 5095, Australia.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Effective spring description of a bubble or a droplet interacting with a particle2002In: Journal of Colloid and Interface Science, ISSN 0021-9797, E-ISSN 1095-7103, Vol. 247, no 1, p. 255-257p. 255-257Article in journal (Other academic)
    Abstract [en]

    It is shown that the interaction of a particle with a liquid drop or a gas bubble may be quantitatively described over the whole distance regime by treating the fluid interface as a Hookean spring. An algorithm suitable for analyzing atomic force microscopy data suitable for a calculator or a spread-sheet is given and applied to data for oil drops. (C) 2002 Elsevier Science (USA).

  • 8.
    Bradshaw-Hajek, B H
    et al.
    University of S Australia, Australia .
    Miklavcic, Stan
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Ward, D A
    University of S Australia, Australia .
    A composite Level Set and Extended-Domain-Eigenfunction Method for simulating 2D Stokes flow involving a free surface2013In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 237, no 1, p. 389-402Article in journal (Refereed)
    Abstract [en]

    In this paper, the Extended-Domain-Eigenfunction-Method (EDEM) is combined with the Level Set Method in a composite numerical scheme for simulating a moving boundary problem. The liquid velocity is obtained by formulating the problem in terms of the EDEM methodology and solved using a least square approach. The propagation of the free surface is effected by a narrow band Level Set Method. The two methods both pass information to each other via a bridging process, which allows the position of the interface to be updated. The numerical scheme is applied to a series of problems involving a gas bubble submerged in a viscous liquid moving subject to both an externally generated flow and the influence of surface tension.

  • 9.
    Bradshaw-Hajek, B H
    et al.
    University of South Australia.
    Miklavcic, Stan
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    White, L R
    University of South Australia.
    The Actual Dielectric Response Function for a Colloidal Suspension of Spherical Particles2010In: LANGMUIR, ISSN 0743-7463, Vol. 26, no 11, p. 7875-7884Article in journal (Refereed)
    Abstract [en]

    In this paper, we present a theoretical analysis of the dielectric response of a dense suspension of spherical colloidal particles based on a self-consistent cell model. Particular attention is paid to (a) the relationship between the dielectric response and the conductivity response and (b) the connection between the real and imaginary parts of these responses based on the Kramers-Kronig relations. We have thus clarified the analysis of Carrique et al. (Carrique, F. Criado, C.; Delgado, A. V. J. Colloid Interface Sci. 1993, 156, 117). We have shown that both the conduction and displacement current components are complex quantities with both real and imaginary parts being frequency dependent. The dielectric response exhibits characteristics of two relaxation phenomena: the Maxwell-Wagner and the a-relaxations, with the imaginary part being the more sensitive instrument. The inverse Fourier transform of the simulated dielectric response is compared with a phenomenological, two-exponential response function with good agreement obtained. The two fitted decay times also compare well with times extracted from the explicit simulations.

  • 10.
    Bradshaw-Hajek, B. H.
    et al.
    Univ S Australia, Sch Math and Stat, Mawson Lakes, SA 5082, Australia.
    Miklavcic, Stanley J
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    White, L. R.
    Univ S Australia, Sch Math and Stat, Mawson Lakes, SA 5082, Australia.
    Dynamic Dielectric Response of Concentrated Colloidal Dispersions: Comparison between Theory and Experiment2009In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 25, no 4, p. 1961-1969Article in journal (Refereed)
    Abstract [en]

    The cell-model electrokinetic theory of Ahualli et al. Langmuir 2006, 22, 704 1; Ahualli et al. J. Colloid Interface Sci. 2007, 309, 342; and Bradshaw-Hajek et al. Langmuir 2008, 24, 4512 is applied to a dense suspension of charged spherical particles, to exhibit the systems dielectric response to an applied electric field as a function of solids volume fraction. The models predictions of effective permittivity and complex conductivity are favorably compared with published theoretical calculations and experimental measurements on dense colloidal systems. Physical factors governing the volume fraction dependence of the dielectric response are discussed.

  • 11. Bradshaw-Hajek, B.H.
    et al.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Whitet, L.R.
    Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania, University of South Australia, Mawson Lakes, SA 5095, Australia.
    Frequency-dependent electrical conductivity of concentrated dispersions of spherical colloidal particles2008In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 24, no 9, p. 4512-4522Article in journal (Refereed)
    Abstract [en]

    This paper outlines the application of a self-consistent cell-model theory of electrokinetics to the problem of determining the electrical conductivity of a dense suspension of spherical colloidal particles. Numerical solutions of the standard electrokinetic equations, subject to self-consistent boundary conditions, are implemented in formulas for the electrical conductivity appropriate to the particle-averaged cell model of the suspension. Results of calculations as a function of frequency, zeta potential, volume fraction, and electrolyte composition, are presented and discussed. © 2008 American Chemical Society.

  • 12.
    Cortat, Frédéric
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology, Digital Media.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Application of the variational calculus to wetting phenomena in chemical engineering2004Report (Other academic)
  • 13.
    Cortat, Frédéric
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology, Digital Media.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    How closely can a solid approach an air-water surface without becoming wet?2003In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 68, no 5Article in journal (Refereed)
    Abstract [en]

    Through a study of the van der Waals interaction between a solid and an air-water interface, we investigate the practical and fundamental problem of the limiting height at which an object can approach a free surface. A numerical study of the interface shape reveals dependencies governed by two disparate length scales associated with the relative strengths of the van der Waals and bouyancy forces, to surface tension. A study of the limits of solvability of the governing equation has led to the principal result: a closed-form expression for the absolute limiting height to which an object can be lowered to the air-water interface. The formula depends explicitly and only on the Hamaker constant of the van der Waals force and the geometry of the solid.

  • 14.
    Cortat, Frédéric
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology, Digital Media.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Using stable and unstable profiles to deduce deformation limits of the air-water interface2004In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 20, no 8, p. 3208-3220Article in journal (Refereed)
    Abstract [en]

    The shape of the air-water interface deformed by a van der Waals stress induced by a paraboloid shaped solid body is addressed and discussed. Emphasis is placed on the existence limit of solutions to the governing Euler-Lagrange equation for the equilibrium shape. Two legitimate solutions, one stable and one unstable, are found to converge at the existence limit, giving a numerical criterion for establishing critical physical conditions guaranteeing absolute stability. Insight is aided by a study of an analogous mechanical problem that exhibits very similar properties. Among numerical data produced are critical lower height limits of the paraboloid to the air-water surface and associated peak deformation heights and their dependencies on physical parameters. Of further interest to experimentalists in the surface force field are the variations in peak deformation height and total surface force on the solid as a function of position of the paraboloid, paraboloid geometry, and strength of the van der Waals stress.

  • 15.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    On the stability of planar fluid interfaces under van der Waals surface forces2003In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 36, no 33, p. 8829-8850Article in journal (Refereed)
    Abstract [en]

    This paper concerns an analysis of the stability of infinite planar interfaces between two immiscible fluids. The interface is subjected to a two-dimensional stress arising from the van der Waals interaction with a solid, infinite plate of finite thickness, positioned edge-on to the interface. The physical problem models the setup of a Wilhelmy plate experiment just prior to plate immersion through a fluid interface and three-phase contact line formation. The van der Waals surface force is attractive, causing the fluid interface to deform. We investigate the stability of the fluid interface and establish an analytical condition which is sufficient to ensure a stable interface as well as a condition for which the interface will not be stable to arbitrary disturbances. Both conditions focus on a sole, key function of the equilibrium profile, the latter a solution of the Euler-Lagrange equation for the system.

  • 16.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Attard, P.
    Ian Wark Research Institute, Levels Campus, University of South Australia, Mawson Lakes, SA 5095, Australia.
    Sufficient conditions for the stability and instability of a fluid boundary subjected to local stress2002In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 35, no 19, p. 4335-4347Article in journal (Refereed)
    Abstract [en]

    Sufficient conditions for either stability or instability of the interface of a fluid drop subject to localized surface stresses are presented. The stated conditions pertain to the case of an axisymmetric sessile drop having a fixed contact line and subject to axisymmetric forces acting on the surface of the drop. These conditions, appearing for the first time in the literature, are in the form of pointwise inequalities. They have quite general applicability, as they do not rely on explicit knowledge of the specific nature of an externally applied surface force. Supplementary integral inequalities are also provided and discussed.

  • 17.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Attard, P.
    Ian Wark Research Institute, Levels Campus, University of South Australia, Mawson Lakes, SA 5086, Australia.
    The equilibrium shape of an axisymmetric sessile drop subject to local stresses2001In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 34, no 38, p. 7849-7866Article in journal (Refereed)
    Abstract [en]

    The exact equation describing the shape of a fluid drop under the action of local surface stresses induced by colloidal interactions is derived without resorting to any of the approximations inherent in the profile equation currently employed in the literature. The exact equation implies, and numerical examples confirm, that repulsive external (i.e. positive) surface energies assist in stabilizing the drop against deformation, while attractive (i.e. negative) energies destabilize the drop, promoting or enhancing deformation. An inherent singularity in the governing differential equation (absent from the approximate equations currently used) when the surface energy (surface tension) is identically matched by an external attractive energy represents an instability limit. Explicit bounds are established for a further instability criterion and for the hydrostatic pressure difference across the interface. An exact equation for the radial extent of the sessile drop and some numerical examples are also presented.

  • 18.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Ericsson, Johan
    ITN, Linköping University.
    Practical implementation of the 3D terahedral TLM method and visualization of room acoustics2004In: 7th International Conference on Digital Audio Effects DAFX04,2004, Naples, Italy: Frederico II University of Naples , 2004, p. 262-Conference paper (Refereed)
  • 19.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Ericsson, Johan
    ITN, Linköping University.
    Practical implementation of the 3D tetrahedral TLM method and visualization of room acoustics2004Report (Other academic)
  • 20.
    Miklavcic, Stan J.
    et al.
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Said, Elias
    Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
    Electrostatic potential and double layer force in a semiconductor-electrolyte-semiconductor heterojunction2006In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 74, no 6, p. 061606-Article in journal (Refereed)
    Abstract [en]

    This paper reports a theoretical study of the electrostatic potential within a so-called pen-heterojunction made up of two semi-infinite, doped semiconductor media separated by an electrolyte region. An external potential is then applied across the entire system. Both the electrostatic potentials and double layer surface forces are studied as functions of the usual double layer system properties, semiconductor properties such as doping concentrations of acceptor and donator atoms, as well as applied potential. We find that both attractive and repulsive forces are possible depending on the surface charges on the electrolyte-semiconductor interfaces, and that these forces can be significantly modified by the applied potential and by the doping levels in the semiconductors.

  • 21.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    White, L.R.
    Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA.
    Stable van der Waals-induced deformations of the air-water interface. Theoretical predictions and a suggestion for an experiment2006In: Langmuir, ISSN 0743-7463, E-ISSN 1520-5827, Vol. 22, no 16, p. 6961-6968Article in journal (Refereed)
    Abstract [en]

    This article concerns the stability of the air-water interface subjected to a 2D attractive van der Waals stress. The physical problem models the setup of a Wilhelmy plate experiment prior to three-phase contact line formation. We present and employ an unambiguous condition to quantify the stability limit in terms of the distance of closest approach of a solid cylindrical plate of parabolic cross section to the fluid surface as a function of the strength of the van der Waals surface force and plate geometry. A numerical study spanning 4 orders of magnitude of the Hamaker constant and nearly 6 orders of magnitude of solid geometry characterizes the dependence of the stability limit on these physical parameters. Comparisons are also made with a previously published analytical condition guaranteeing a stable deformation of the fluid interface. A possible experiment for testing the theory is also described. Used together with the theory, the technique could be used as an independent means of determining system properties such as the surface tension or Hamaker constant. © 2006 American Chemical Society.

  • 22.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Zita, Andreas
    ITN, Linköping University.
    Arvidsson, Per
    ITN, Linköping University.
    A computational real-time sound synthesis of rain2004Report (Other academic)
  • 23.
    Miklavcic, Stan
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Zita, Andreas
    ITN, Linköping University.
    Arvidsson, Per
    ITN, Linköping University.
    Computational real-time sound synthesis of rain2004In: 7th International Conference on Digital Audio Effects DAFX04,2004, Naples, Italy: Federico II University of Naples , 2004, p. 169-Conference paper (Refereed)
  • 24.
    Yang, Li
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Kruse, Björn
    Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Revised Kubelka-Munk theory. II. Unified framework for homogeneous and inhomogeneous optical media2004In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN 1084-7529, Vol. 21, no 10, p. 1942-1952Article in journal (Refereed)
    Abstract [en]

    We extend the applicability of the recently revised Kubelka-Munk (K-M) theory to inhomogeneous optical media by treating inhomogeneous ink penetration of the substrate. We propose a method for describing light propagation in either homogeneous or inhomogeneous layers using series representations for the K-M scattering and absorption coefficients as well as for intensities of the upward and downward light streams. The conventional and matrix expressions for spectral reflectance and transmittance values of optically homogeneous media in the K-M theory are shown to be special cases of the present framework. Three types of ink distribution - homogeneous, linear, and exponential - have been studied. Simulations of spectral reflectance predict a depression of reflectance peaks and reduction of absorption bands characteristic of hue shifts and significant reduction of saturation and, in turn, color gamut.

  • 25.
    Yang, Li
    et al.
    Graphical Technology/Package Printing Group, Department of Chemical Engineering Karlstad University.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Revised Kubelka-Munk theory. III. A general theory of light propagation in scattering and absorptive media2005In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, ISSN 1084-7529, Vol. 22, no 9, p. 1866-1873Article in journal (Refereed)
    Abstract [en]

    A generally applicable theoretical model describing light propagating through turbid media is proposed. The theory is a generalization of the revised Kubelka-Munk theory, extending its applicability to accommodate a wider range of absorption influences. A general expression for a factor taking into account the effect of scattering on the total photon path traversed in a turbid medium is derived. The extended model is applied to systems of ink-dyed paper sheets - mixtures of wood fibers with dyes - which represent examples of systems that have thus far eluded the original Kubelka-Munk model. The results of simulations of the spectral dependence of Kubelka-Munk coefficients of absorption and scattering show that they compare very well with those derived from experimental results. © 2005 Optical Society of America.

  • 26.
    Yang, Li
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Miklavcic, Stan
    Linköping University, The Institute of Technology. Linköping University, Department of Science and Technology.
    Theory of light propagation incorporating scattering and absorption in turbid media2005In: Optics Letters, ISSN 0146-9592, E-ISSN 1539-4794, Vol. 30, no 7, p. 792-794Article in journal (Refereed)
    Abstract [en]

    A general theoretical approach to the description of light propagating through turbid media is proposed. The theory is a modification of the two-flux model of Kubelka-Munk (KM), extending its applicability to media systems containing an absorptive component. The modified KM model takes into account the influence of internal scattering on the total path length and accommodates a wide range of absorption influences. Experimental results obtained for dyed-paper systems illuminated by diffuse light are demonstrated to be qualitatively and quantitatively reproduced by the theory. © 2005 Optical Society of America.

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