Particle distribution from spectral Mie-scattering: kernel representation and singular-value spectrum

  • This paper deals with the Mie scattering kernels for multi-spectral data. The kernels may be represented in form of power series. Furthermore, the singular-value spectrum and the degree of ill-posedness in dependence on the refractive index of the particles are numerically approximated. A special hybrid regularization technique allows us to determine via inversion the particle distributions of different types.

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Author:A. A. Mekler, Christine Böckmann, N. Sokolovskaia
Series (Serial Number):NLD Preprints (paper 058)
Document Type:Preprint
Year of Completion:2000
Publishing Institution:Universität Potsdam
Release Date:2007/08/15
Organizational units:Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC Classification:45-XX INTEGRAL EQUATIONS / 45Bxx Fredholm integral equations / 45B05 Fredholm integral equations
45-XX INTEGRAL EQUATIONS / 45Fxx Systems of linear integral equations / 45F05 Systems of nonsingular linear integral equations
65-XX NUMERICAL ANALYSIS / 65Rxx Integral equations, integral transforms / 65R30 Improperly posed problems
86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A10 Meteorology and atmospheric physics [See also 76Bxx, 76E20, 76N15, 76Q05, 76Rxx, 76U05]
86-XX GEOPHYSICS [See also 76U05, 76V05] / 86Axx Geophysics [See also 76U05, 76V05] / 86A22 Inverse problems [See also 35R30]