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Efficient Reflectance Calculations and Parameter Estimation Methods for Radiative Transfer Problems in Paper Industry Applications
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics. (FSCN - Fibre Science and Communication Network)ORCID iD: 0000-0002-0529-1009
Responsible organisation
2007 (English)Report (Other academic)
Abstract [en]

Very fast code for standardized d/0° reflectance calculations and an efficient Gauss-Newton parameter estimation method are introduced into the radiative transfer based light scattering simulation tool DORT2002, which makes it competitive in paper industry applications. Outstanding problems in general radiative transfer theory are addressed in a paper industry application. The parameter estimation problem is given a least-squares formulation, different solution methods are evaluated, some characteristics of the problem are found, and the sensitivity of the solution is analyzed. Tests show that Gauss-Newton type methods are most suitable for the studied parameter estimation problem; superior performance was shown with respect to both robustness and speed. The parameter estimation problem is shown to be non-trivial and sometimes ill-conditioned. The type of analyses made in this work give good insight in the character of the problem, and similar studies will be valuable in the future design of measurements and parameter estimation methods when using angle-resolved measurements to estimate also the asymmetry factor.

Place, publisher, year, edition, pages
Sundsvall: FSCN, Mittuniversitetet , 2007.
Series
Rapportserie FSCN, ISSN 1650-5387 ; 2007:40
Series
FSCN-rapport ; R-07-68
Keywords [en]
parameter estimation, radiative transfer, light scattering, paper industry applications
National Category
Mathematics Other Engineering and Technologies
Identifiers
URN: urn:nbn:se:miun:diva-5933Local ID: 4893OAI: oai:DiVA.org:miun-5933DiVA, id: diva2:30966
Available from: 2009-07-09 Created: 2009-07-09 Last updated: 2009-09-24Bibliographically approved

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Edström, Per

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CiteExportLink to record
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Citation style
  • apa
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