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Fast and Stable Solution Method for Angle-Resolved Light Scattering Simulation II - Model Enhancements
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics. (DPC - Digital printing center)ORCID iD: 0000-0002-0529-1009
Responsible organisation
2003 (English)Report (Other academic)
Abstract [en]

This report continues previous work to extensively treat a solution method to the radiative transfer problem. Several enhancements have been made, including handling of multilayer structures, handling of sharply peaked phase functions, and code optimization. The resulting model is referred to as DORT2002, now in version 2.0, and has been implemented in MATLAB using a discrete ordinate model geometry. The introduction of a graphical user interface makes the model easy to use, and any desired simulation is just a button-click away. The main steps to get a numerically stable multilayer solution procedure include the preconditioning of the system of equations for the boundary and continuity conditions, and the avoidance of over- and underflow in the multilayer solution and interpolation formulas. Important are also the recognition of potential divide-by-zero situations, and reformulation of those. Several measures are taken to make the code fast. This includes exploitation of the sparse structure of the system of equations for the boundary and continuity conditions. Several features allow high speed by maintaining accuracy at significantly lower number of channels than would otherwise be needed, or by automatically stopping calculations earlier when certain convergence criteria have been met. Comments are given on possible applications in the paper and printing industries. It is suggested that the Kubelka-Munk model should be replaced with DORT2002 in most applications.

Place, publisher, year, edition, pages
Sundsvall: Mitthögskolan, FSCN , 2003. , p. 45
Series
Rapportserie FSCN, ISSN 1650-5387 ; 2003:17
Series
FSCN-rapport, ISSN R-03-42
Keywords [en]
radiative transfer, solution procedure, numerical stability, light scattering simulation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5533Local ID: 496OAI: oai:DiVA.org:miun-5533DiVA, id: diva2:30566
Available from: 2009-07-09 Created: 2009-07-09 Last updated: 2009-07-30Bibliographically approved

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Edström, Per

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