Performance and application of the DORT2002 light scattering simulation model

• Models for calculating the light intensity inside an illuminated turbid medium, e.g. paper, involve several numerical challenges, and are crucial for the paper and printing industries. DORT2002 is a fast and numerically stable solution procedure for this problem, which has been implemented in MATLAB. This report studies the performance and application of DORT2002, and is the documentation of an extensive test series. All major steps that are taken to improve stability and speed of DORT2002 are discussed, and the resulting improvements are illustrated. Comparison of accuracy, applicability and speed between DORT2002 and three other models when applied to different sets of relevant test problems is covered. The performance tests show that the steps that are taken to improve stability and speed of DORT2002 are very successful, together giving an unconditionally stable solution procedure to a problem previously considered numerically intractable, and together decreasing computation time with a factor 1 000-10 000 in typical cases and with a factor up to and beyond 10 000 000 in extreme cases. Further investigations and developments are suggested, that can have a large positive impact on computation time. The application tests show very good agreement with three other model types. DORT2002 is shown to have better accuracy and much larger range of applicability than Kubelka-Munk, and to be much faster than Grace in relevant test cases. It is also shown that DORT2002 and Grace have good agreement, and that the agreement between the results from DORT2002 and DISORT  which is claimed to be the finest radiative transfer software available - is very good without exception, which gives strong support for the accuracy of DORT2002. The conclusion is that Kubelka-Munk should be replaced with DORT2002 for most applications, and that a combination of Grace and DORT2002 should be used for accurate modeling of paper and print.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

numerical stability

speed

MATHEMATICS

MATEMATIK

Publikations- och innehållstyp

vet (ämneskategori)

rap (ämneskategori)