Assessment of the mean and variance of the random regular transmittance through a dispersion of large cylinders using numerical simulations
2008 (English)In: Applied Optics, ISSN 0003-6935, E-ISSN 1539-4522, Vol. 47, no 7, 993-1001 p.Article in journal (Refereed) Published
In two previous papers [J. Opt. Soc. Am. A 15, 1698 (1998); J. Opt. Soc. Am. A 16, 2737 (1999)] the theory of fluctuations in the regular transmittance T through a bowing dispersion of large slender cylindrical particles was presented. The theory covers, among other things, expressions for the expected value AT and the variance sigma(2)(T) of T in the two extreme cases when the cylinders are much shorter or much longer than the diameter of the optical beam used. Intermediate lengths were not treated. Numerical simulation is used to demonstrate the random behavior of T for intermediate cylinder lengths. The simulation results are consistent with the theory and provide a reliable estimate of the measurements produced by this analysis process. The result of the simulation is summarized as a fitted Bezier function model. The advantage of the simulation lies primarily in estimating measurement errors caused by the presence of intermediate length particles in measurement applications.
Place, publisher, year, edition, pages
2008. Vol. 47, no 7, 993-1001 p.
Production Engineering, Human Work Science and Ergonomics
IdentifiersURN: urn:nbn:se:kth:diva-19424ISI: 000254674000016OAI: oai:DiVA.org:kth-19424DiVA: diva2:337582
QC 201008062010-08-062010-08-062010-08-06Bibliographically approved