7 September 2006 Improved Mie theory scatter model for particulate contamination that conserves energy and obeys reciprocity
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Abstract
Particulate contamination scatter is often modeled using Bidirectional Scatter Distribution Functions (BSDFs) based upon Mie scattering by a distribution of spherical particles. Starting with the basic model described in P. R. Spyak and W. L. Wolfe [1,2,3,4], we improve upon it by adding multiplicative geometrical form factors. These factors prevent the Total Integrated Scatter (TIS) from exceeding unity and ensure that reciprocity is always obeyed. Preventing the TIS from exceeding unity is necessary for energy to be conserved in the raytrace, and obeying reciprocity is necessary to obtain consistent results between forward and backwards raytraces. As will be shown, this improved model fits measured data better than the previous model.
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David G. Jenkins, Eric C. Fest, Rex M. Kremer, Paul R. Spyak, "Improved Mie theory scatter model for particulate contamination that conserves energy and obeys reciprocity", Proc. SPIE 6291, Optical Systems Degradation, Contamination, and Stray Light: Effects, Measurements, and Control II, 62910Q (7 September 2006); doi: 10.1117/12.681173; https://doi.org/10.1117/12.681173
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