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Retrieval of particle size distribution function from optical measurements using the downhill simplex method

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Abstract

The determination of particle size distribution p(r)m, σ, r) (r= particle dimension, rm= <r>, σ = <r2>) from scattering/extinction data that can be expressed as has long been investigated and several methods have been developed. The downhill simplex is a nonlinear curve fitting technique which, by assuming a suitable two-parameter distribution f(rm, σ, r), evaluates the distribution at any three sets of (rm, σ) and then changes the parameters in a special way until q, the deference between trial data t = K·f and s = K·p reaches minimum.

© 1991 Optical Society of America

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