“The laser-induced incandescence (LII) signal is proportional to soot volume fraction” is an often used statement in scientific
papers, and it has – within experimental uncertainties – been validated in comparisons with other diagnostic techniques in
several investigations. In 1984 it was shown theoretically in a paper by Melton that there is a deviation from this statement
in that the presence of larger particles leads to some overestimation of soot volume fractions. In the present paper we present
a detailed theoretical investigation of how the soot particle size influences the relationship between LII signal and soot
volume fraction for different experimental conditions. Several parameters have been varied; detection wavelength, time and
delay of detection gate, ambient gas temperature and pressure, laser fluence, level of aggregation and spatial profile. Based
on these results we are able, firstly, to understand how experimental conditions should be chosen in order to minimize the
errors introduced when assuming a linear dependence between the signal and volume fraction and secondly, to obtain knowledge
on how to use this information to obtain more accurate soot volume fraction data if the particle size is known.
PACS 42.62.-b; 44.40.+a; 61.46.Df; 78.70.-g; 65.80.+n