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The adding-doubling method can be used to determine the reflection and transmission characteristics of fluorescent materials. In this work, the method was adapted to allow the implementation of fluorescent particles with a significant overlap between excitation and emission spectrum. The proposed method was validated by comparing its results to the simulation results of traditional Monte Carlo ray tracing. The average difference over the visible wavelength range between the two methods was found to be smaller than 0.5%. The proposed adding-doubling method was adapted for the simulation of a blue light-emitting diode with a remote phosphor converter containing YAG:Ce phosphor. It was shown that it is important to take the spectral overlap between excitation and emission spectrum into account to determine the colour characteristics with sufficient accuracy.

Modelling Fluorescent Materials with a Spectral Overlap between Excitation and Emission Spectrum