**Fluorescent transfer of light in dyed materials**

**S.D. Howison and R.J. Lawrence**

**Abstract: **A brief review is given for some mathematical aspects
of human colour perception and of a standard method for computing the
colour of a dyed material. This paper describes an extension of this method
to incorporate fluorescent transfer of light between wavelengths and gives
an algorithm for the analysis of the discrete case in which this transfer
occurs at a finite number of wavelengths. Then, a continuum model is
formulated in which transfer may occur from any wavelength to any longer
wavelength, and this leads to the question of determining the coefficients
in an integrodifferential equation from knowledge of its solutions; it is
solved by an algorithm derived from that in the discrete case.

**Keywords: **Flourescence, radiative transfer, color matching,
Kubelka-Munk

**AMS subject classification: ** 34A55, 78A99

**Length: **12 pages

**Reference: *** SIAM J. Appl. Math. ***53 ** (1993) 447-458.
MR1212759 (93k:92013)

*Last updated on September 4th, 1996.*

ruthel@math.huji.ac.il