Mi. Larsson et Gv. Hansson, METHOD TO CALCULATE SUBSTRATE-TEMPERATURE DURING INTERMITTENT RADIANTHEATING IN VACUUM, Journal of vacuum science & technology. A. Vacuum, surfaces, and films, 11(3), 1993, pp. 732-735
We have developed a method to determine the time dependent temperature
of intermittently radiation-heated substrates for epitaxial growth of
Si in ultrahigh vacuum. The method is particularly useful during the
time intervals of growth when a pyrometer cannot be relied on, e.g., d
ue to light reflection from the substrate surface. The use of a thermo
couple is not possible due to slow response and risk for contamination
. The model has been derived by applying Stefan-Boltzmann's law and th
e fact that heat radiation is the dominating energy transport mechanis
m in the studied system for the actual substrate temperatures and time
constants. The vertical temperature gradient through the substrate wa
s estimated to be at most of the order of 100 K m-1.