Kl. Knutson et al., MODELING OF 3-DIMENSIONAL EFFECTS ON TEMPERATURE UNIFORMITY IN RAPID THERMAL-PROCESSING OF 8 INCH WAFERS, IEEE transactions on semiconductor manufacturing, 7(1), 1994, pp. 68-72
A three-dimensional steady-state model of the industry-standard AG Ass
ociates 4108 Heatpulse Rapid Thermal Processing system has been develo
ped for the study of thermal uniformity across 8 inch wafers. The mode
l combines radiation energy transfer among all solid surfaces in the c
hamber with energy transfer among the chamber materials and to the pro
cess ambient. Surfaces included are those of the tungsten filaments of
the lamps, the silicon wafer, the polysilicon annular thermal guard r
ing, the quartz process tube, and the gold reflectors which surround t
he lamps and process tube. These surfaces are divided into approximate
ly 4800 individual surface elements for the radiation transfer allowin
g very accurate thermal analysis. The model has previously been shown
to provide very good agreement with experiment for temperature distrib
utions across an 8 inch wafer. The model is presently used to make qua
ntitative examinations of asymmetric effects occuring in a RTP chamber
which cannot be examined by 2-dimensional models. Situations examined
include the effect of nonuniform lamp power distributions. Also exami
ned is tilting of the wafer with respect to the flow tube and reflecti
ve chamber.