A mathematical model of extrapolating percent depth dose (PDD) was presented according to the principle of interaction between X-ray and water. The difference of extrapolated PDD by the model and measured PDD by 3D radiation field analizer is very small. For fields of different sizes within 20cm depth
the maximum absolute difference is 0.006×100% and the maximum relative difference is 1.1%. With the mathematical model
appropriate PDD values for different field sizes can be abtained without 3D radiation field analyses.