Mathematical model of spin-coated photoresist on a spherical substrate.
We present the final film thickness' expression of spin-coated photoresist on a spherical substrate. Firstly, some reasonable assumptions are put forward for a concise derivation process. Then, on the basis of the motion equation of spin-coated photoresist on a plane, considering the spherical surface shape, we put forward the motion equation of spin-coated photoresist on a spherical substrate. So two evolution equations of film thickness and radial position are derived, and the expression of initial film thickness evolution in a radial position is also gained. Finally, considering some effects of solvent volatilization, we gain the expression of final film thickness. The experiment result indicates that the expression is accurate.
Feng
Xiao-Guo
XG
Sun
Lian-Chun
LC