Method of simultaneous lithography and etch correction flow

A method of mask correction where two independent process models are analyzed and co-optimized simultaneously. In the method, a first lithographic process model simulation is run on a computer system that results in generating a first mask size in a first process window. Simultaneously, a second hard mask open etch process model simulation is run resulting in generating a second mask size in a second process window. Each first lithographic process model and second hard mask open etch process model simulations are analyzed in a single iterative loop and a common process window (PW) optimized between lithography and etch is obtained such that said first mask size and second mask size are centered between said common PW. Further, an etch model form is generated that accounts for differences in an etched pattern due to variation in three-dimensional photoresist profile, the model form including both optical and density terms that directly relate to an optical image.