“…Since the mid-1980s, a number of advances have been made, particularly: 1) in the area of new physical conditions, such as for high NA situations [43]- [46], [25], which involves the inherent vector propagation of electromagnetic radiation [47], [48]; 2) the very significant advances in numerical methods, such as enabling 3-D solutions over nonplanar topographies [33], [35] for tackling "reflective notching" problems; and 3) the characterizations of new photoresist chemistries [49], [50], [1] and optical conditions [51], [52]. Regarding 3), new photoresist materials and processes were developed, such as negative, silylated, and chemically amplified photoresists, 1 all requiring new simulation models and capabilities.…”