title: Simple parameterized coordinate transformation method for deep- and smooth-profile gratings.
abstract: A simple variable transformation that consists of two joined straight-line segments per grating period is proposed for the parameterized coordinate transformation method (the C method). With this bilinear parameterization, the C method can produce convergent numerical results for gratings of deep and smooth profiles with a groove depth-to-period ratio as high as 10, which to date has been far out of reach of the C method. The danger of getting divergent results due to inadvertently using an overly large truncation number is also practically eliminated.
authors.forename: Xihong
authors.initials: X
authors.lastname: Xu
authors.forename: Lifeng
authors.initials: L
authors.lastname: Li