Optical response of blazed and overhanging gratings using oblique chandezon transformations

In this work we present a new oblique transformation technique which allows the modelling of the optical response of highly blazed and overhanging grating surfaces using a differential method. The new technique when implemented as computer code is an order of magnitude faster than the conventional differential method when applied to blazed gratings with no overhang. Applying it to severely blazed overhanging gratings, which cannot be modelled with the conventional approach, yields new insight into an area of grating theory which has previously remained largely unexplored.