Conventional Differential Method Research Articles

Differential formulation of on-surface measured equation of invariance for 2-D conducting scatterings

In this letter formulations of on-surface measured equation of invariance (OSMEI) method for two-dimensional (2-D) conducting scatterings are derived from scalar wave equations rather than integral equations. At the same time, the MEI equations for TM and TE cases are proved to be same. As long as one of the MEI equations of the above two cases is found, the MEI equation of another case is automatically given. A great advantage of the OSMEI method over the conventional boundary integration or differential equation method is that the OSMEI can solve conducting scattering problems efficiently. Examples of conducting circular and rectangular cylinder scatterings for both TM and TE case show that results of the OSMEI are in excellent agreement with those of the method of moments (MoM).

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.