Duality of the IE-MEI method and its application to 2-D perfect conducting scatterers

We show that an integral equation formulation of the measured equation of invariance (IE-MEI) fulfils a duality and the duality is useful to solve the scattering problems of a 2-D object for TM and TE waves incident simultaneously. The duality of the IE-MEI is derived naturally from the formulation of the IE-MEI. From the formulation, we have found that the application range of the IE-MEI method is very wide: it can treat scattering problems for perfect electric conductors (PEC), lossy materials and lossless materials. The excitation source can be near or far from the scatterer. In the IE-MEI method, there exists an efficient computational algorithm using sparse matrices. We show the validity of the algorithm by numerical examples of a circular and a square PEC cylinders illuminated by a TM and a TE plane waves.