On-surface measured equation of invariance for 2-D conducting scatterings

In the area of electromagnetic scattering computation, a number of fast computation methods have been proposed. The method of the measured equation of invariance (MEI), originally designed to terminate finite difference/element meshes close to the scatterer surface, is now walking into the area of integral equations to generate the sparse matrix by using the reciprocity theorem. We propose a simple approach, the on-surface measured equation of invariance (OSMEI) method, to generate a circle band matrix for solving electromagnetic scattering problems. The OSMEI is used to discretize field components directly on the surface of the scatterer rather than using any integral or differential equation. This can be done because the invariant principle of field's local relation in the MEI method is ingeniously used. A great advantage of the OSMEI over the conventional boundary integration (BI) and differential equation (DF) methods is that the OSMEI generates both the least number of the unknowns and a circle band sparse matrix. So, the computation memory can be greatly reduced, and the computation speed can be dramatically accelerated. Several examples demonstrate that the results of the OSMEI are in excellent agreement with those of analytical solutions and the moment method for scattering of conducting circular and rectangular cylinders.