Efficient higher order MoM-VIE/MoM-SIE/diakoptics computation of scattering from finite arrays of arbitrary dielectric objects

The method of moments (MoM) has been established as a powerful general tool for discretizing integral equations arising in numerical analysis of radiating and scattering structures. In MoM techniques based on the volume integral equation (VIE) approach, a structure is represented by a distribution of unknown volume polarization and conduction currents radiating in free space. MoM techniques based on the surface integral equation (SIE) approach treat electric and magnetic equivalent surface currents as unknowns in the numerical process. However, one general way to enhance the practical applicability and efficiency of both the MoM-VIE and MoM-SIE techniques is by means of the diakoptic method (E. Chobanyan, D. I. Olcan, M. M. Ilic, and B. M. Notaros, “Combining Diakoptic, VIE-MoM, and SIE-MoM Approaches in Analysis of Dielectric Scatterers,” Proc. 2013 IEEE Antennas and Propagation Society International Symposium).