Electric Field Integral Equations for Electromagnetic Scattering Problems With Electrically Small and Electrically Large Regions

A Practical Guide to 3D Electromagnetic Software Tools

“…Even if the number of unknowns in these cases is still below the number of unknowns for differential equation techniques, the dense coupling matrix of the IE-MoM technique requires much higher computational resources and in practice prohibits its use. This drawback may be partially overcome by developing special techniques, taking into account the specificities of different regions [11], but their implementation and application in the case of planar antennas is still in its infancy. Since the number of unknowns is proportional to the volume and the resolution considered, differential equation methods are particularly suitable for modeling small full threedimensional volumes that have complex geometrical details, for example smaller closedregion problems involving inhomogeneous media [12].…”

A new equivalent circuit extraction method for quasi-static regions

“…Also, for the calculations in Figure 2 b) QUICNEC had a computation time of 6 minutes and Mininec had a much shorter computation time of <1 second. It should also be mentioned that a problem with a quasi-static region that represents an inductor similar to the one in [1] has also been evaluated successfully and will be shown at the time of presentation. …”

“…Recently, numerically stable electric field integral equations (EFIE) were developed [1] to evaluate electromagnetic scattering problems that may contain both electrically small geometrically complex and electrically large regions. Although the EFIE derived in [1] have shown improvements in computational efficiency it has been noticed by Olsen [2] that problems with a large number of quasi-static regions can take a significant amount of time to evaluate.…”

“…Although the EFIE derived in [1] have shown improvements in computational efficiency it has been noticed by Olsen [2] that problems with a large number of quasi-static regions can take a significant amount of time to evaluate. This has led to some development of modeling these quasi-static regions with equivalent circuits [1], [2]. These equivalent circuits can then be defined in efficient fast full-wave solvers that do not evaluate complex dielectric regions such as Mininec [3].…”

“…It should be noted that the field values in (2) are far-field values. Next, we use the new EFIE in[1] to evaluate the three scattering problems associated with E 1 , E o and E s . To do this a moment method (MOM) based graphical user's interface (GUI) was developed in Matlab to evaluate axially symmetric problems[1].…”