Electromagnetic scattering analysis of coated conductors with edges using the method of auxiliary sources (MAS) in conjunction with the standard impedance boundary condition (SIBC)

Error Estimation of the Method of Auxiliary Sources (Mas) for Scattering From an Impedance Circular Cylinder

“…The dielectric is assumed to be linear, homogeneous and isotropic. The composite structure can be modeled in a compact way, by invoking the Standard Impedance Boundary Condition (SIBC) [8,13]. Although the SIBC accuracy is limited by several mathematical conditions [13], which will be met in this work, it has demonstrated a surprisingly good behavior, even when several of these conditions are violated [13].…”

“…To construct the MAS solution [1][2][3][4][5][6][7][8], a fictitious auxiliary surface S is defined, conformal to the actual boundary S, hence with a circular cross section of radius a < b. A number of N AS's, in the form of elementary electric currents, are located on S , each one of which radiates an elementary electric field, proportional to the twodimensional Green's function.…”

“…The Method of Auxiliary Sources [1], (also known as the Method of Fundamental Solutions [2][3][4] or the Multifilament Current Model [5,6]), has successfully been applied to a wide variety of radiation and scattering problems [7], including coated conducting bodies [8]. Nevertheless, MAS is still not as popular as the Moment Method (MoM), due to its limited robustness, which is rooted in the ambiguity associated with the location of the Auxiliary Sources (AS's).…”

“…Given the well-known applicability of MAS also to non-metallic scatterers [5,7,8], the purpose of this paper is the extension of the results in [9,10] to impedance circular cylinders, again on the basis of eigenvalue analysis and matrix diagonalization. This study is important, since coated structures occur very frequently in real life scattering phenomena (e.g., paint on an aircraft fuselage illuminated by a RADAR), whereas the mathematical analysis is based on a different boundary condition, and is therefore not identical to the PEC case.…”

Method of auxiliary sources for calculating the magnetic and electric fields induced in a layered Earth

“…(5) and (6) (Shubitidze et al, 2002a, b;Anastassiu et al, 2002, and references therein). For high-frequency scattering and excitation problems these distances must enclose the scattered ÿeld singularities possessed by analytical continuation of the scattered ÿeld inside the object (Shubitidze et al, 2002a;Anastassiu et al, 2002, and references therein). However, these rules did not apply in the low-frequency electromagnetic induction problem.…”