Analysis of Two-dimensional Scattering by a Periodic Array of Conducting Cylinders Using the Method of Auxiliary Sources

Abstract

A linear array constituted by a finite number of conducting cylinders is modelled via the conventional method of auxiliary sources (MAS). Initially, the global coupling relating cylinders permits the near and far fields calculation. Finally, taking into account partial coupling describing neighbouring cylinders leads to a partially filled matrix, so therefore the computational cost is significantly reduced. Global and partial coupling reveals the same results for the chosen arrays.

Scattering by Multilayered Structures Using the Extended Method of Auxiliary Sources Emas

“…The EMAS is alleviated when we neglect the electromagnetic fields for further AS bases from the considered boundary, leading the matrix simplification by increasing the zeros [14].…”

“…The main idea here is to subdivide the inhomogeneous structure in finite, homogeneous, recovered and strongly coupled mediums [14][15][16]. For each boundary, the sum of the radiated electromagnetic fields by the overall upper different auxiliary sources bases and the lower ones satisfies the tangential continuity condition leading to a linear system.…”

Optimization of the Method of Auxiliary Sources for 3d Scattering Problems by Using Generalized Impedance Boundary Conditions and Level Set Technique

“…The standard placement of the auxiliary sources is based on empirical conventions and on the caustic hypothesis. As a result, the optimal distribution of the auxiliary sources, for a predefined accuracy is achieved by try-anderror processes or by determining the corresponding caustic surfaces [8,[21][22][23][24]. These approaches are analytically feasible only when treating problems with canonical geometries (sphere, ellipsoid or infinite plan .…”

Scattering by Jacket Structures Analysis via the Extended Method of Auxiliary Sources Emas

“…The interior one operates outside the cylinder and the exterior one inside [9], knowing that the auxiliary sources are the particular solutions of Helmholtz equation [10].…”

“…The foremost contribution here is to subdivide the inhomogeneous structure in finite, homogeneous, recovered and strongly coupled mediums [11][12][13]. For each inclusion boundary, the sum of the radiated electromagnetic fields by the overall inner different auxiliary sources bases inclusions and the outer host cylinder ones satisfies the tangential continuity condition leading to a linear system.…”