Simulation of wave scattering by a group of closely spaced bodies

Application of modified method of discrete sources for solving a problem of wave diffraction on a multilayered body of revolution

“…To approximate the cylinder axial section we use the superellips. Note that in previous works we used spherical coordinates to construct the auxiliary surface [9][10][11]. In this paper we use flattened spheroidal coordinates to solve the diffraction problem.…”

“…The paper considers the vector problem of diffraction of a plane wave on a multilayered magnetodielectric body of revolution. To solve the problem we use a modified method of discrete sources (MMDS) which has previously been successfully applied to the solution of a wide class of problems, in particular to diffraction on an impedance single body [9], on a group of coaxial bodies of revolution [10,11], on a body of revolution with chiral covering [12] etc. There are two ideas distinguishing MMDS from other versions of discrete sources method.…”

“…The parameters δ 7 p are positive or negative as it takes place in the standard MMDS [9][10][11][12]. One can get the Cartesian coordinates of the point at the auxiliary surface from the relations…”

Two approaches to the solution of the problem of diffraction by a plane grating of dielectric bodies of revolution

“…OF INTEGRAL EQUATIONS We solve the formulated problem using the auxil iary current method that hereinafter is reduced to the MMDS [1][2][3][4][5][6]. To this end, we represent the wave field outside the region of the grating and inside the central elements of the grating as …”

“…This problem is rather complicated to be realized numerically because the geometry has no axial symmetry. The problem is solved here using the modified method of discrete sources (MMDS) [1][2][3][4][5][6]. The close problem of diffraction of a plane wave by a plane grating of impedance bodies of revolution was earlier considered in [4].…”