About 3D solution of diffraction problems by MMDS

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

“…Sup pose that the space surrounding the lattice is filled by an isotropic and homogeneous medium so that the scattered field outside the lattice satisfies the standard Maxwell equations (2) where k 1 = ς 1 = and k 0 is the wave number in the free space. The field in each element of the lattice satisfies the Maxwell equations…”

“…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].…”