Application of various orthogonal coordinate frames for simulating wave scattering by a group of bodies

A hybrid approach to solving the problem of diffraction by plane screens

“…To verify the correctness of the proposed method, we compared the dependences of the scattering dia gram g(θ, ϕ) (here, (θ, ϕ) are spherical coordinates) of a thin disk with a radius ka = 50 and a highly oblate spheroid with semiaxes ka = 50 and kc = 0.5, where To solve the problem of plane wave diffraction by an oblate spheroid, we used a version of the modified dis crete source method (MDSM) [9,10]. Figure 1 shows the angular dependences of the magnitude of the scat tering diagram for a thin disk (solid curve) and a spher oid (open dots) with the dimensions specified above.…”

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].…”

“…Namely, we have used the spherical, spheroidal, and toroidal coordinates. The use of the appropriate coordinate system allowes us to substantially decrease the dimen sion of the algebraic system to which the diffraction problem is reduced [5,6].…”

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

“…The most simple tensors E ν and H ν are defined in cylindrical coordinates. In order to transform these tensors to the corresponding orthogonal coordinates we use the formula [15,16] …”