Scattering by a Circular Cylinder Buried Under a Slightly Rough Surface: The Cylindrical-Wave Approach

Abstract

An analytical-numerical technique for the scattering problem of a plane wave by a cylinder buried under a rough surface, based on the Cylindrical Wave Approach, is presented. The rough deviations on the interface are dealt with by means of the Small Perturbation Method. Reflection and transmission coefficients are evaluated in a first order approximation, and fields are the sum of a zeroth-order solution, relevant to flat surface, and first-order perturbation fields, associated to the surface roughnesses. Numerical results are obtained through an exact evaluation of the spectral integrals, giving results both in nearand far-field regions, for the case of an interface with sinusoidal profile. The approach is validated through comparisons with the literature, and results showing the effect of geometrical and physical parameters on the scattered field are reported.

Scattering from topological insulator circular cylinder buried in a semi-infinite medium

“…As a first check, we consider θ = 0, the coefficients a p defined in Equation (22) approaches to that of a dielectric cylinder as reported in [15]. Our result shown in Figure 2 has a good agreement with the results given in [15] and [16] confirming the accuracy of the numerical implementation. The parameters used for simulations are…”

Electromagnetic scattering by a circular cylinder buried below a slightly rough Gaussian surface

“…Moreover, Green's function of the rough surface has to be evaluated, with a further increase in the computational cost. In [28,29], a spectral-domain solution to the scattering of a plane-wave by a cylinder buried under a rough surface of infinite extension is found in the frame of cylindrical wave approach (CWA), combined with first-order SPM [12] to model a slightly rough surface. Numerical results are given for the case of a periodic deterministic surface with sinusoidal profile.…”

“…Numerical results are given for the case of a periodic deterministic surface with sinusoidal profile. The theoretical approach is implemented through accurate evaluation of the involved spectral integrals in [28], whereas an asymptotic solution is found in [29]. CWA is an accurate semi-analytical technique developed to deal with scattering problems from buried cylindrical objects.…”

Analysis of Scattering From Three-Dimensional Objects Buried Below a Random Rough Surface by Monte-Carlo MPSTD Method

“…For analyzing the scattering of objects near a random rough surface, analytic methods, numerical and hybrid techniques have been developed. SPM was employed to study scattering by a cylinder buried beneath a slightly rough surface in frequency domain [4,5]. As pointed out in [4], "Analytical solutions, unlike numerical techniques, are unfortunately limited to canonical geometries or small perturbations from a canonical geometry.…”