Electromagnetic scattering from both finite semi-circular channels and bosses in a conducting plane: TM case

Abstract

The behavior of TM-wave scattering from both semi-circular channels and bosses in a conducting plane is investigated. The scattered field is represented in terms of an infinite series of radial modes with unknown coefficients. By applying separation of variables and employing the partial orthogonality of sine functions, the unknown coefficients are obtained. The boundary conditions are checked for semi-circular channels and bosses to verify the algorithm proposed. Plotted results for the radar cross sections reveal how the scattering properties may be varied by changing several physical and geometrical parameters of the structures.

High-order integral equation methods for problems of scattering by bumps and cavities on half-planes

“…(Note that although in the latter case L and M are smooth functions, these functions are in fact nearly singular, for t near the endpoints of the parameter interval (0, 2π) for the curve x, and for τ around the corresponding endpoint of the parameter interval for the curve y.) Letting K denote one of the integral kernels L or M in equation (19), in view of the discussion above K may be expressed in the form K(t, τ ) = K 1 (t, τ ) log r 2 (t, τ )+K 2 (t, τ ) for smooth kernels K 1 and K 2 . For a fixed t then, there are two types of integrands for which high-order quadratures must be provided, namely integrands that are smooth in (0, 2π) but have singularities at the endpoints of the interval (that arise from corresponding singularities of the densities φ at the endpoints of the open curves; cf.…”

“…Related semi-analytical separation-of-variables solutions are available for other simple configurations, such as semi-circular cavities and rectangular bumps and cavities (e.g. [8,9,13,19,24,23,25,31,32,39] and references therein), while solutions based on Fourier-type integral representations, mode matching techniques and staircase approximation of the geometry are available for more general domains (e.g. [5] and references therein).…”

Electromagnetic scattering by a circular cavity of arbitrary shape placed in a perfect electric conductor

“…The methods mentioned in Ref. [9][10][11][12][13][14][15] have been developed for semi-circular and shallow circular cavities, and therefore they are not a general method that can be utilised for variants of circular cavities. In addition to the described approaches, meshing methods such as the finite element method (FEM) and MoM may also be used to analyse scattering from circular cavities.…”

“…In this paper, an efficient method based on the modal expansion technique is developed to determine the scattered wave from a circular cavity of arbitrary shape. This meshless technique is more time-efficient than fully numerical methods such as FEM and MoM and does not have the limitations of the methods proposed in [9][10][11][12][13][14][15].…”

“…In recent years, various efficient techniques have been developed for the problem of the scattering by gaps and cavities to improve both accuracy and speed of simulations [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In line with previous studies conducted on scattering from open cavities, we study the problem of the scattering from a circular cavity of arbitrary shape subjected to a plane wave of arbitrary polarisation.…”