The radar cross section of the semi-infinite elliptic cone: numerical evaluation

Embedding formulae for scattering by three-dimensional structures

“…Two-dimensional structures such as wedges or half-planes are typically approached using the Sommerfeld integral [2] or the Wiener-Hopf technique [3] and there is a vast literature extracting the far-fields for various canonical scattering geometries. However, in three-dimensions much less has been done, although naturally cones of circular cross-section [4,5] do allow for some simplification and can be approached through Kontorovich-Lebedev transforms; other shapes such as elliptical cross-section cones can also be tackled [6,7] and this includes the degenerate case of a flat cone. General three-dimensional corners and the flat cone (a sector of a plane) can be tackled using an approach pioneered by Smyshlyaev and co-workers [8][9][10].…”

Electromagnetic scattering by a plane angular sector: I. Diffraction coefficients of the spherical wave from the vertex

“…Some recent results and references can be also found in [17,18]. The study of diffraction by a plane angular sector is discussed in the numerous papers [19][20][21][22][23][24][25][26][27][28][29][30], (see also [31,32]). The detailed discussion of the corresponding literature is given in the Introduction of our recent paper [1].…”

Vertex Diffracted Edge Waves on a Perfectly Conducting Plane Angular Sector

“…An efficient numerical evaluation procedure for calculating the radar cross section (RCS) of an elliptic cone was presented in [4]. This procedure is based on using Euler's sequence transformation to accelerate the convergence of the infinite series of eigenfunction expansions.…”