Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls

• Published in: IMA journal of applied mathematics Vol. 75; no. 5; pp. 676 - 719
• Main Authors: Lyalinov, M. A., Zhu, N. Y., Smyshlyaev, V. P.
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.10.2010
• Subjects: Asymptotic properties; Circular cones; Diffraction; functional difference equations; Integral equations; Integrals; Mathematical analysis; Mathematical models; numerical evaluation of the vertex diffracted wave; Plane waves; Representations; semi-transparent cone; the far-field asymptotics

We study electromagnetic plane wave diffraction by a hollow circular cone with thin walls modelled by the so-called impedance-sheet boundary conditions. By means of Kontorovich–Lebedev integral representations for the Debye potentials and a ‘partial’ separation of variables, the problem is reduced t...