Plane-wave scattering by small-angle cones

Author

Felsen, Leopold B.

Author_Institution

Polytechnic Institute of Brooklyn, Brooklyn, NY, USA

Volume

5

Issue

1

fYear

1957

fDate

1/1/1957 12:00:00 AM

Firstpage

121

Lastpage

129

Abstract

Rigorous expressions alternative to the familiar formulas in terms of spherical harmonic series are developed for the scattering of acoustic (and electromagnetic) waves by the tip of a perfectly rigid (or perfectly conducting) semi-infinite cone. For plane wave incidence the expressions are valid for observation points lying in a region excluding the rays which are reflected from the sides of the cone according to the laws of geometrical optics. Approximate closed-form results are obtained for on-axis or off-axis incidence and observation for cones with small apex angle for the acoustical plane wave scattering, and for electromagnetic scattering of incident waves whose electric vector is directed perpendicular to the cone axis. The results are correct to $0(\\phi^{2})$ , where $\\phi$ is the cone apex angle, and agree,for the special case of plane wave back-scattering along the cone axis, with those obtained previously by a different method. The case of diffraction by a spherically tipped cone is also treated.

Keywords

Cones; Electromagnetic (EM) scattering; Acoustic scattering; Acoustic waves; Boundary conditions; Contracts; Differential equations; Diffraction; Electromagnetic scattering; Formal verification; Geometrical optics; Optical scattering;

fLanguage

English

Journal_Title

Antennas and Propagation, IRE Transactions on

Publisher

ieee

ISSN

0096-1973

Type

jour

DOI

10.1109/TAP.1957.1144470

Filename

1144470