Paper Info
Title
The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections
Abstract
The problem of diffraction of a plane polarized wave by perfectly conducting cones of arbitrary cross sections is considered. Using the Debye scalar potentials and the Sommerfeld transformation, the exact solution is constructed in the form of Sommerfeld's integrals with the standard phase and the functions on subdomain N of the unit sphere as amplitudes. By investigating Sommerfeld's integrals in a high-frequency approximation using the combination of the stationary phase method and the propagation of singularities of the amplitude analysis, a rather complete description of diffraction processes is obtained. The formulae for the amplitude of the spherical outgoing wave diffracted by the cone's vertex are obtained in terms of spectral characteristics of the Beltrami-Laplace operator on N. Examples are considered to illustrate the proposed approach.
Year
DOI
Venue
1993
10.1137/0153034
SIAM Journal of Applied Mathematics
Keywords
DocType
Volume
electromagnetic wave,arbitrary cross section,high-frequency diffraction,cross section,laplace transform,laplace operator,high frequency,electromagnetic radiation,exact solution,electromagnetic waves
Journal
53
Issue
ISSN
Citations 
3
0036-1399
5
PageRank 
References 
Authors
3.23
0
1
Name
Order
Citations
PageRank
Valery P. Smyshlyaev1106.80