E. Erez et Y. Leviatan, ELECTROMAGNETIC SCATTERING ANALYSIS USING A MODEL OF DIPOLES LOCATED IN COMPLEX-SPACE, IEEE transactions on antennas and propagation, 42(12), 1994, pp. 1620-1624
Fictitious current-models have been applied extensively in recent year
s to a variety of time-harmonic electromagnetic wave scattering proble
ms, This paper is introducing an extension of the current-model techni
que which facilitates the solution to problems subsuming metallic scat
terers whose periphery contains a variety of length-scales features. T
his extension is in tune with the current-model technique philosophy o
f using simple current sources the fields of which are analytically de
rivable. It amounts to letting the coordinates of part of the source c
enters assume complex values, Positioned in complex space, the simple
current sources radiate beam-type fields which are more localized and
are better approximations of the scattering by the smooth expanses of
the structure, The coordinates of the other source centers can retain
their conventional real values or have only a relatively small imagina
ry constituent, These latter current sources are used to approximate t
he fields in the vicinity of the more rapidly varying regions of the s
tructure, The new approach is applied to analyze electromagnetic scatt
ering by a perfectly conducting oblate spheroid. It is found to render
the solution computationally more effective at the expense of only a
slight increase in its complexity.