E. Erez et Y. Leviatan, CURRENT-MODEL ANALYSIS OF ELECTROMAGNETIC SCATTERING FROM OBJECTS CONTAINING A VARIETY OF LENGTH SCALES, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(4), 1994, pp. 1500-1504
Fictitious-current models have been applied extensive in recent years
to a variety of time-harmonic electromagnetic-wave scattering problems
. An extension of the current-model technique is introduced that facil
itates the solution to problems subsuming scatterers that contain a va
riety of length scales. This extension is in tune with the current-mod
el technique's philosophy of using simple current sources whose fields
are analytically derivable. The approach amounts to letting the coord
inates of some of the source centers assume complex values. Positioned
in complex space, the simple current sources radiate beam-type fields
that are more localized and that are better approximations of the sca
ttering from the smooth expanses of the object. The coordinates of the
other source centers retain their conventional real values. These lat
ter current sources are used, of course, to approximate the fields in
the vicinity of the more rapidly varying expanses of the object. We us
e the new approach to analyze electromagnetic scattering by an object
comprising two adjacent perfectly conducting spheres of different size
. We find that it renders the solution computationally more effective
at the expense of only a slight increase in its complexity.