Ps. Kildal et al., ANALYSIS OF NEARLY CYLINDRICAL ANTENNAS AND SCATTERING PROBLEMS USINGA SPECTRUM OF 2-DIMENSIONAL SOLUTIONS, IEEE transactions on antennas and propagation, 44(8), 1996, pp. 1183-1192
This paper presents a powerful method to analyze antennas which can be
considered principally two-dimensional (2-D) or cylindrical, except f
or some three-dimensional (3-D) physical or equivalent sources, e.g.,
dipoles or slots, It is shown by Fourier transform techniques that suc
h antennas can be analyzed as 2-D problems with harmonic longitudinal
field variation, The radiation pattern can often be determined directl
y from a finite set of such 2-D solutions, each one obtained by any me
thod, e.g., the moment method, The mutual interaction between the cyli
ndrical scatterer and the sources must be calculated to determine the
exact current distribution on the sources and their impedances or admi
ttances, This is facilitated by performing an inverse Fourier transfor
m of an infinite spectrum of the numerical 2-D solutions followed by a
moment method solution in the spatial domain to satisfy the boundary
conditions on the 3-D equivalent sources themselves, The inverse Fouri
er transform is simplified by the use of asymptote extraction, The met
hod is in itself a hybrid technique as one method is used to solve the
harmonic 2-D problem, and the other to solve for the source currents.