Ac. Brown et Wk. Kahn, COMPARISON OF VARIOUS IMAGE INDUCTION .2. METHODS WITH PHYSICAL OPTICS (PO) FOR THE FAR-FIELD COMPUTATION OF FLAT-SECTIONED SEGMENTED REFLECTORS, IEEE transactions on antennas and propagation, 44(8), 1996, pp. 1133-1141
Kottler's extension of Kirchhoff's diffraction integral to electromagn
etic fields yields the copolarized and cross-polarized fields of segme
nted reflectors, For flat sections, the Maggi-Rubinowicz potential can
be used to transform Kottler's surface integral into a line integral
resulting in an expression composed entirely of line integrals, Comput
ation is simplified by the use of the Asvestas potential which elimina
tes the need to compute a geometrical optics term required by the orig
inal Maggi-Rubinowicz potential, In computing far fields, a further si
mplification is realized by considering the antenna in reception rathe
r than in transmission as an involved dyadic potential is then replace
d by a simple vector potential, This is an exact-analysis method in th
e context of the image-induction model which, in theory, provides resu
lts which are very close to the physical optics (PO) model for the tra
nsmitting antenna, An approximate closed-form method is obtained by ap
plying the Gordon transform to Silver's vector far held equations.