Wh. Yu et al., On the solution of a class of large body problems with full or partial circular symmetry by using the finite-difference time-domain (FDTD) method, IEEE ANTENN, 48(12), 2000, pp. 1810-1817
This paper presents an efficient method to accurately solve large body scat
tering problems with partial circular symmetry. The method effectively redu
ces the computational domain from three to two dimensions by using the reci
procity theorem. It does so by dividing the problem into two parts: a large
r 3-D region with circular symmetry, and a smaller 2-D region without circu
lar symmetry. An finite-difference time-domain (FDTD) algorithm is used to
analyze the circularly symmetric 3-D case, while a method of moments (MoM)
code is employed for the nonsymmetric part of the structure. The results of
these simulations are combined via the reciprocity theorem to yield the ra
diation pattern of the composite system. The advantage of this method is th
at it achieves significant savings in computer storage and run time in perf
orming an equivalent 2-D as opposed to a full 3-D FDTD simulation, In addit
ion to enhancing computational efficiency, the FDTD algorithm used in this
paper also features one improvement over conventional FDTD methods: a confo
rmal approach for improved accuracy in modeling curved dielectric and condu
ctive surfaces, The accuracy of the method is validated via a comparison of
simulated and measured results.