Lw. Li et al., Electromagnetic radiation of antennas in the presence of an arbitrarily shaped dielectric object: Green dyadics and their applications, IEEE ANTENN, 49(1), 2001, pp. 84-90
Although numerical solutions to the electromagnetic scattering by an arbitr
arily shaped object have been obtained using Waterman's T-matrix method (TM
M), the general electromagnetic radiation due to an antenna of a three-dime
nsional (3-D) current distribution in the presence of an arbitrarily shaped
object has not been well considered. In this paper, the technique of surfa
ce integral equations has been employed; and as a result, a terse and analy
tical representation of the dyadic Green's functions (DGFs) in the presence
of an arbitrarily shaped dielectric object is obtained for the antenna rad
iation. In a form similar to that associated with the electromagnetic radia
tion in the presence of a dielectric sphere, the DGFs inside and outside of
the object of arbitrary shape are expanded in terms of spherical vector wa
ve functions. However, their coefficients are no longer decoupled due to th
e arbitrary surface of a 3-D object. The coupled coefficients are then dete
rmined using the surface integral equation approach, in a fashion similar t
o that in the T-matrix method. To confirm the applicability and correctness
of the approach in this paper, a dielectric sphere, as a special case, is
utilized as an illustration. It is found that exactly the same expressions
as in the rigorous analysis for the inner and outer spherical regions of th
e object are obtained using the different approaches. As applications of th
e approach in this paper, radiation problems of an electric dipole in the p
resence of superspheroids and rotational parabolic bodies are solved.