A method of moments solution for electromagnetic scattering by inhomogeneous dielectric bodies of revolution

Electromagnetic scattering by partially inhomogeneous dielectric bodies of revolution

“…Thus, instead of Eqs. (5)- (7) and (10)- (12), we use their counterparts for a given azimuthal mode m [2,3,6]. In the subsequent formulas, we assume that the azimuthal dependence of those quantities is described by the e jm factor, which is suppressed in the notation.…”

“…where two types of basis functions introduced in [6] have been used to represent the -and z-directed fields. As shown in Figure 5, both types of basis functions are defined of neighboring rectangles.…”

“…5). For volume sources, however, it is convenient to take the electric flux density D as the unknown [5,6]. To approximate D over the (, z) plane, we first divide T into elementary rectangles (Fig.…”

“…For homogeneous bodies, or bodies composed of a relatively small number of homogeneous regions, the surface-equivalence principle is applied and the problem is described with the use of surface electric and/or magnetic currents standing for unknowns in surface integral equations (SIE) [2][3][4]. The other formulation replaces an inhomogeneous dielectric with the volume-polarization current, thus satisfying volume integral equation (VIE) [5,6]. The serious drawback of the second Figure 2 Normalized phase velocity of ADI-FDTD(2,4) and compact ADI-FDTD method for different mesh sizes method is the necessity of performing the integration of the proper Green's functions over the volume elements in order to fill the moment matrix.…”

A Numerical Analysis of a Dipole Antenna in the Vicinity of a Homogeneous Bi-Isotropic Object

“…Because of good accuracy that it can provide, it has been used to develop many numerical solutions in various scenarios. We can find the MoM based numerical solutions for conducting bodies of revolution [7], dielectric three-dimensional (3-D) bodies [8], and 3-D bodies of revolution [9,10]. Urged by the requirement of numerical solution for unconventional materials, the solution for electromagnetic scattering from 3-D chiral bodies is developed by Worasawate et al [11], from 3-D inhomogeneous chiral bodies by Hasanovic et al [12], and from a chiral body of revolution by Yuccer et al [13].…”