Loading...
Please wait, while we are loading the content...
Similar Documents
Paired Pulse Basis Functions for the Method of Moments EFIE Solution of Electromagnetic Problems Involving Arbitrarily-shaped, Three-dimensional Dielectric Scatterers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mackenzie, Anne I. Rao, Sadasiva M. Baginski, Michael E. |
| Copyright Year | 2007 |
| Abstract | Abstract — A pair of basis functions is presented for the surface integral, method of moment solution of scattering by arbitrarily-shaped, three-dimensional dielectric bodies. Equivalent surface currents are represented by orthogonal unit pulse vectors in conjunction with triangular patch modeling. The electric field integral equation is employed with closed geometries for dielectric bodies; the method may also be applied to conductors. Radar cross section results are shown for dielectric bodies having canonical spherical, cylindrical, and cubic shapes. Pulse basis function results are compared to results by other methods. Index Terms — electromagnetic scattering, basis functions, method of moments, dielectric, conducting, EFIE. I. I NTRODUCTION This work extends the use of a pair of orthogonal basis functions introduced in [1] for the determination of surface currents on a three-dimensional, arbitrarily-shaped electromagnetic scatterer. In [1], a solution method was demonstrated for perfect electric conductors (PEC) using unit pulse basis vectors; in this work, the method is further developed to include dielectric bodies. Rao, Wilton, and Glisson (RWG) developed the RWG basis functions for method of moments (MoM) conducting body solutions in conjunction with triangular patch surface modeling [2]. Numerous other basis functions have been used for MoM solutions, including rooftop [3], wavelet [4], and Trintinalia-Ling [5] functions for specialized applications. However, for “all-purpose” modeling of arbitrarily-shaped, three-dimensional scatterers, the RWG basis functions remain in very wide usage. We propose that for lossy dielectric or dielectric (material) bodies, a pair of orthogonal basis functions should be more suitable in that the basis functions represent equivalent surface electric and magnetic currents also defined as orthogonal to each other in each triangular patch. Improved solution reliability and accuracy should result from orthogonal basis functions, which produce strongly diagonal, well conditioned impedance matrices. In addition, the pulse basis vector functions are particularly simple in concept and in definition, which makes them attractive to explore. Orthogonal pulse basis functions are easier to implement in code than, for example, ° RWG basis functions [6], defined as the unit outward normal vector. The paired pulse basis vector solution method may be extended to include collections of scatterers, composite dielectric/conducting bodies, or bodies composed of numerous regions of constant permittivity and permeability. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20070021455.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
