Electromagnetic Scattering From Arbitrarily Shaped Dielectric Bodies Using Paired Pulse Vector Basis Functions and Method of Moments

Abstract

A pair of orthogonal pulse vector basis functions is demonstrated for the calculation of electromagnetic scattering from arbitrarily-shaped material bodies. The basis functions are intended for use with triangular surface patch modeling applied to a method of moments (MoM) solution. For modeling the behavior of dielectric materials, several authors have used the same set of basis functions to represent equivalent electric and magnetic surface currents. This practice can result in zero-valued or very small diagonal terms in the moment matrix and an unstable numerical solution. To provide a more stable solution, we have developed orthogonally placed, pulse basis vectors: one for the electric surface current and one for the magnetic surface current. This combination ensures strongly diagonal moment matrices. The basis functions are suitable for electric field integral equation (EFIE), magnetic field integral equation (HFIE), and combined field formulations. In this work, we describe the implementations for EFIE and HFIE formulations and show example results for canonical figures.Index Terms-Basis functions, boundary integral equations, conducting materials, dielectric materials, electromagnetic scattering, method of moments (MoM).

PSO/DE combined with simulation current method for the magnetic field under transmission lines in 3D calculation model

“…The area with high magnetic induction intensity under the line is concentrated in x = [220,20]. The value of other regions is very small due to the sharp decrease of magnetic induction intensity, so the significance of the study is not significant.…”

“…14,15,18 The method of moments is widely used in antenna analysis and electromagnetic scattering problems. [19][20][21] SCM is one of the methods used in static or quasi-static magnetic fields. The biggest advantage of this method is that the computational complexity is greatly reduced compared with other methods, the calculation time is shortened, but the calculation accuracy is not enough.…”