Development of a System for the Computation of Electromagnetic Wave Scattering from Non-Penetrable Objects by Solving the Electric Field Integral Equation

摘要

In this Trabajo de Fin de Grado (TFG, from now on), the main objective is to determine the radar cross section of perfect electrical conducting objects by numerically solving the Electric Field Integral Equation, using the Method of Moments. A numerical code implementation of the MoM is carried out in this TFG, taking into account all implementation details for an accurate solution to EFIE. udThe Method of Moments is a numerical analysis technique that is used to solve the Maxwell Equations, like other numerical methods such as the Finite Element Method but, unlike this last one, which determines the electric field in volumetric elements solving the Electric Field Differential Equation, the Method of Moments solves the Electric Field Integral Equation obtaining the surface current in triangular elements, and when the current distribution in the object is known, then the total electric field in any point of the space can be obtained. In this TFG it will be explained in detail how to get to the Electric Field Integral Equation, starting from Maxwell’s Electromagnetic Equations in the frequency domain, as well as how to numerically solve the problem to sufficiently well approximated results. Since a direct approach to the topic might be of high complexity, a brief introduction of the Method of Moments is given, and an electrostatic problem is also solved, as a demonstration. udThe project focuses on the study of the frequency behavior of the radar cross section, both monostatic (where the reception part of the radar is placed in the same location as the transmission one) and bistatic (where the transmission and reception parts of the system are in different locations), of metallic objects of moderate electric size. The radar cross section of an object measures the strength of the scattering that the object produces when an electromagnetic plane wave impacts on it. udFinally, the influence of the geometry in the electrical behavior of the different perfect electrical conducting objects to the incidence of an electromagnetic plane wave is detailed. This is an important factor since the direction of the incident plane wave determines whether the object will be more or less visible to the radar.