Research And Application About High-order Method Of Moments For Electromagnetic Computation

Recently, computational electromagnetics with a wide range of applications, it has penetrated into every field of electromagnetism, in which electromagnetic scattering problem is an important field. For example, the scattering of radar echoes using aircraft locating, track aircraft and target recognition.Firstly, this thesis introduces the basic principles and applications of high-order method of moments, secondly, the high-order method of moments combined with fast multipole Method, further introduces scattering analysis of electrically large conductors, and finally will extend to electromagnetic scattering from perfectly conducting bodies of revolution. By doing these work, it will fully verify the accuracy, efficiency and rapidity of high-order method of moments. Based on the theory of the best uniform approximation, a new high-order basis function is constructed. Firstly, the unknown current will be expanded by this new high-order basis functions, then further it will solve the electric field integral equation (EFIE), the magnetic field integral equation (MFIE) and the combined field integral equation (CFIE). It is shown that the high-order method of moments has higher precision with lower discretization than the conventional method of moments, and effectively reduces the computational complexity and save computer memory. According to the different shape scattering body, simulation validates the effectiveness of the proposed algorithm and procedures. Further the fast multipole Method is combined with this algorithm to solve the scattering problems of electrically large conductors.The high-order method of moments will be applied to two-dimensional electromagnetic scattering problems and the problems of electromagnetic scattering from perfectly conducting bodies of revolution. Because bodies of revolution has rotational symmetry, the unknown equivalent currents will be expanded in Fourier series inφand sub sectional in t, and the currents will be expanded by high-order basis functions. the solutions obtained combined with error analysis verify the validity of the proposed algorithm and obtain satisfactory results.