Over Relaxation Of Electromagnetic Fields In The Adaptive Technology Research,

Finite difference (FD) method becomes one of the most important methods for numerical simulation because of its powerful performance. However, solution of linear equations is always a popular topic in computational electromagnetics. How to calculate linear equations efficiently and accurately is the theme of this paper.Successive Over-Relaxation (SOR) method is one of the efficient solvers for solving linear equations. As a result, solving equations generated from finite difference method by successive over-relaxation is a common way. However, relaxation factor pays an important part in SOR solver. A best relaxation factor is able to improve the efficiency of solver greatly.An adaptive relaxation factor technique has been proposed for accelerating FD method to solve electromagnetic problems in this paper. SOR iterative method has been applied to solve linear equations. How to select an optimal factor in SOR method is still an unsolved problem. The adaptive relaxation factor approach proposed in this paper to select relaxation factor is a further application in electromagnetics. Finally, the novel method on how to select relaxation factor has been used to calculate characteristic impedance of microstrip line and ridge waveguide. Numerical results show that this adaptive method is more efficient when compared with selecting factor by experience.