The Time Domain Integral Equation Of Electromagnetic Scattering And Parallel Technology

Most of the research in computational electromagnetics is concentrated in the frequency domain algorithm. Along with the unceasing development of information technology, high speed, broadband signals and non-linear systems are used more and more widely in the practical engineering. So the time domain methods have been springing up gradually for the analysis of the transient electromagnetic scattering. Compared with the frequency domain method, the computing time and memory consumption of time domain method are too large to calculate on a personal computer for many engineering applications. Therefore, it’s necessary to develop the parallel technique of the time domain method.There is a unique advantage in using time domain integral equation (TDIE) to analyze the transient scattering of metal object. The traditional method to solve TDIE is based on marching-on-in-time method (MOT). There is one fatal drawback about the MOT, namely the late time stability problem, which limits its application. The parallel method of the MOT-TDIE is developed in this paper, which can calculate some larger engineering application problems. At last, some numerical examples have been given to verify the correctness and efficiency of this method.Time domain finite element boundary integral (TD-FEBI) method is composed of TDIE and finite element time domain (FETD) method to analyze transient scattering problems of complex objects. Utilizing weighted Laguerre polynomials as entire-domain temporal basis functions, we can not only use marching-on-in-order (MOO) method to solve the TD-FEBI but also get unconditionally stable solution even in late time which is different from MOT. MOO is used in this paper to solve the time domain finite element boundary integral equation, which can be used to analyze the transient electromagnetic scattering characteristics of complex medium. Then parallel version of MOO-TD-FEBI method is developed in this paper. At last, some numerical examples have been given to verify the correctness and efficiency of this parallel method.