A Method Of Region Time - Domain Integral Equations For Region Decomposition Time Based On Equivalent Principle

The research of numerical algorithm which is accurate and efficient for the analysis of electromagnetic scattering is a very important topic in the field of computational electromagnetic. This thesis presents a domain decomposition scheme based on the equivalence principle and the marching-on-in-time based the time domain integral equation, which can effectively reduce memory consumption and computation time for multiple repetitive structures.This thesis introduces the basic principle and implementation process of the domain decomposition scheme based on the equivalence principle and the marching-on-in-time based the time domain integral equation (MOT-EPA). The entire solution domain is divided into a number of sub-domains. Each sub-domain is surrounded by a closed surface. According to the equivalence principle, calculating each sub-domain electromagnetic currents are transferred to calculate equivalent currents on its surrounding surface, the interactions of the sub-domains are transferred to the interactions of the closed surfaces. The electromagnetic currents on the closed surface are updated through the interactions between the closed surfaces. For multiple repetitive structures, this method just needs to calculate the interactions between sub-domain and its closed surface. The unknowns on equivalent surface are reduced compared to the unknowns on sub-domain.Furthermore, plane wave time domain scheme (PWTD) is used to accelerate the domain decomposition scheme based on the equivalence principle and the marching-on-in-time based the time domain integral equation (MOT-EPA).The application of PWTD reduces memory consumption and the computational time.