| In recent years,in the fields of target recognition,stealth technology,antenna design,integrated circuit optimization and simulation,and electromagnetic compatibility,it is necessary to carry out modeling research on electromagnetic scattering and radiation characteristics of electromagnetic targets with complex structures.Aiming at this problem,this paper studies the domain decomposition method based on the integral equation high-order method of moments to realize the efficient and accurate solution for the radiation and scattering problems of arbitrarily complex electromagnetic targets.First,starting from the basic theory of electromagnetic fields,this article elaborates the mathematical forms of the three integral equations: surface integral equation(SIE),volume integral equation(VIE),and volume surface integral equation(VSIE).And then introducing the detailed solution process of the method of moments(Mo M),which includes the specific introduction of the key steps of geometric modeling,discretization,and the establishment and solution of the impedance matrix.Finally,the relevant parameters of electromagnetic radiation and scattering are supplemented.In order to reduce the calculation unknown quantity and time,this paper uses higher-order method of moment as the basis to study the volume surface integral higher-order method of moment(VSIE-HO-Mo M).The high-order stacked vector basis functions defined in the curved surface triangle and the curved surface tetrahedron are respectively applied to discrete the SIE and VIE,where the VSIE-HO-Mo M is formed and we comprehensively explain the mathematical derivation and properties of basis functions.Then,,the Duffy transformation method is introduced in detail to solve the singularity problem in the numerical integration calculation.In practical engineering applications,continuous meshing will cause many problems,such as difficulty in modeling and more unknowns,etc.Therefore,on the basis of VSIE-HO-Mo M,this paper derives the high-order method of moments based on the noncontinuous division of the volume surface integral equation(DG-VSIE-HO-Mo M),which effectively reduces the difficulty of modeling and has more flexibility than the continuous algorithm.Ultimately,to improve the applicability of the algorithm for extremely large electric size target,this paper applies the domain decomposition idea to the integral equation method of moments,and forms a domain decomposition algorithm based on the higher-order method of moments.After verification,it is found that the new algorithm can effectively calculate the large electric size target and improve the calculation efficiency under the premise of ensuring reliability.This work provides a more effective solution for modeling the radiation and scattering characteristics of complex targets in electromagnetic engineering.Integrating and innovating on the basis of previous work,code development of the corresponding algorithm is completed.And the reliability and validity of the code are verified by numerical examples,which lays a solid foundation for complex target modeling and analysis problems in electromagnetic engineering. |
