Analysis of connected structures using equivalence principle algorithm with source reconstruction method

ABSTRACT

A new domain decomposition scheme based on equivalence principle algorithm (EPA) is proposed for analyzing electromagnetic scattering from connected structures. The EPA transforms the unknown of inside scatterers to the unknown on the equivalence surfaces which enclose the scatterers. The challenge arises when the equivalence surface intercepts the connected scatterers, because the current will be singular at the connection that is hard to model. In this paper, a new scheme based on source reconstruction method (SRM) is introduced to deal with the connected problems. This scheme can avoid the current singularity and keep the good convergence of EPA equations. Furthermore, generalized EPA (GEPA) is proposed to improve the theory of EPA and the ability to solve real life problems. Numerical results demonstrate the accuracy and efficiency of the proposed method.

KEYWORDS:

• Domain decomposition
• equivalence principle algorithm
• integral equation
• electromagnetic scattering

Additional information

Funding

This work is supported by National Natural Science Foundation of China [grant number 61501267], [grant number 61301049]; Zhejiang Provincial Natural Science Foundation of China [grant number LQ16F010003]; Ningbo University Discipline Project [grant number XKL14D2058] , [grant number XYL15008], and is partially sponsored by K. C. Wong Magna Fund in Ningbo University.