Solving the Surface Current Distribution for Open PEC-Dielectric Objects Using the Volume Surface Integral Equation

For the open perfect electric conductor (PEC)-dielectric objects, a novel type of volume surface integral equation (VSIE) is proposed to solve the current distribution on both sides of the open PEC surfaces, which cannot be obtained by using the traditional VSIE. In the proposed method, both the electric and magnetic field integral equations are established on both sides of the PEC surfaces, whereas the basic functions are also defined at the borders of PEC surfaces to consider the current flowing over the edges of PEC surfaces. Compared with the traditional VSIE, due to the asynchronous solution processes of the surface current, the added CPU time for the proposed method is quite limited, whereas the memory usage is the same. Numerical results verify the validity and efficiency of the proposed method.

Automated summary

This paper proposes a novel VSIE method for solving the current distribution on both sides of the open PEC surfaces for open perfect electric conductor (PEC)-dielectric objects. Both electric and magnetic field integral equations are established on both sides of the PEC surfaces, and basic functions are defined at the borders to consider current flowing over the edges. Compared to traditional VSIE, the proposed method has limited added CPU time due to the asynchronous solution processes of the surface current, with the memory usage being the same. Numerical results confirm the validity and efficiency of the proposed method.