Numerical method for solving electromagnetic wave scattering by one and many small perfectly conducting bodies
It provides a numerical solution for EM scattering by many small bodies, which is important for applications like metamaterials and antenna design, but the method is incremental as it builds on existing boundary integral equation and asymptotic approaches.
This paper presents a numerical method for solving EM wave scattering by one and many small perfectly conducting bodies, with error analysis and numerical results demonstrating its effectiveness under the assumptions a << d << λ.
In this paper, we investigate the problem of electromagnetic (EM) wave scattering by one and many small perfectly conducting bodies and present a numerical method for solving it. For the case of one body, the problem is solved for a body of arbitrary shape, using the corresponding boundary integral equation. For the case of many bodies, the problem is solved asymptotically under the physical assumptions $a\ll d \ll λ$, where $a$ is the characteristic size of the bodies, $d$ is the minimal distance between neighboring bodies, $λ=2π/k$ is the wave length and $k$ is the wave number. Numerical results for the cases of one and many small bodies are presented. Error analysis for the numerical method are also provided.