TITLE:
Numerical Method for Solving Electromagnetic Wave Scattering by One and Many Small Perfectly Conducting Bodies
AUTHORS:
Nhan T. Tran
KEYWORDS:
Electromagnetic Scattering, Many Bodies, Perfectly Conducting Body, Integral Equation, EM Waves
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.4,
December
14,
2017
ABSTRACT: 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 d 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 is also provided.