Article citationsMore>>

Ramm, A. (2013) Scattering of Acoustic and Electromagnetic Waves by Small Bodies of Arbitrary Shapes. Applications to Creating New Engineered Materials, Momentum, New York.
https://doi.org/10.5643/9781606506226

has been cited by the following article:

• 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.