Skip to main content
Article thumbnail
Location of Repository

Scattering of electromagnetic waves by many thin cylinders

By Alexander G. Ramm

Abstract

Electromagnetic wave scattering by many parallel infinite cylinders is studied asymptotically as $a\to 0$. Here $a$ is the radius of the cylinders. It is assumed that the points $\hat{x}_m$ are distributed so that $\mathcal{N}(\Delta)=\frac{1}{a}\int_{\Delta}N(x)dx[1+o(1)], $ where $\mathcal{N}(\Delta)$ is the number of points $\hat{x}_m=(x_{m1},x_{m2})$ in an arbitrary open subset of the plane $xoy$, the axes of the cylinders are passing through points $\hat{x}_m$, these axes are parallel to the z-axis. The function $N(x)\geq 0$ is a given continuous function. An equation for the self-consistent (efficient) field is derived as $a\to 0$. The cylinders are assumed perfectly conducting. Formula is derived for the effective refraction coefficient in the medium in which many cylinders are distributed

Topics: Mathematical Physics, Condensed Matter - Mesoscale and Nanoscale Physics
Year: 2012
OAI identifier: oai:arXiv.org:1104.3309
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://arxiv.org/abs/1104.3309 (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.