# Scattering of Electromagnetic Waves by Many Nano-Wires

## Abstract

**:**

**PACS**03.40.Kf; 03.50 De; 41.20.Jb; 71.36.+c

## 1. Introduction

## 2. EM Wave Scattering by One Thin Perfectly Conducting Cylinder

**Theorem 1.**Electromagnetic wave, scattered by a single cylinder, is calculated by formulas (14) and (15) in which $u=u(\widehat{x}):=u({x}_{1},{x}_{2})$ is given by formula (25).

## 3. Wave Scattering by Many Thin Cylinders

**Theorem 2.**The effective field in the limiting medium satisfies Equation (41).

**Theorem 3.**If $N(\widehat{x})=N$ and $\xi (\widehat{x})=\xi $ are constants in D, then the refraction coefficient in the limiting medium is given by formula (43).

## 4. Conclusions

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## Appendix

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**MDPI and ACS Style**

Ramm, A.G.
Scattering of Electromagnetic Waves by Many Nano-Wires. *Mathematics* **2013**, *1*, 89-99.
https://doi.org/10.3390/math1030089

**AMA Style**

Ramm AG.
Scattering of Electromagnetic Waves by Many Nano-Wires. *Mathematics*. 2013; 1(3):89-99.
https://doi.org/10.3390/math1030089

**Chicago/Turabian Style**

Ramm, Alexander G.
2013. "Scattering of Electromagnetic Waves by Many Nano-Wires" *Mathematics* 1, no. 3: 89-99.
https://doi.org/10.3390/math1030089