### Abstract

The interaction between a metamaterial cylindrical structure and an incident plane wave is investigated. The structure is comprised of two cylinders, one embedded into the other, whose effective characteristics vary with the operating frequency following similar laws. Such a model can be used to describe periodic structures, constituting metamaterials, with slightly different features. The wellknown eigenfunction expansions are adopted, while the boundary conditions are manipulated with help of the translation theorem for cylindrical coordinates. A first-order perturbation solution is obtained leading to simple and computationally efficient formulas. The fluctuations of near-field and far-field responses with respect to the position of the internal cylinder, the permittivities and the frequency are observed and discussed.

Original language | English |
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Pages (from-to) | 23-34 |

Number of pages | 12 |

Journal | Progress In Electromagnetics Research B |

Volume | 3 |

Publication status | Published - Jan 1 2008 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering

### Cite this

**Electromagnetic scattering from two eccentric metamaterial cylinders with frequency-dependent permittivities differing slightly each other.** / Valagiannopoulos, C. A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Electromagnetic scattering from two eccentric metamaterial cylinders with frequency-dependent permittivities differing slightly each other

AU - Valagiannopoulos, C. A.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - The interaction between a metamaterial cylindrical structure and an incident plane wave is investigated. The structure is comprised of two cylinders, one embedded into the other, whose effective characteristics vary with the operating frequency following similar laws. Such a model can be used to describe periodic structures, constituting metamaterials, with slightly different features. The wellknown eigenfunction expansions are adopted, while the boundary conditions are manipulated with help of the translation theorem for cylindrical coordinates. A first-order perturbation solution is obtained leading to simple and computationally efficient formulas. The fluctuations of near-field and far-field responses with respect to the position of the internal cylinder, the permittivities and the frequency are observed and discussed.

AB - The interaction between a metamaterial cylindrical structure and an incident plane wave is investigated. The structure is comprised of two cylinders, one embedded into the other, whose effective characteristics vary with the operating frequency following similar laws. Such a model can be used to describe periodic structures, constituting metamaterials, with slightly different features. The wellknown eigenfunction expansions are adopted, while the boundary conditions are manipulated with help of the translation theorem for cylindrical coordinates. A first-order perturbation solution is obtained leading to simple and computationally efficient formulas. The fluctuations of near-field and far-field responses with respect to the position of the internal cylinder, the permittivities and the frequency are observed and discussed.

UR - http://www.scopus.com/inward/record.url?scp=84992098756&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992098756&partnerID=8YFLogxK

M3 - Article

VL - 3

SP - 23

EP - 34

JO - Progress In Electromagnetics Research B

JF - Progress In Electromagnetics Research B

SN - 1937-6472

ER -