### Abstract

The permittivity tensor of an anisotropic material can be predicted with use of the presented technique. A slab of this substance possessing infinitesimal thickness is illuminated by a normally incident plane wave and rigorous expressions for the transmission coefficients are obtained. The derived formulas are linearly expanded with respect to the small thickness of the slice, while simple approximations of the material permittivities are produced by measuring the transmission coefficients for suitable polarizations. These simplified expressions provide a physical intuition about the use and the function of the anisotropy parameters which cannot be achieved via more precise but also more complex patterns. Some diagrams of the prediction error with respect to the dielectric constants, the size of the slab and the operating frequency are included and discussed.

Original language | English |
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Pages (from-to) | 105-116 |

Number of pages | 12 |

Journal | Progress In Electromagnetics Research B |

Volume | 9 |

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

**On measuring the permittivity tensor of an anisotropic material from the transmission coefficients.** / Valagiannopoulos, C. A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - On measuring the permittivity tensor of an anisotropic material from the transmission coefficients

AU - Valagiannopoulos, C. A.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - The permittivity tensor of an anisotropic material can be predicted with use of the presented technique. A slab of this substance possessing infinitesimal thickness is illuminated by a normally incident plane wave and rigorous expressions for the transmission coefficients are obtained. The derived formulas are linearly expanded with respect to the small thickness of the slice, while simple approximations of the material permittivities are produced by measuring the transmission coefficients for suitable polarizations. These simplified expressions provide a physical intuition about the use and the function of the anisotropy parameters which cannot be achieved via more precise but also more complex patterns. Some diagrams of the prediction error with respect to the dielectric constants, the size of the slab and the operating frequency are included and discussed.

AB - The permittivity tensor of an anisotropic material can be predicted with use of the presented technique. A slab of this substance possessing infinitesimal thickness is illuminated by a normally incident plane wave and rigorous expressions for the transmission coefficients are obtained. The derived formulas are linearly expanded with respect to the small thickness of the slice, while simple approximations of the material permittivities are produced by measuring the transmission coefficients for suitable polarizations. These simplified expressions provide a physical intuition about the use and the function of the anisotropy parameters which cannot be achieved via more precise but also more complex patterns. Some diagrams of the prediction error with respect to the dielectric constants, the size of the slab and the operating frequency are included and discussed.

UR - http://www.scopus.com/inward/record.url?scp=84871457003&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871457003&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84871457003

VL - 9

SP - 105

EP - 116

JO - Progress In Electromagnetics Research B

JF - Progress In Electromagnetics Research B

SN - 1937-6472

ER -