Publication detail

An effective permittivity tensor of cylindrically perforated dielectrics

MRNKA, M. RAIDA, Z.

Original Title

An effective permittivity tensor of cylindrically perforated dielectrics

English Title

An effective permittivity tensor of cylindrically perforated dielectrics

Type

journal article in Web of Science

Language

en

Original Abstract

In the letter, we propose a simple analytical effective permittivity model of perforated dielectrics composed of through-hole cylindrical perforations. As the perforated dielectrics are uniaxial media, the model respects the anisotropic properties of the material and the results are simple engineering formulas for effective permittivities of ordinary and extraordinary wave for polarization corresponding to parallel and perpendicular orientation with respect to the axis of perforations. The model is based on the 2-D Maxwell Garnett approximation of inhomogeneous media valid for circularly shaped perforations. The analytical results obtained for propagation of transverse electromagnetic wave are verified by unit-cell full-wave simulations of triangular perforations lattice, and a very good agreement is obtained.

English abstract

In the letter, we propose a simple analytical effective permittivity model of perforated dielectrics composed of through-hole cylindrical perforations. As the perforated dielectrics are uniaxial media, the model respects the anisotropic properties of the material and the results are simple engineering formulas for effective permittivities of ordinary and extraordinary wave for polarization corresponding to parallel and perpendicular orientation with respect to the axis of perforations. The model is based on the 2-D Maxwell Garnett approximation of inhomogeneous media valid for circularly shaped perforations. The analytical results obtained for propagation of transverse electromagnetic wave are verified by unit-cell full-wave simulations of triangular perforations lattice, and a very good agreement is obtained.

Keywords

Anisotropic materials, dielectric resonator antennas, dielectric substrates, permittivity, perforated dielectric

Released

10.01.2018

Publisher

IEEE

Pages from

66

Pages to

69

Pages count

4

BibTex


@article{BUT150873,
  author="Michal {Mrnka} and Zbyněk {Raida}",
  title="An effective permittivity tensor of cylindrically perforated dielectrics",
  annote="In the letter, we propose a simple analytical effective permittivity model of perforated dielectrics composed of through-hole cylindrical perforations. As the perforated dielectrics are uniaxial media, the model respects the anisotropic properties of the material and the results are simple engineering formulas for effective permittivities of ordinary and extraordinary wave for polarization corresponding to parallel and perpendicular orientation with respect to the axis of perforations. The model is based on the 2-D Maxwell Garnett approximation of inhomogeneous media valid for circularly shaped perforations. The analytical results obtained for propagation of transverse electromagnetic wave are verified by unit-cell full-wave simulations of triangular perforations lattice, and a very good agreement is obtained.",
  address="IEEE",
  chapter="150873",
  doi="10.1109/LAWP.2017.2774448",
  howpublished="print",
  institution="IEEE",
  number="1",
  volume="17",
  year="2018",
  month="january",
  pages="66--69",
  publisher="IEEE",
  type="journal article in Web of Science"
}