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Homogenization of a dielectric mixture with anisotropic spheres in anisotropic background

Sihvola, Ari LU (1996) In Technical Report LUTEDX/(TEAT-7050)/1-15/(1996) TEAT-7050.
Abstract
This paper treats the problem of calculating the macroscopic effective properties

of dielectric mixtures where both the inclusions and the background

medium can be anisotropic. For this homogenization process, the Maxwell

Garnett -type approach is used where the inclusions are assumed to be spherical

and embedded in a homogeneous background medium. The anisotropy of

the background medium has to be described with a symmetric permittivity

dyadic but the inclusion may be fully anisotropic, in other words the inclusion

permittivity dyadic can contain an antisymmetric component. The effect of

the anisotropy of the background is such that the depolarization factors... (More)
This paper treats the problem of calculating the macroscopic effective properties

of dielectric mixtures where both the inclusions and the background

medium can be anisotropic. For this homogenization process, the Maxwell

Garnett -type approach is used where the inclusions are assumed to be spherical

and embedded in a homogeneous background medium. The anisotropy of

the background medium has to be described with a symmetric permittivity

dyadic but the inclusion may be fully anisotropic, in other words the inclusion

permittivity dyadic can contain an antisymmetric component. The effect of

the anisotropy of the background is such that the depolarization factors of

the spheres become different in different directions, even if the geometry is

isotropic. This effect has to be taken into account for the calculation of the

polarizability dyadic. As an example, numerical values are calculated for the

case of gyrotropic spheres in anisotropic environment, both for the polarizability

and effective permittivity dyadics. Finally, some thoughts are raised

concerning the physical interpretation of the anisotropy effect, as well as the

reciprocity of the materials and symmetry of their permittivities. (Less)
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in
Technical Report LUTEDX/(TEAT-7050)/1-15/(1996)
volume
TEAT-7050
pages
15 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
e4777603-2070-42e6-9819-877d20cb7542 (old id 530350)
date added to LUP
2007-09-12 11:55:45
date last changed
2016-09-08 14:26:08
@misc{e4777603-2070-42e6-9819-877d20cb7542,
  abstract     = {This paper treats the problem of calculating the macroscopic effective properties<br/><br>
of dielectric mixtures where both the inclusions and the background<br/><br>
medium can be anisotropic. For this homogenization process, the Maxwell<br/><br>
Garnett -type approach is used where the inclusions are assumed to be spherical<br/><br>
and embedded in a homogeneous background medium. The anisotropy of<br/><br>
the background medium has to be described with a symmetric permittivity<br/><br>
dyadic but the inclusion may be fully anisotropic, in other words the inclusion<br/><br>
permittivity dyadic can contain an antisymmetric component. The effect of<br/><br>
the anisotropy of the background is such that the depolarization factors of<br/><br>
the spheres become different in different directions, even if the geometry is<br/><br>
isotropic. This effect has to be taken into account for the calculation of the<br/><br>
polarizability dyadic. As an example, numerical values are calculated for the<br/><br>
case of gyrotropic spheres in anisotropic environment, both for the polarizability<br/><br>
and effective permittivity dyadics. Finally, some thoughts are raised<br/><br>
concerning the physical interpretation of the anisotropy effect, as well as the<br/><br>
reciprocity of the materials and symmetry of their permittivities.},
  author       = {Sihvola, Ari},
  language     = {eng},
  pages        = {15},
  publisher    = {ARRAY(0x99803c0)},
  series       = {Technical Report LUTEDX/(TEAT-7050)/1-15/(1996)},
  title        = {Homogenization of a dielectric mixture with anisotropic spheres in anisotropic background},
  volume       = {TEAT-7050},
  year         = {1996},
}